Unitarity Tests of the Neutrino Mixing Matrix
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We discuss unitarity tests of the neutrino mixing (PMNS) matrix. We show that the combination of solar neutrino experiments, medium-baseline and short-baseline reactor antineutrino experiments make it possible to perform the first direct unitarity test of the PMNS matrix. In particular, the measurements of Daya Bay and JUNO (a next generation medium-baseline reactor experiment) will lay the foundation of a precise unitarity test of $|U_{e1}|^2 + |U_{e2}|^2 + |U_{e3}|^2 = 1 $. Furthermore, the precision measurement of $\sin^22\theta_{13}$ in both the $\bar{\nu}_e$ disappearance and the $\nu_e$ appearance (from a $\nu_{\mu}$ beam) channels will provide an indirect unitarity test of the PMNS matrix. Together with the search for appearance/disappearance at very short distances, these tests could provide important information about the possible new physics beyond the three-neutrino model.
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Impact of matter effects on the unitarity test of lepton mixing
The authors examine extraction of lepton mixing matrix elements from spectral data in neutrino oscillation experiments including matter effects and test unitarity via a vanishing quantity in a four-generation model.
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