Almost general analysis of CKM and MNS matrices for hierarchical Yukawa structure and interpretation of Dirac CP phase probed by DUNE and T2HK
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909416532475904 |
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| author | Yang, Masaki J. S. |
| author_facet | Yang, Masaki J. S. |
| contents | 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 $δ_{d, ν}$ 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 $s_{u, e}$ of more hierarchical fermions. For sufficiently small 1-2 mixing $s_{e}$ of charged leptons, the Dirac phase $δ$ is mostly identical to the intrinsic phase of neutrinos $δ_ν$. Therefore, future detection of the Dirac phase indicates the observation of $δ_ν$. On the other hand, if such a CP violation is not observed, an upper limit is placed on a combination of $δ_ν$ and relative phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08686 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost general analysis of CKM and MNS matrices for hierarchical Yukawa structure and interpretation of Dirac CP phase probed by DUNE and T2HK Yang, Masaki J. S. High Energy Physics - Phenomenology 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 $δ_{d, ν}$ 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 $s_{u, e}$ of more hierarchical fermions. For sufficiently small 1-2 mixing $s_{e}$ of charged leptons, the Dirac phase $δ$ is mostly identical to the intrinsic phase of neutrinos $δ_ν$. Therefore, future detection of the Dirac phase indicates the observation of $δ_ν$. On the other hand, if such a CP violation is not observed, an upper limit is placed on a combination of $δ_ν$ and relative phases. |
| title | Almost general analysis of CKM and MNS matrices for hierarchical Yukawa structure and interpretation of Dirac CP phase probed by DUNE and T2HK |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.08686 |