The CKM CP phase is expressed as a fourth-order rephasing invariant constructed from the down-quark mass matrix and its inverse via perturbative singular value decomposition.
A new relation between quark and lepton mixing matrices
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
We propose a new relation between quark mixing matrix and lepton mixing matrix. Since the parameters in the quark sector are well determined, we employ them to describe the mixing of leptons. Phenomenologically, we study the neutrino oscillation probabilities for different channels, which can be measured precisely in forthcoming reactor and accelerator experiments. As an example of the applicability of our assumption, CP violation in the lepton sector is also discussed. In the latest T2K experiment, the range of the mixing angle $\theta_{13}$ is measured, and our prediction of $\theta_{13}$ is compatible with their result.
fields
hep-ph 2years
2026 2representative citing papers
Under the approximations U13^e = 0 and U23^e = 0, the Fritzsch-Xing CP phase equals the sum of the neutrino-intrinsic phase and the relative phase between the first two generations.
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Perturbative determination of CP phase in CKM matrix using rephasing invariants of hierarchical mass matrices and their inverses
The CKM CP phase is expressed as a fourth-order rephasing invariant constructed from the down-quark mass matrix and its inverse via perturbative singular value decomposition.
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Rephasing invariant structure of CP phase for simplified mixing matrices in Fritzsch--Xing parametrization
Under the approximations U13^e = 0 and U23^e = 0, the Fritzsch-Xing CP phase equals the sum of the neutrino-intrinsic phase and the relative phase between the first two generations.