vix.ing · top · new · best · stats · spec

Almost general analysis of CKM and MNS matrices for hierarchical Yukawa structure and interpretation of Dirac CP phase probed by DUNE and T2HK

2024/10/11 by Masaki J. S. Yang, Yang, Masaki J. S. · 1 citation
Engineering · Physics and Astronomy · #Electromagnetic Compatibility and Measurements #Microwave and Dielectric Measurement Techniques #Gyrotron and Vacuum Electronics Research

paper · pdf · doi:10.48550/arxiv.2410.08686

Abstract

In this letter, we perform an almost general analysis of flavor-mixing matrices V\rm CKM and U\rm MNS to investigate the discriminative power of CP phases by next-generation neutrino oscillation experiments. As an approximation, we neglect the 1-3 mixing of diagonalization for more hierarchical fermions u,e. Thus there are two sources of CP violation in V\rm CKM and U\rm MNS, the intrinsic CP phase δd, ν in diagonalization of less hierarchical fermions d, ν and relative phases between two unitary matrices. By eliminating unphysical phases and imposing constraints of the three measured mixing angles, the flavor-mixing matrices are analytically displayed by two phases and the 1-2 mixing su, e of more hierarchical fermions. For sufficiently small 1-2 mixing se of charged leptons, the Dirac phase δ is mostly identical to the intrinsic phase of neutrinos δν. Therefore, future detection of the Dirac phase indicates the observation of δν. On the other hand, if such a CP violation is not observed, an upper limit is placed on a combination of δν and relative phases.

Cited by

Related