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- W3049265280 abstract "The non-unitarity of the neutrino mixing matrix is a problem related with a more fundamental question about the origin of the neutrino mass. After a brief discussion on the questions ``why do we need model-independent framework for unitarity test?'', we show interesting properties present in the oscillation probabilities of neutrinos propagating in matter with non-unitarity. That is, (1) partial unitarity and (2) universal phase correlation. % To illuminate these points, we formulate a perturbative framework with the two expansion parameters $epsilon equiv Delta m^2_{21} / Delta m^2_{31}$ and $alpha$ matrix elements. The complex triangular $alpha$ matrix is introduced through the definition of $3 times 3$ non-unitary flavor mixing matrix $N$ as % begin{eqnarray} N &=& left( bf{1} - alpha right) U = left{ bf{1} - left[ begin{array}{ccc} alpha_{ee} & 0 & 0 alpha_{mu e} & alpha_{mu mu} & 0 alpha_{tau e} & alpha_{tau mu} & alpha_{tau tau} end{array} right] right} U label{alpha-matrix-def} end{eqnarray} % where $U$ is the unitary MNS mixing matrix, and hence $alpha$ characterizes the size and the flavor dependence of unitarity violation (UV)footnote{ %%%%%%%%%%%%% Despite that in the physics literature UV usually means ``ultraviolet'', we use UV in this manuscript as an abbreviation for ``unitarity violation'' or ``unitarity violating''.}~~caused by new physics (NP) at low- or high-scales. ~~~~The point (1) above essentially means that despite non-unitary mixing, neutrino evolution must be unitary because the three active neutrinos span a complete state space of neutral leptons. The {em phase correlation} mentioned in the point (2) refers an intriguing property that the complex $alpha$ parameters and $nu$Standard Model CP phase $delta$ always come into the oscillation probabilities in a correlated way, $e^{- i delta } alpha_{mu e}$, $alpha_{tau e}$, and $e^{i delta} alpha_{tau mu}$, universally in all the oscillation channels. The physical meaning of this result is briefly discussed. }" @default.
- W3049265280 created "2020-08-21" @default.
- W3049265280 creator A5035554693 @default.
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- W3049265280 date "2019-08-24" @default.
- W3049265280 modified "2023-10-16" @default.
- W3049265280 title "Universal correlation between CP phase $delta$ and the non-unitarity $alpha$ parameter phases" @default.
- W3049265280 doi "https://doi.org/10.22323/1.341.0154" @default.
- W3049265280 hasPublicationYear "2019" @default.
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