{"id":328610,"date":"2025-12-03T20:03:11","date_gmt":"2025-12-03T20:03:11","guid":{"rendered":"https:\/\/www.newsbeep.com\/us\/328610\/"},"modified":"2025-12-03T20:03:11","modified_gmt":"2025-12-03T20:03:11","slug":"search-for-light-sterile-neutrinos-with-two-neutrino-beams-at-microboone","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/us\/328610\/","title":{"rendered":"Search for light sterile neutrinos with two neutrino beams at MicroBooNE"},"content":{"rendered":"<p>A broad experimental programme has shown that the three quantum-mechanical eigenstates of neutrino flavour, \u03bde, \u03bd\u03bc and \u03bd\u03c4, are related to the three eigenstates of neutrino mass, \u03bd1, \u03bd2 and \u03bd3, by the unitary Pontecorvo\u2013Maki\u2013Nakagawa\u2013Sakata (PMNS) matrix<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 11\" title=\"Pontecorvo, B. Neutrino experiments and the problem of conservation of leptonic charge. Sov. Phys. JETP 26, 984&#x2013;988 (1968).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR11\" id=\"ref-link-section-d56478613e3359\" rel=\"nofollow noopener\" target=\"_blank\">11<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 12\" title=\"Maki, Z., Nakagawa, M. &amp; Sakata, S. Remarks on the unified model of elementary particles. Prog. Theor. Phys. 28, 870&#x2013;880 (1962).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR12\" id=\"ref-link-section-d56478613e3362\" rel=\"nofollow noopener\" target=\"_blank\">12<\/a>. This mixing between flavour and mass states gives rise to the phenomenon of neutrino oscillation, in which neutrinos transition between flavour eigenstates with a characteristic wavelength in \\(L\/{E}_{\\nu }\\propto {(\\Delta {m}_{ji}^{2})}^{-1}\\), where L is the distance travelled by the neutrino, E\u03bd is the neutrino energy and \\(\\Delta {m}_{ji}^{2}={m}_{j}^{2}-{m}_{i}^{2}\\) is the difference between the squared masses of the mass eigenstates \u03bdi and \u03bdj. The three known neutrino mass states give rise to two independent mass-squared differences and thus to two characteristic oscillation frequencies that have been well measured with neutrinos from nuclear reactors<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 13\" title=\"Abe, S. et al. Precision measurement of neutrino oscillation parameters with KamLAND. Phys. Rev. Lett. 100, 221803 (2008).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR13\" id=\"ref-link-section-d56478613e3544\" rel=\"nofollow noopener\" target=\"_blank\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 14\" title=\"An, F. P. et al. Precision measurement of reactor antineutrino oscillation at kilometer-scale baselines by Daya Bay. Phys. Rev. Lett. 130, 161802 (2023).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR14\" id=\"ref-link-section-d56478613e3547\" rel=\"nofollow noopener\" target=\"_blank\">14<\/a>, the Sun<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 15\" title=\"Aharmim, B. et al. Combined analysis of all three phases of solar neutrino data from the Sudbury Neutrino Observatory. Phys. Rev. C 88, 025501 (2013).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR15\" id=\"ref-link-section-d56478613e3551\" rel=\"nofollow noopener\" target=\"_blank\">15<\/a>, the atmosphere of Earth<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 16\" title=\"Fukuda, Y. et al. Evidence for oscillation of atmospheric neutrinos. Phys. Rev. Lett. 81, 1562&#x2013;1567 (1998).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR16\" id=\"ref-link-section-d56478613e3555\" rel=\"nofollow noopener\" target=\"_blank\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 17\" title=\"Abbasi, R. et al. Measurement of atmospheric neutrino oscillation parameters using convolutional neural networks with 9.3 years of data in IceCube DeepCore. Phys. Rev. Lett. 134, 091801 (2024).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR17\" id=\"ref-link-section-d56478613e3558\" rel=\"nofollow noopener\" target=\"_blank\">17<\/a> and particle accelerators<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Adamson, P. et al. Precision constraints for three-flavor neutrino oscillations from the Full MINOS+ and MINOS dataset. Phys. Rev. Lett. 125, 131802 (2020).\" href=\"#ref-CR18\" id=\"ref-link-section-d56478613e3562\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Acero, M. A. et al. Improved measurement of neutrino oscillation parameters by the NOvA experiment. Phys. Rev. D 106, 032004 (2022).\" href=\"#ref-CR19\" id=\"ref-link-section-d56478613e3562_1\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Abe, K. et al. Measurements of neutrino oscillation parameters from the T2K experiment using 3.6&#x2009;&#xD7;&#x2009;1021 protons on target. Eur. Phys. J. C 83, 782 (2023).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR20\" id=\"ref-link-section-d56478613e3565\" rel=\"nofollow noopener\" target=\"_blank\">20<\/a>.<\/p>\n<p>In apparent conflict with the three-neutrino model, several experiments during the past three decades have made observations that can be interpreted as neutrino flavour change with a wavelength much shorter than is possible given only the two measured mass-squared differences<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Aguilar-Arevalo, A. et al. Evidence for neutrino oscillations from the observation of &#10;                  $${\\overline{\\nu }}_{e}$$&#10;                  &#10;                    &#10;                      &#10;                        &#10;                          &#10;                            &#x3BD;&#10;                          &#10;                          &#xAF;&#10;                        &#10;                      &#10;                      &#10;                        e&#10;                      &#10;                    &#10;                  &#10;                 appearance in a &#10;                  $${\\overline{\\nu }}_{e}$$&#10;                  &#10;                    &#10;                      &#10;                        &#10;                          &#10;                            &#x3BD;&#10;                          &#10;                          &#xAF;&#10;                        &#10;                      &#10;                      &#10;                        e&#10;                      &#10;                    &#10;                  &#10;                 beam. Phys. Rev. D 64, 112007 (2001).\" href=\"#ref-CR3\" id=\"ref-link-section-d56478613e3572\">3<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Aguilar-Arevalo, A. A. et al. Improved search for &#10;                  $${\\overline{\\nu }}_{\\mu }\\to {\\overline{\\nu }}_{e}$$&#10;                  &#10;                    &#10;                      &#10;                        &#10;                          &#10;                            &#10;                              &#x3BD;&#10;                            &#10;                            &#xAF;&#10;                          &#10;                        &#10;                        &#10;                          &#x3BC;&#10;                        &#10;                      &#10;                      &#x2192;&#10;                      &#10;                        &#10;                          &#10;                            &#10;                              &#x3BD;&#10;                            &#10;                            &#xAF;&#10;                          &#10;                        &#10;                        &#10;                          e&#10;                        &#10;                      &#10;                    &#10;                  &#10;                 oscillations in the MiniBooNE experiment. Phys. Rev. Lett. 110, 161801 (2013).