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.
CP and Discrete Flavour Symmetries
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We give a consistent definition of generalised CP transformations in the context of discrete flavour symmetries. Non-trivial consistency conditions imply that every generalised CP transformation can be interpreted as a representation of an automorphism of the discrete group. This allows us to give consistent generalised CP transformations of popular flavour groups. We are able to clear up issues concerning recent claims about geometrical CP violation in models based on T', clarify the origin of 'calculable phases' in Delta(27) and explain why apparently CP violating scalar potentials of A4 result in a CP conserving ground state.
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A modular A4 flavor model with universal couplings reproduces charged lepton masses via the modulus tau and predicts correlated neutrino observables for normal mass ordering and right-handed weight k_N = -1.
Dynamical generation of leptonic CP violation and light sterile neutrino masses via radiative breaking of non-invertible selection rules, illustrated in the Inverse Seesaw model.
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
citing papers explorer
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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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Lepton masses and mixing in non-holomorphic modular $A_4$ with universal couplings
A modular A4 flavor model with universal couplings reproduces charged lepton masses via the modulus tau and predicts correlated neutrino observables for normal mass ordering and right-handed weight k_N = -1.
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Dynamical CP Violation from Non-Invertible Selection Rules
Dynamical generation of leptonic CP violation and light sterile neutrino masses via radiative breaking of non-invertible selection rules, illustrated in the Inverse Seesaw model.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.