English

Explicit rephasing transformation of four-generation mixing matrix and formulae for CP phases

High Energy Physics - Phenomenology 2025-12-25 v1

Abstract

In this letter, we present an explicit rephasing transformation that maps a general 4×44\times4 flavor mixing matrix to the standard parametrization of four-generation models. By combining rephasing-covariant minors and the determinant systematically, we derive expressions for all three Dirac-type CP phases, three Majorana phases, and four unphysical phases by arguments of matrix elements. The resulting formulae smoothly reduce to the three-generation results in the limit where the fourth generation decouples.

Keywords

Cite

@article{arxiv.2512.20889,
  title  = {Explicit rephasing transformation of four-generation mixing matrix and formulae for CP phases},
  author = {Masaki J. S. Yang},
  journal= {arXiv preprint arXiv:2512.20889},
  year   = {2025}
}

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5 pages