\" href=\"#ref-CR4\" id=\"ref-link-section-d56478613e3572_1\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Aguilar-Arevalo, A. A. et al. Updated MiniBooNE neutrino oscillation results with increased data and new background studies. Phys. Rev. D 103, 052002 (2021).\" href=\"#ref-CR5\" id=\"ref-link-section-d56478613e3572_2\">5<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Kaether, F., Hampel, W., Heusser, G., Kiko, J. &amp; Kirsten, T. Reanalysis of the GALLEX solar neutrino flux and source experiments. Phys. Lett. B 685, 47&#x2013;54 (2010).\" href=\"#ref-CR6\" id=\"ref-link-section-d56478613e3572_3\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Abdurashitov, J. N. et al. Measurement of the solar neutrino capture rate with gallium metal. III: results for the 2002&#x2013;2007 data-taking period. Phys. Rev. C 80, 015807 (2009).\" href=\"#ref-CR7\" id=\"ref-link-section-d56478613e3572_4\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Barinov, V. V. et al. A search for electron neutrino transitions to sterile states in the BEST experiment. Phys. Rev. C 105, 065502 (2022).\" href=\"#ref-CR8\" id=\"ref-link-section-d56478613e3572_5\">8<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 9\" title=\"Serebrov, A. P. et al. Search for sterile neutrinos with the Neutrino-4 experiment and measurement results. Phys. Rev. D 104, 032003 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR9\" id=\"ref-link-section-d56478613e3575\" rel=\"nofollow noopener\" target=\"_blank\">9<\/a>. These observations are often explained as neutrino oscillations caused by at least one additional mass state, \u03bd4, corresponding to a mass-squared splitting of \\(\\Delta {m}_{41}^{2}\\gtrsim 1{0}^{-2}\\,{{\\rm{eV}}}^{2}\\), which is much greater than the measured \\(\\Delta {m}_{21}^{2}\\) and \\(\\Delta {m}_{32}^{2}\\). New mass states would require the addition of an equivalent number of new flavour states, in conflict with measurements of the Z-boson decay width<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 21\" title=\"The ALEPH Collaboration Precision electroweak measurements on the Z resonance. Phys. Rep. 427, 257&#x2013;454 (2006).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR21\" id=\"ref-link-section-d56478613e3725\" rel=\"nofollow noopener\" target=\"_blank\">21<\/a>, which have definitively shown that only three light neutrino flavour states couple to the Z boson of the weak interaction. Therefore, these additional neutrino flavour states must be unable to interact through the weak interaction and are thus referred to as \u2018sterile\u2019 neutrinos. In this analysis, we focus specifically on light sterile neutrinos\u2014those with masses below at least half the mass of the Z boson. It should be noted that the term \u2018sterile neutrino\u2019 has also been used to describe new particles, such as heavy right-handed lepton partners, that are potentially more massive than the Z boson. However, our study does not directly test these scenarios. The discovery of additional neutrino states would have profound implications across particle physics and cosmology, for example, on our understanding of the origin of neutrino mass, the nature of dark matter and the number of relativistic degrees of freedom in the early universe.<\/p>\n<p>With the addition of a single new mass state \u03bd4 and a single sterile flavour state \u03bds, the PMNS matrix becomes a 4\u2009\u00d7\u20094 unitary matrix described by six real mixing angles \u03b8ij (1\u2009\u2264\u2009i\u2009&lt;\u2009j\u2009\u2264\u20094). Oscillations driven by the two measured mass-squared splittings have not had time to evolve for small values of L\/E\u03bd. The \u03bd\u03bc to \u03bde flavour-change probability, \\({P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{e}}}}\\), and the \u03bde and \u03bd\u03bc survival probabilities, \\({P}_{{\\nu }_{{\\rm{e}}}\\to {\\nu }_{{\\rm{e}}}}\\) and \\({P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{mu}}}}\\), can then, to a very good approximation, be described by<\/p>\n<p>$${P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{e}}}}={\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}}){\\sin }^{2}\\left(\\frac{\\Delta {m}_{41}^{2}L}{4{E}_{\\nu }}\\right),$$<\/p>\n<p>\n                    (1)\n                <\/p>\n<p>$${P}_{{\\nu }_{{\\rm{e}}}\\to {\\nu }_{{\\rm{e}}}}=1-{\\sin }^{2}(2{\\theta }_{{\\rm{ee}}}){\\sin }^{2}\\left(\\frac{\\Delta {m}_{41}^{2}L}{4{E}_{\\nu }}\\right),$$<\/p>\n<p>\n                    (2)\n                <\/p>\n<p>$${P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{\\mu }}}}=1-{\\sin }^{2}(2{\\theta }_{{\\rm{\\mu \\mu }}}){\\sin }^{2}\\left(\\frac{\\Delta {m}_{41}^{2}L}{4{E}_{\\nu }}\\right),$$<\/p>\n<p>\n                    (3)\n                <\/p>\n<p>where \u03b8ee\u2009\u2261\u2009\u03b814, \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu \\mu }}})\\equiv 4{\\cos }^{2}{\\theta }_{14}{\\sin }^{2}{\\theta }_{24}(1-{\\cos }^{2}{\\theta }_{14}{\\sin }^{2}{\\theta }_{24})\\) and \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})\\equiv {\\sin }^{2}(2{\\theta }_{14}){\\sin }^{2}{\\theta }_{24}\\), following the common parameterization<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 22\" title=\"Giunti, C. &amp; Lasserre, T. eV-scale sterile neutrinos. Annu. Rev. Nucl. Part. Sci. 69, 163&#x2013;190 (2019).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR22\" id=\"ref-link-section-d56478613e4770\" rel=\"nofollow noopener\" target=\"_blank\">22<\/a>. Flavour transitions due to these new oscillation parameters are experimentally probed by observing unexpected deficits or excesses in charged current (CC) \u03bde and \u03bd\u03bc interactions in a flavour-sensitive neutrino detector from a source of well-defined neutrino flavour content.<\/p>\n<p>Observations compatible with a fourth neutrino mass state have been made in measurements of intense electron-capture decay sources<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Kaether, F., Hampel, W., Heusser, G., Kiko, J. &amp; Kirsten, T. Reanalysis of the GALLEX solar neutrino flux and source experiments. Phys. Lett. B 685, 47&#x2013;54 (2010).\" href=\"#ref-CR6\" id=\"ref-link-section-d56478613e4785\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Abdurashitov, J. N. et al. Measurement of the solar neutrino capture rate with gallium metal. III: results for the 2002&#x2013;2007 data-taking period. Phys. Rev. C 80, 015807 (2009).