Standard versus Non-Standard CP Phases in Neutrino Oscillation in Matter with Non-Unitarity
作者： Ivan Martinez-Soler , Hisakazu Minakata
DOI: 10.1093/PTEP/PTAA062
关键词: Particle physics 、 Unitarity 、 Physics 、 Bar (unit) 、 Beta (velocity) 、 Neutrino oscillation 、 Matrix (mathematics) 、 Neutrino 、 Observable 、 Mixing (physics)
摘要: We formulate a perturbative framework for the flavor transformation of standard three active neutrinos but with non-unitary mixing matrix, system which may be relevant leptonic unitarity test. use $\alpha$ parametrization matrix and take its elements $\alpha_{\beta \gamma}$ ($\beta,\gamma = e,\mu,\tau$) ratio $\epsilon \simeq \Delta m^2_{21} / m^2_{31}$ as small expansion parameters. Qualitatively new two features that hold in all oscillation channels are uncovered probability formula obtained to first order expansion: (1) The phases complex always come into observable particular combination $\nu$SM CP phase $\delta$ form $[e^{- i \delta } \bar{\alpha}_{\mu e}, ~e^{ - \delta} \bar{\alpha}_{\tau ~\bar{\alpha}_{\tau \mu}]$ under PDG convention unitary matrix. (2) diagonal parameters appear combinations $\left( a/b 1 \right) \alpha_{ee} + \alpha_{\mu \mu}$ $\alpha_{\mu \mu} \alpha_{\tau \tau}$, where $a$ $b$ denote, respectively, matter potential due CC NC reactions. This property holds only evolution part probability, there is no such feature genuine part, while parameter correlation exists both. reason remarkable stability discussed.
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