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.
Lepton Mixing Parameters from Discrete and CP Symme- tries
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abstract
We consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group G_f is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup. We show that in general lepton mixing angles and CP phases (Dirac as well as Majorana) only depend on one single parameter theta which can take values between 0 and pi, if the residual symmetries are G_e contained in G_f in the charged lepton and G_nu=Z_2 x CP in the neutrino sector. We perform a comprehensive study for G_f=S_4 and find five cases which are phenomenologically interesting. They naturally lead to a non-zero reactor mixing angle and all mixing parameters are strongly correlated. Some of the patterns predict maximal atmospheric mixing and maximal Dirac phase, while others predict trivial Dirac and Majorana phases.
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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.
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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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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.