\" href=\"#ref-CR7\" id=\"ref-link-section-d56478613e4785_1\">7<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 8\" title=\"Barinov, V. V. et al. A search for electron neutrino transitions to sterile states in the BEST experiment. Phys. Rev. C 105, 065502 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR8\" id=\"ref-link-section-d56478613e4788\" rel=\"nofollow noopener\" target=\"_blank\">8<\/a>, in which a deficit in detected \u03bde rates implies non-unity \\({P}_{{\\nu }_{{\\rm{e}}}\\to {\\nu }_{{\\rm{e}}}}\\) from a \\(\\Delta {m}_{41}^{2} &gt; {\\mathcal{O}}(1\\,{{\\rm{eV}}}^{2})\\). Although a hint of non-unity \\({P}_{{\\overline{\\nu }}_{{\\rm{e}}}\\to {\\overline{\\nu }}_{{\\rm{e}}}}\\) is provided by the nuclear-reactor-based Neutrino-4 experiment<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 9\" title=\"Serebrov, A. P. et al. Search for sterile neutrinos with the Neutrino-4 experiment and measurement results. Phys. Rev. D 104, 032003 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR9\" id=\"ref-link-section-d56478613e4984\" rel=\"nofollow noopener\" target=\"_blank\">9<\/a>, this result is in conflict with other reactor-based observations from DANSS, NEOS, PROSPECT and STEREO, which see no evidence for L\/E\u03bd-dependent \\({\\overline{\\nu }}_{{\\rm{e}}}\\) disappearance<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Danilov, M. &amp; Skrobova, N. New results from the DANSS experiment. Proc. Sci. 398, 241 (2022).\" href=\"#ref-CR23\" id=\"ref-link-section-d56478613e5030\">23<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Atif, Z. et al. Search for sterile neutrino oscillations using RENO and NEOS data. Phys. Rev. D 105, L111101 (2022).\" href=\"#ref-CR24\" id=\"ref-link-section-d56478613e5030_1\">24<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Andriamirado, M. et al. Final search for short-baseline neutrino oscillations with the PROSPECT-I detector at HFIR. Phys. Rev. Lett. 134, 151802 (2024).\" href=\"#ref-CR25\" id=\"ref-link-section-d56478613e5030_2\">25<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 26\" title=\"Almaz&#xE1;n, H. et al. Improved sterile neutrino constraints from the STEREO experiment with 179&#x2009;days of reactor-on data. Phys. Rev. D 102, 052002 (2020).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR26\" id=\"ref-link-section-d56478613e5033\" rel=\"nofollow noopener\" target=\"_blank\">26<\/a>. Two accelerator-based experiments, LSND and MiniBooNE, have observed potential evidence of non-zero \\({P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{e}}}}\\) associated with large mass splittings of \\(\\Delta {m}_{41}^{2} &gt; {\\mathcal{O}}(1{0}^{-2}\\,{{\\rm{e}}{\\rm{V}}}^{2})\\). The LSND experiment observed an anomalous excess of \\({\\overline{\\nu }}_{{\\rm{e}}}\\) interactions in a \u03c0+ decay-at-rest beam<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 3\" title=\"Aguilar-Arevalo, A. et al. Evidence for neutrino oscillations from the observation of &#010;                  $${\\overline{\\nu }}_{e}$$&#010;                  &#010;                    &#010;                      &#010;                        &#010;                          &#010;                            &#x3BD;&#010;                          &#010;                          &#xAF;&#010;                        &#010;                      &#010;                      &#010;                        e&#010;                      &#010;                    &#010;                  &#010;                 appearance in a &#010;                  $${\\overline{\\nu }}_{e}$$&#010;                  &#010;                    &#010;                      &#010;                        &#010;                          &#010;                            &#x3BD;&#010;                          &#010;                          &#xAF;&#010;                        &#010;                      &#010;                      &#010;                        e&#010;                      &#010;                    &#010;                  &#010;                 beam. Phys. Rev. D 64, 112007 (2001).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR3\" id=\"ref-link-section-d56478613e5204\" rel=\"nofollow noopener\" target=\"_blank\">3<\/a>. The MiniBooNE experiment, situated downstream from the Booster Neutrino Beam (BNB) proton target facility generating a beam of GeV-scale \u03bd\u03bc and \\({\\overline{\\nu }}_{{\\rm{\\mu }}}\\) from decays of boosted \u03c0+ and \u03c0\u2212, observed an excess of electromagnetic showers indicative of \u03bde interactions that would imply a non-zero \\({P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{e}}}}\\) (refs.\u2009<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 4\" title=\"Aguilar-Arevalo, A. A. et al. Improved search for &#010;                  $${\\overline{\\nu }}_{\\mu }\\to {\\overline{\\nu }}_{e}$$&#010;                  &#010;                    &#010;                      &#010;                        &#010;                          &#010;                            &#010;                              &#x3BD;&#010;                            &#010;                            &#xAF;&#010;                          &#010;                        &#010;                        &#010;                          &#x3BC;&#010;                        &#010;                      &#010;                      &#x2192;&#010;                      &#010;                        &#010;                          &#010;                            &#010;                              &#x3BD;&#010;                            &#010;                            &#xAF;&#010;                          &#010;                        &#010;                        &#010;                          e&#010;                        &#010;                      &#010;                    &#010;                  &#010;                 oscillations in the MiniBooNE experiment. Phys. Rev. Lett. 110, 161801 (2013).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR4\" id=\"ref-link-section-d56478613e5306\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"Aguilar-Arevalo, A. A. et al. Updated MiniBooNE neutrino oscillation results with increased data and new background studies. Phys. Rev. D 103, 052002 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR5\" id=\"ref-link-section-d56478613e5309\" rel=\"nofollow noopener\" target=\"_blank\">5<\/a>). Observations of \u03bde disappearance and \u03bde appearance should be accompanied by \u03bd\u03bc disappearance (non-unity \\({P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{\\mu }}}}\\)) if the PMNS matrix is unitary. No conclusive observation of this \u03bd\u03bc disappearance has been reported<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Adamson, P. et al. Search for sterile neutrinos in MINOS and MINOS+ using a two-detector fit. Phys. Rev. Lett. 122, 091803 (2019).\" href=\"#ref-CR27\" id=\"ref-link-section-d56478613e5381\">27<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Abbasi, R. et al. A search for an eV-scale sterile neutrino using improved high-energy &#x3BD;&#x3BC; event reconstruction in IceCube. Phys. Rev. Lett. 133, 201804 (2024).