8 papers
Perturbative determination of quark CP phase and rephasing invariants of hierarchical mass matrices using their inverses
Masaki J. S. Yang
In this paper, we derive approximate expressions for the CP phase in the CKM matrix by a perturbative singular value decomposition for hierarchical mass matrices of quarks $m_{…
Explicit Rephasing Transformation to PDG Parameterization and Simplified Expression of the Dirac CP Phase by Fermion-Specific Invariants
Masaki J. S. Yang
In this letter, we present an explicit rephasing transformation that maps an arbitrary mixing matrix to the PDG standard parameterization $U^{0} = {\rm diag} ( e^{ - i \arg U_{…
Unified description of sum rules and duality between CP phases and unitarity triangles through third-order rephasing invariants
Masaki J. S. Yang
In this letter, we demonstrate that products of third-order rephasing invariants of flavor mixing matrix reproduce all the nine angles of unitar…
Geometric representation of CP phases in flavor mixing matrix and its sum rule by alternative unitarity triangle and quadrangle
Masaki J. S. Yang
In this letter, we present a geometric representation of the CP phases and in the PDG and Kobayashi--Maskawa parameterizations of the flavor mixing matri…
A Rephasing Invariant Formula for the Dirac CP Phase and General Perturbative Expansion: Prospects for DUNE and T2HK
Masaki J. S. Yang
We present a formula for the Dirac CP phase , directly derived from the lepton mixing matrix in an arbitrary basi…
Rephasing invariant formulae for CP phases in general parameterizations of flavor mixing matrix and exact sum rules with unitarity triangles
Masaki J. S. Yang
In this letter, we present rephasing invariant formulae for CP phases associate…
Rephasing Invariant Formula for CP Phase in Kobayashi-Maskawa Parametrization and Exact Sum Rule with Unitarity Triangle
Masaki J. S. Yang
In this letter, we obtain a rephasing invariant formula for the CP phase in the Kobayashi--Maskawa parameterization $δ_{\rm KM} = \arg [ - { V_{ud} \det V_{\rm CKM} / V_{us} V_{ub}…
Direct Evaluation of CP Phase of CKM matrix, General Perturbative Expansion and Relations with Unitarity Triangles
Masaki J. S. Yang
In this letter, using a rephasing invariant formula , we evaluate the CP phase of the CKM matrix $V_{\rm…