ニュートリノ質量行列とCPの破れに関する一般的な考察

概要

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In models with the leptonic CP violation embedded in a complex symmetric neutrino mass matrix M_ν in the (ν_e, ν_μ, ν_τ)-basis, we have found that the atmospheric neutrino mixing angle of θ_<atm> is determined to be tan θ_<atm>=Im(B)/Im(C) for B=M_<ν_eν_μ> and C=M_<ν_eν_τ>, where M_<ij> is the ij element of M^†_νM_ν. It is also found that another mixing angle, θ_<13>, contained as U_<e3>=sinθ_<13>e^<-iδ> with the CP violating Dirac phase of δ is determined as tan 2θ_<13> α |sin θ_<atm> B+cos θ_<atm> C|, where the phase of sin θ_<atm> B^*+cos θ_<atm> C^* is identical to δ. The smallest value of |sin θ_<13>| is achieved at tan θ_<atm>=-Re(C)/Re(B) that yields the maximal CP-violation and that implies C=-κB^* in the case of the maximal atmospheric neutrino mixing of tan θ_<atm>=κ=±1. The generic smallness of |sin θ_<13>| can be ascribed to the tiny violation of the electron number conservation.
東海大学の論文
2005-03-30