\" href=\"#ref-CR28\" id=\"ref-link-section-d56478613e5381_1\">28<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 29\" title=\"Acero, M. A. et al. Dual-baseline search for active-to-sterile neutrino oscillations in NOVA. Phys. Rev. Lett. 134, 081804 (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR29\" id=\"ref-link-section-d56478613e5384\" rel=\"nofollow noopener\" target=\"_blank\">29<\/a>. The overall picture of the existence and phenomenology of sterile neutrino states thus remains inconclusive.<\/p>\n<p>In this article, we present new results on sterile neutrino oscillations from the MicroBooNE liquid-argon time projection chamber (LArTPC) experiment at Fermilab<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 10\" title=\"Acciarri, R. et al. Design and construction of the MicroBooNE detector. J. Instrum. 12, P02017 (2017).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR10\" id=\"ref-link-section-d56478613e5392\" rel=\"nofollow noopener\" target=\"_blank\">10<\/a>. Situated along the same BNB beamline hosting the MiniBooNE experiment, MicroBooNE was conceived to directly test the non-zero \\({P}_{{\\nu }_{{\\rm{\\mu }}}\\to {\\nu }_{{\\rm{e}}}}\\) observation of MiniBooNE. By supplanting the Cherenkov detection technology of MiniBooNE with the precise imaging and calorimetric capabilities of a LArTPC, MicroBooNE can reduce backgrounds and select a high-purity sample of true \u03bde-generated final-state electrons. The first \u03bde measurement results of MicroBooNE using differing final-state topologies showed no evidence for an excess of \u03bde-generated electrons from the BNB<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Abratenko, P. et al. Search for an excess of electron neutrino interactions in MicroBooNE using multiple final-state topologies. Phys. Rev. Lett. 128, 241801 (2022).\" href=\"#ref-CR30\" id=\"ref-link-section-d56478613e5460\">30<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Abratenko, P. et al. Search for an anomalous excess of charged-current quasielastic &#x3BD;e interactions with the MicroBooNE experiment using deep-learning-based reconstruction. Phys. Rev. D 105, 112003 (2022).\" href=\"#ref-CR31\" id=\"ref-link-section-d56478613e5460_1\">31<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Abratenko, P. et al. Search for an anomalous excess of charged-current &#x3BD;e interactions without pions in the final state with the MicroBooNE experiment. Phys. Rev. D 105, 112004 (2022).\" href=\"#ref-CR32\" id=\"ref-link-section-d56478613e5460_2\">32<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 33\" title=\"Abratenko, P. et al. Search for an anomalous excess of inclusive charged-current &#x3BD;e interactions in the MicroBooNE experiment using wire-cell reconstruction. Phys. Rev. D 105, 112005 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR33\" id=\"ref-link-section-d56478613e5463\" rel=\"nofollow noopener\" target=\"_blank\">33<\/a>. These results were used to set limits on \u03bd\u03bc\u2009\u2192\u2009\u03bde flavour transitions, excluding sections of the region in \\((\\Delta {m}_{41}^{2},{\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}}))\\) space favoured by LSND and MiniBooNE data<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 34\" title=\"Abratenko, P. et al. First constraints on light sterile neutrino oscillations from combined appearance and disappearance searches with the MicroBooNE detector. Phys. Rev. Lett. 130, 011801 (2023).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR34\" id=\"ref-link-section-d56478613e5558\" rel=\"nofollow noopener\" target=\"_blank\">34<\/a>. As the BNB has an intrinsic contamination of electron neutrinos, the disappearance of electron neutrinos can cancel the appearance of electron neutrinos from \u03bd\u03bc\u2009\u2192\u2009\u03bde oscillations<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 35\" title=\"Arg&#xFC;elles, C. A. et al. MicroBooNE and the &#x3BD;e interpretation of the MiniBooNE low-energy excess. Phys. Rev. Lett. 128, 241802 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR35\" id=\"ref-link-section-d56478613e5570\" rel=\"nofollow noopener\" target=\"_blank\">35<\/a>. This effect leads to a degeneracy between the impact of the mixing angles \u03b8\u03bce and \u03b8ee of equations (<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"equation anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Equ1\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>) and (<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"equation anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Equ2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>) that weakens the sensitivity to the parameters of the expanded 4\u2009\u00d7\u20094 PMNS matrix.<\/p>\n<p>We overcome the limitations of the degeneracy between \u03bde appearance and \u03bde disappearance by performing one of the first oscillation searches using two accelerator neutrino beams: the BNB and the Neutrinos at the Main Injector (NuMI) beam. The MicroBooNE detector is aligned with the direction of BNB and is at an angle of about 8\u00b0 relative to the NuMI beam. Beam timing information is used to distinguish and record events from each beam separately. This configuration results in two neutrino datasets differing in the intrinsic electron-flavour fraction. The electron-flavour content of BNB is 0.57% and that of the NuMI beam is 4.6%. These two independent sets of data, with substantially different electron-flavour contents, break the degeneracy between \u03bde appearance and disappearance. We show the impact of using two beams in Fig. <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Fig1\" rel=\"nofollow noopener\" target=\"_blank\">1a,b<\/a>, in which we compare simulated \u03bde energy spectra from the BNB and the NuMI beam for the three-flavour (3\u03bd) hypothesis and for two sets of parameters of the expanded four-flavour (4\u03bd) PMNS model with \\(\\Delta {m}_{41}^{2}=1.2\\,{{\\rm{e}}{\\rm{V}}}^{2}\\) and \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})=0.003\\). For \\({\\sin }^{2}{\\theta }_{24}=0.0045\\) the \u03bde appearance and disappearance cancel in the BNB, leaving a \u03bde spectrum that is almost identical to the 3\u03bd case, whereas the NuMI beam shows an indication of \u03bde disappearance. The appearance and disappearance effects almost fully cancel in the NuMI beam for \\({\\sin }^{2}{\\theta }_{24}=0.018\\), whereas the BNB shows a clear indication of \u03bde appearance. In the <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"section anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Sec2\" rel=\"nofollow noopener\" target=\"_blank\">Methods<\/a>, we provide further discussion of this degeneracy over a broader range of mass-squared splittings and mixing angles.<\/p>\n<p>Fig. 1: Illustration of the breaking of the degeneracy between \u03bde appearance and disappearance enabled by the independent BNB and NuMI datasets in MicroBooNE.