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arXiv · 2606.00980

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing

Masaki J. S. Yang
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Abstract

We show that the CP phases $ϕ_{1,2}$ appearing in the TM$_{1,2}$ mixing are directly identified with rephasing invariants $ϕ_{1} = - \arg \left[ { U_{e2} U_{e3} U_{μ1} U_{τ1} / U_{e 1} \det U } \right]$, $ϕ_{2} = - \arg \left[ { U_{e1} U_{e3} U_{μ2} U_{τ2} / U_{e 2} \det U} \right]$. Furthermore, we demonstrate identities $ϕ_{i} = δ- \arg [ U_{μi}^{0} U_{τi}^{0} ]$ among $ϕ_{1,2}$, the Dirac CP phase $δ$ and matrix elements in the PDG parametrization $U^{0}_{αi}$. These relations of CP phases are interpreted as specific elements of general sum rules represented by phase matrices.

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Masaki J. S. Yang. 2026-08-03. Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing. https://arxiv.org/abs/2606.00980

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