<a class=\"c-article-section__figure-link\" data-test=\"img-link\" data-track=\"click\" data-track-label=\"image\" data-track-action=\"view figure\" href=\"https:\/\/www.nature.com\/articles\/s41586-025-09757-7\/figures\/1\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" aria-describedby=\"Fig1\" src=\"https:\/\/www.newsbeep.com\/us\/wp-content\/uploads\/2025\/12\/41586_2025_9757_Fig1_HTML.png\" alt=\"figure 1\" loading=\"lazy\" width=\"685\" height=\"1012\"\/><\/a><\/p>\n<p>a,b, Simulated reconstructed energy spectra of FC CC \u03bde interactions in MicroBooNE from the BNB (a) and the NuMI beam (b). The dark blue histograms show the 3\u03bd expectation for \\({\\sin }^{2}{\\theta }_{24}={\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})=0\\). The light blue and red histograms show expectations for two sets of parameters of the 4\u03bd model, both with \\(\\Delta {m}_{41}^{2}=1.2\\,{{\\rm{e}}{\\rm{V}}}^{2}\\) and \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})=0.003\\). The light blue histograms show the expectation for \\({\\sin }^{2}{\\theta }_{24}=0.018\\) and the red histograms show the expectation for \\({\\sin }^{2}{\\theta }_{24}=0.0045\\). Note that these parameters were chosen specifically to highlight differences in the oscillated spectra between BNB and NuMI and do not imply that parameter spaces associated with these values are newly excluded by this result.<\/p>\n<p>Using the two-beam technique, this new MicroBooNE analysis achieves marked improvements in sensitivity to the parameters \\({\\sin }^{2}(2{\\theta }_{{\\rm{ee}}})\\) and \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})\\) relative to MicroBooNE\u2019s prior sterile neutrino analysis over a broad range of \\(\\Delta {m}_{41}^{2}\\) values. These improvements are shown by the sensitivities presented in Extended Data Fig. <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>. The results presented here using two neutrino beams place robust new constraints on the validity of the sterile neutrino hypothesis in explaining existing short-baseline anomalies in neutrino physics. This analysis strengthens the direct test of the sterile neutrino interpretation of the MiniBooNE anomaly and allows MicroBooNE to probe the \\({\\sin }^{2}(2{{\\theta }}_{{\\rm{\\mu }}{\\rm{e}}})\\) parameter space favoured by LSND. We also constrain \\({\\sin }^{2}(2{\\theta }_{{\\rm{ee}}})\\), complementing existing exclusions from reactor, solar<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 36\" title=\"Goldhagen, K., Maltoni, M., Reichard, S. E. &amp; Schwetz, T. Testing sterile neutrino mixing with present and future solar neutrino data. Eur. Phys. J. C 82, 116 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR36\" id=\"ref-link-section-d56478613e6428\" rel=\"nofollow noopener\" target=\"_blank\">36<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 37\" title=\"Berryman, J. M., Coloma, P., Huber, P., Schwetz, T. &amp; Zhou, A. Statistical significance of the sterile-neutrino hypothesis in the context of reactor and gallium data. JHEP 02, 055 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR37\" id=\"ref-link-section-d56478613e6431\" rel=\"nofollow noopener\" target=\"_blank\">37<\/a> and \u03b2-decay<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 38\" title=\"Aker, M. et al. Improved eV-scale sterile-neutrino constraints from the second KATRIN measurement campaign. Phys. Rev. D 105, 072004 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR38\" id=\"ref-link-section-d56478613e6435\" rel=\"nofollow noopener\" target=\"_blank\">38<\/a> experiments, thereby further restricting the sterile neutrino parameter space relevant to the gallium anomaly.<\/p>\n<p>We use data corresponding to 6.369\u2009\u00d7\u20091020 protons on target (POT) in the BNB, with magnetic van der Meer horns configured to focus positively charged hadrons, leading to a \u03bd\u03bc-dominated beam with a 5.9% \\({\\overline{\\nu }}_{{\\rm{\\mu }}}\\) component and a 0.57% \\({\\nu }_{{\\rm{e}}}+{\\overline{\\nu }}_{{\\rm{e}}}\\) component. From the NuMI beam, a total of 10.54\u2009\u00d7\u20091020 POT are used, in which 30.8% were taken with horns configured to focus positively charged hadrons and the remainder with horns focusing negatively charged hadrons. The NuMI flux observed in the MicroBooNE detector, with both horn configurations combined, is \u03bd\u03bc dominated with a 42.1% \\({\\overline{\\nu }}_{{\\rm{\\mu }}}\\) component and a 4.6% \\({\\nu }_{{\\rm{e}}}+{\\overline{\\nu }}_{{\\rm{e}}}\\) component. In the rest of this paper, we do not discriminate between neutrinos and antineutrinos and refer to the \\({\\nu }_{{\\rm{\\mu }}}+{\\overline{\\nu }}_{{\\rm{\\mu }}}\\) and \\({\\nu }_{{\\rm{e}}}+{\\overline{\\nu }}_{{\\rm{e}}}\\) samples as \u03bd\u03bc and \u03bde samples for brevity. For both BNB and NuMI, the POT used in this analysis represent roughly half of the total data collected by the MicroBooNE detector; additional data remain available for future studies.<\/p>\n<p>The LArTPC detector of MicroBooNE has an active volume of 10.4\u2009\u00d7\u20092.6\u2009\u00d7\u20092.3\u2009m3 containing 85\u2009tonnes of liquid argon. Charged particles passing through the argon create ionization trails. A 273\u2009V\u2009cm\u22121 electric field drifts the ionization electrons towards an anode plane consisting of three layers of wires separated by 3\u2009mm and each with a 3-mm wire pitch that collects the electrons and enables three-dimensional imaging of the neutrino interactions. The passage of charged particles through the argon also produces scintillation light that is collected by a system of photomultiplier tubes to provide timing information. Signal processing and calibrations of MicroBooNE data are described in refs.\u2009<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Acciarri, R. et al. Noise characterization and filtering in the MicroBooNE liquid argon TPC. J. Instrum. 12, P08003 (2017).\" href=\"#ref-CR39\" id=\"ref-link-section-d56478613e6745\">39<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Adams, C. et al. Ionization electron signal processing in single phase LArTPCs. Part I. Algorithm description and quantitative evaluation with MicroBooNE simulation. J. Instrum. 13, P07006 (2018).\" href=\"#ref-CR40\" id=\"ref-link-section-d56478613e6745_1\">40<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Adams, C. et al. Ionization electron signal processing in single phase LArTPCs. Part II. Data\/simulation comparison and performance in MicroBooNE. J. Instrum. 13, P07007 (2018).\" href=\"#ref-CR41\" id=\"ref-link-section-d56478613e6745_2\">41<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Adams, C. et al. Calibration of the charge and energy loss per unit length of the MicroBooNE liquid argon time projection chamber using muons and protons. J. Instrum. 15, P03022 (2020).\" href=\"#ref-CR42\" id=\"ref-link-section-d56478613e6745_3\">42<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Adams, C. et al. A method to determine the electric field of liquid argon time projection chambers using a UV laser system and its application in MicroBooNE. J. Instrum. 15, P07010 (2020).\" href=\"#ref-CR43\" id=\"ref-link-section-d56478613e6745_4\">43<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 44\" title=\"Abratenko, P. et al. Measurement of space charge effects in the MicroBooNE LArTPC using cosmic muons. J. Instrum. 15, P12037 (2020).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR44\" id=\"ref-link-section-d56478613e6748\" rel=\"nofollow noopener\" target=\"_blank\">44<\/a>.<\/p>\n<p>Neutrino interactions in the LArTPC are reconstructed with the Wire-Cell analysis framework<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 45\" title=\"Abratenko, P. et al. Wire-cell 3D pattern recognition techniques for neutrino event reconstruction in large LArTPCs: algorithm description and quantitative evaluation with MicroBooNE simulation. J. Instrum. 17, P01037 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR45\" id=\"ref-link-section-d56478613e6755\" rel=\"nofollow noopener\" target=\"_blank\">45<\/a>. The techniques for identifying and reconstructing neutrino interactions and their energies have been described elsewhere<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 33\" title=\"Abratenko, P. et al. Search for an anomalous excess of inclusive charged-current &#x3BD;e interactions in the MicroBooNE experiment using wire-cell reconstruction. Phys. Rev. D 105, 112005 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR33\" id=\"ref-link-section-d56478613e6759\" rel=\"nofollow noopener\" target=\"_blank\">33<\/a>. We select a sample of CC \u03bde interactions from the BNB (NuMI beam) with 82% (91%) purity and 46% (42%) efficiency, and a sample of CC \u03bd\u03bc interactions with 92% (78%) purity and 68% (62%) efficiency. The CC \u03bde and CC \u03bd\u03bc samples are divided into fully contained (FC) and partially contained (PC) samples, depending on whether all charge depositions are contained in a fiducial volume 3\u2009cm within the TPC boundary. The CC \u03bd\u03bc events that contain a reconstructed \u03c00 are separated into two additional FC and PC samples per beam. Neutral current (NC) interactions that produce a \u03c00 are distinguished by the absence of a long muon-like track and the presence of detached reconstructed electromagnetic showers. These form an additional sample. In total, we define 14 distinct event categories, seven for each beam.<\/p>\n<p>We produce a Monte Carlo prediction of our 14 samples, to which we compare the data. There is substantial systematic uncertainty creating this Monte Carlo simulation. The uncertainty on the predicted rates of the 14 samples is given in Table <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"table anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Tab1\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a> and is referred to as the unconstrained systematic uncertainty. The largest uncertainties come from neutrino interaction modelling for the BNB samples and from a combination of neutrino flux and interaction uncertainties for the NuMI samples. Many of these uncertainties are highly correlated. Thus, a combined fit of all samples effectively constrains the uncertainties on the CC \u03bde prediction and at the same time allows the CC \u03bde prediction to be modified, as can be seen from Table <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"table anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Tab1\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>. The pionless samples constrain uncertainties on CC \u03bde signal events, whereas the \u03c00 samples constrain uncertainties on the dominant background.<\/p>\n<p>Table 1 Event counts and systematic uncertainties<\/p>\n<p>Uncertainties on the neutrino flux prediction arise from uncertainties in the production of charged pions and kaons in the BNB and NuMI targets and the material around the target halls and hadron-decay volumes. These uncertainties are evaluated through comparison with external hadron production data<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Tinti, G. M. Sterile neutrino oscillations in MINOS and hadron production in pC collisions. PhD Thesis, Univ. Oxford (2023).\" href=\"#ref-CR46\" id=\"ref-link-section-d56478613e7238\">46<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Alt, C. et al. Inclusive production of charged pions in p+C collisions at 158-GeV\/c beam momentum. Eur. Phys. J. C 49, 897&#x2013;917 (2007).\" href=\"#ref-CR47\" id=\"ref-link-section-d56478613e7238_1\">47<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 48\" title=\"NA61\/SHINE Collaboration. Measurements of &#x3C0;&#xB1;, K&#xB1;, &#010;                  $${{\\rm{K}}}_{{\\rm{S}}}^{0}$$&#010;                  &#010;                    &#010;                      &#010;                        K&#010;                      &#010;                      &#010;                        S&#010;                      &#010;                      &#010;                        0&#010;                      &#010;                    &#010;                  &#010;                , &#x39B; and proton production in proton&#x2013;carbon interactions at 31&#x2009;GeV\/c with the NA61\/SHINE spectrometer at the CERN SPS. Eur. Phys. J. C 76, 84 (2016).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR48\" id=\"ref-link-section-d56478613e7241\" rel=\"nofollow noopener\" target=\"_blank\">48<\/a>, following a procedure similar to that described in ref.\u2009<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 49\" title=\"Aliaga, L. et al. Neutrino flux predictions for the NuMI beam. Phys. Rev. D 94, 092005 (2016).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR49\" id=\"ref-link-section-d56478613e7245\" rel=\"nofollow noopener\" target=\"_blank\">49<\/a>. The \u03bde flux from three-body K and \u03bc decays is highly correlated with the \u03bd\u03bc flux from two-body \u03c0 and K decays, allowing our \u03bd\u03bc samples to effectively constrain the uncertainties on the \u03bde flux predictions. The neutrino interaction model is tuned using datasets of pionless CC interactions from the T2K experiment<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 50\" title=\"Abratenko, P. et al. New CC0&#x3C0; GENIE model tune for MicroBooNE. Phys. Rev. D 105, 072001 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR50\" id=\"ref-link-section-d56478613e7266\" rel=\"nofollow noopener\" target=\"_blank\">50<\/a>. Uncertainties on this neutrino interaction model are evaluated by varying the input parameters within their allowed uncertainties. These uncertainties are correlated between the BNB and NuMI datasets and between the CC \u03bd\u03bc and \u03bde samples because of the lepton universality of the weak interaction. Uncertainties on the simulation of the detector include uncertainties on the response of the detector to ionization, uncertainties on the amount of ionization charge freed by passing charged particles through the detector, uncertainties on the electric field map of the TPC, uncertainties on the production and propagation of scintillation light, uncertainties on backgrounds from interactions occurring outside the cryostat, and uncertainties on finite statistics of the simulation samples used for predictions.<\/p>\n<p>The simultaneous fit to the 14 samples from the BNB and the NuMI beam incorporates all sources of systematic uncertainty through a covariance matrix. We allow \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})\\), \\({\\sin }^{2}(2{\\theta }_{{\\rm{ee}}})\\) and \\(\\Delta {m}_{41}^{2}\\) complete freedom within unitarity bounds as parameters of the fit. The covariance-matrix formalism \u03c72 test of the fit can be found in the <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"section anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Sec2\" rel=\"nofollow noopener\" target=\"_blank\">Methods<\/a>. The constrained predictions shown in Fig. <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Fig2\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a> assume the 3\u03bd hypothesis of \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})={\\sin }^{2}(2{\\theta }_{{\\rm{ee}}})=0\\). They agree well with the data, with a P-value of 0.92. The best-fit values for the oscillation parameters in the 4\u03bd hypothesis are \\(\\Delta {m}_{41}^{2}=1.30\\times 1{0}^{-2}\\,{{\\rm{e}}{\\rm{V}}}^{2}\\), \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})=0.999\\), and \\({\\sin }^{2}(2{\\theta }_{{\\rm{ee}}})=0.999\\), with a \u03c72 difference with respect to the 3\u03bd hypothesis of<\/p>\n<p>$$\\Delta {\\chi }^{2}={\\chi }_{{\\rm{null}},3\\nu }^{2}-{\\chi }_{\\min ,4\\nu }^{2}=0.228.$$<\/p>\n<p>\n                    (4)\n                <\/p>\n<p>We observe no marked preference for the existence of a sterile neutrino with a P-value of 0.96 evaluated using the Feldman\u2013Cousins procedure.<\/p>\n<p>Fig. 2: Observed CC \u03bde candidate events.<a class=\"c-article-section__figure-link\" data-test=\"img-link\" data-track=\"click\" data-track-label=\"image\" data-track-action=\"view figure\" href=\"https:\/\/www.nature.com\/articles\/s41586-025-09757-7\/figures\/2\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" aria-describedby=\"Fig2\" src=\"https:\/\/www.newsbeep.com\/us\/wp-content\/uploads\/2025\/12\/41586_2025_9757_Fig2_HTML.png\" alt=\"figure 2\" loading=\"lazy\" width=\"685\" height=\"1238\"\/><\/a><\/p>\n<p>a\u2013d, Reconstructed energy spectra of events selected as FC CC \u03bde candidates in the BNB (a), PC CC \u03bde candidates in the BNB (b), FC \u03bde candidates in the NuMI beam (c) and PC \u03bde candidates in the NuMI beam (d). The data points are shown with statistical error bars. The constrained predictions for each sample are shown for the 3\u03bd hypothesis as the solid histograms, with the blue showing the true CC \u03bde events and the green showing the background events. The background category contains CC \u03bd\u03bc interactions, NC neutrino interactions, cosmic rays and interactions occurring outside the fiducial volume of the detector. The yellow band shows the total constrained systematic uncertainty on the prediction.<\/p>\n<p>Exclusion contours are calculated using the frequentist CLs (confidence level as a function of s) method<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 51\" title=\"Read, A. L. Presentation of search results: the CLs technique. J. Phys. G 28, 2693&#x2013;2704 (2002).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR51\" id=\"ref-link-section-d56478613e7906\" rel=\"nofollow noopener\" target=\"_blank\">51<\/a>. The exclusion contour in any two-dimensional parameter space is obtained by profiling the third free parameter. At any point in the two-dimensional space, the value of the profiled parameter that minimizes the \u03c72 with respect to the data is chosen. Figure <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3a<\/a> shows the 95% CLs exclusion contour in the \\((\\Delta {m}_{41}^{2},{\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}}))\\) parameter space. The region allowed at 99% CL by the LSND measurement and the vast majority of the region allowed at the 95% CL by the MiniBooNE experiment are excluded. Figure <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3b<\/a> shows the 95% CLs exclusion contour in the \\((\\Delta {m}_{41}^{2},{\\sin }^{2}(2{\\theta }_{{\\rm{ee}}}))\\) parameter space. A notable portion of the region allowed by gallium measurements and part of the region derived from the Neutrino-4 measurement are excluded. In the <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"section anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Sec2\" rel=\"nofollow noopener\" target=\"_blank\">Methods<\/a> and Extended Data Fig. <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>, we compare our exclusions with the expected median sensitivities.<\/p>\n<p>Fig. 3: Constraints on parameters of the 4\u03bd oscillation model.<a class=\"c-article-section__figure-link\" data-test=\"img-link\" data-track=\"click\" data-track-label=\"image\" data-track-action=\"view figure\" href=\"https:\/\/www.nature.com\/articles\/s41586-025-09757-7\/figures\/3\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" aria-describedby=\"Fig3\" src=\"https:\/\/www.newsbeep.com\/us\/wp-content\/uploads\/2025\/12\/41586_2025_9757_Fig3_HTML.png\" alt=\"figure 3\" loading=\"lazy\" width=\"685\" height=\"1083\"\/><\/a><\/p>\n<p>a,b, The red lines show exclusion limits at the 95% CLs level in the plane of \\(\\Delta {m}_{41}^{2}\\) and \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu }}{\\rm{e}}})\\) (a) or \\({\\sin }^{2}(2{\\theta }_{{\\rm{e}}{\\rm{e}}})\\) (b). All the regions to the right of these lines are excluded by the MicroBooNE data. In a, the yellow shaded area is the LSND 99% CL allowed regions<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 3\" title=\"Aguilar-Arevalo, A. et al. Evidence for neutrino oscillations from the observation of &#010;                  $${\\overline{\\nu }}_{e}$$&#010;                  &#010;                    &#010;                      &#010;                        &#010;                          &#010;                            &#x3BD;&#010;                          &#010;                          &#xAF;&#010;                        &#010;                      &#010;                      &#010;                        e&#010;                      &#010;                    &#010;                  &#010;                 appearance in a &#010;                  $${\\overline{\\nu }}_{e}$$&#010;                  &#010;                    &#010;                      &#010;                        &#010;                          &#010;                            &#x3BD;&#010;                          &#010;                          &#xAF;&#010;                        &#010;                      &#010;                      &#010;                        e&#010;                      &#010;                    &#010;                  &#010;                 beam. Phys. Rev. D 64, 112007 (2001).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR3\" id=\"ref-link-section-d56478613e8261\" rel=\"nofollow noopener\" target=\"_blank\">3<\/a>, which neglects the degeneracy between \u03bde disappearance and appearance. The light blue area is the MiniBooNE 95% CL allowed region<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 58\" title=\"Aguilar-Arevalo, A. A. et al. MiniBooNE and MicroBooNE combined fit to a 3&#x2009;+&#x2009;1 sterile neutrino scenario. Phys. Rev. Lett. 129, 201801 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR58\" id=\"ref-link-section-d56478613e8270\" rel=\"nofollow noopener\" target=\"_blank\">58<\/a>, considering both \u03bde disappearance and appearance. In b, the purple shaded area is the 2\u03c3 allowed region of the gallium anomaly<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 59\" title=\"Barinov, V. V. et al. Results from the Baksan Experiment on Sterile Transitions (BEST). Phys. Rev. Lett. 128, 232501 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR59\" id=\"ref-link-section-d56478613e8284\" rel=\"nofollow noopener\" target=\"_blank\">59<\/a>. The dark blue shaded area is the 2\u03c3 allowed region from the Neutrino-4 experiment<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 9\" title=\"Serebrov, A. P. et al. Search for sterile neutrinos with the Neutrino-4 experiment and measurement results. Phys. Rev. D 104, 032003 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR9\" id=\"ref-link-section-d56478613e8292\" rel=\"nofollow noopener\" target=\"_blank\">9<\/a>. For context, note that the stronger-than-expected constraint on \\({\\sin }^{2}(2{\\theta }_{{\\rm{\\mu e}}})\\), driven by the deficit observed in the BNB \u03bde CC FC sample and the excess in the NuMI \u03bd\u03bc CC sample, is discussed in detail in the <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"section anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Sec2\" rel=\"nofollow noopener\" target=\"_blank\">Methods<\/a> and Extended Data Fig. <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#Fig5\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>.<\/p>\n<p>In summary, using data from the MicroBooNE detector, we report one of the first searches for a sterile neutrino using two accelerator neutrino beams. The oscillation fit to the 4\u03bd model using a total of 14 CC \u03bde, CC \u03bd\u03bc and NC \u03c00 samples from the BNB and the NuMI beam in a single detector achieves a marked reduction of systematic uncertainties and a powerful mitigation of degeneracies between \u03bde appearance and disappearance. The result shows no evidence of oscillations induced by a single sterile neutrino and is consistent with the 3\u03bd hypothesis with a P-value of 0.96. We comprehensively exclude at a 95% CL the 4\u03bd parameter space that would explain the LSND and MiniBooNE anomalies through the existence of a light sterile neutrino in a model with an extended 4\u2009\u00d7\u20094 PMNS matrix. Our result expands the diverse range of experimental approaches, excluding regions that would explain the gallium anomaly and the Neutrino-4 observation with a light sterile neutrino. This work, therefore, provides a robust exclusion of a single light sterile neutrino as an explanation for the array of short-baseline neutrino anomalies observed over the past three decades, representing the strongest constraint from a short-baseline experiment using accelerator-produced neutrinos. Expanded models, including several light sterile neutrinos<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 52\" title=\"Fong, C. S., Minakata, H. &amp; Nunokawa, H. Non-unitary evolution of neutrinos in matter and the leptonic unitarity test. J. High Energy Phys. 2, 015 (2019).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR52\" id=\"ref-link-section-d56478613e8401\" rel=\"nofollow noopener\" target=\"_blank\">52<\/a>, neutrino decay effects<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 53\" title=\"de Gouv&#xEA;a, A., Peres, O. L. G., Prakash, S. &amp; Stenico, G. V. On the decaying-sterile neutrino solution to the electron (anti)neutrino appearance anomalies. J. High Energy Phys. 7, 141 (2020).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR53\" id=\"ref-link-section-d56478613e8406\" rel=\"nofollow noopener\" target=\"_blank\">53<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 54\" title=\"Hostert, M., Kelly, K. J. &amp; Zhou, T. Decaying sterile neutrinos at short baselines. Phys. Rev. D 110, 075002 (2024).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR54\" id=\"ref-link-section-d56478613e8409\" rel=\"nofollow noopener\" target=\"_blank\">54<\/a> or production and decay of new particles connected with the dark sector<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 55\" title=\"Chang, C.-H. V., Chen, C.-R., Ho, S.-Y. &amp; Tseng, S.-Y. Explaining the MiniBooNE anomalous excess via a leptophilic ALP-sterile neutrino coupling. Phys. Rev. D 104, 015030 (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR55\" id=\"ref-link-section-d56478613e8413\" rel=\"nofollow noopener\" target=\"_blank\">55<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 56\" title=\"Dutta, B., Kim, D., Thompson, A., Thornton, R. T. &amp; Van de Water, R. G. Solutions to the MiniBooNE anomaly from new physics in charged meson decays. Phys. Rev. Lett. 129, 111803 (2022).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR56\" id=\"ref-link-section-d56478613e8416\" rel=\"nofollow noopener\" target=\"_blank\">56<\/a> might explain the anomalies. The Short Baseline Neutrino (SBN) Programme<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 57\" title=\"Machado, P. A. N., Palamara, O. &amp; Schmitz, D. W. The short-baseline neutrino program at Fermilab. Ann. Rev. Nucl. Part. Sci. 69, 363&#x2013;387 (2019).\" href=\"http:\/\/www.nature.com\/articles\/s41586-025-09757-7#ref-CR57\" id=\"ref-link-section-d56478613e8420\" rel=\"nofollow noopener\" target=\"_blank\">57<\/a> at Fermilab adds two new LArTPC detectors in the BNB, at different distances from the proton target. Future measurements by MicroBooNE and the broader SBN Programme can shed light on this expanded model space, with future comprehensive insights provided by near-term short-baseline measurements from diverse flavour channels and energy regimes.<\/p>\n","protected":false},"excerpt":{"rendered":"A broad experimental programme has shown that the three quantum-mechanical eigenstates of neutrino flavour, \u03bde, \u03bd\u03bc and \u03bd\u03c4,&hellip;\n","protected":false},"author":2,"featured_media":328611,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[49],"tags":[37795,1159,1160,199,79,133176],"class_list":{"0":"post-328610","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-physics","8":"tag-experimental-particle-physics","9":"tag-humanities-and-social-sciences","10":"tag-multidisciplinary","11":"tag-physics","12":"tag-science","13":"tag-theoretical-particle-physics"},"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/328610","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/comments?post=328610"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/328610\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media\/328611"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media?parent=328610"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/categories?post=328610"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/tags?post=328610"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}