An Asymmetric TBM Texture

TL;DR

This paper introduces an asymmetric texture in the Seesaw matrix, utilizing a phase in the TBM matrix to match observed mixing angles and mass relations, with implications for CP violation.

Contribution

It presents a novel asymmetric Yukawa matrix structure that, combined with a TBM phase, explains mixing angles and mass relations at the GUT scale.

Findings

CKM and PMNS angles within PDG values

Mass relations satisfied including Gatto relation

Jarlskog invariant at |J|=0.028

Abstract

We construct a texture where the Seesaw matrix is diagonalized by the TriBiMaximal (TBM) matrix with a phase. All CKM and PMNS angles are within their pdg values, and the mass relations of quarks and charged leptons extrapolated to GUT scale are satisfied, including the Gatto relation. The novel ingredient is the asymmetry of the down-quark and charged lepton Yukawa matrices. Explaining the reactor angle requires a $\require{cancel} \cancel {CP}$ phase in the TBM matrix, resulting in the Jarlskog-Greenberg invariant at $|J|=0.028$, albeit with an undetermined sign. While $SO(10)$ restrains the right-handed neutrino Majorana matrix, the neutrino masses are left undetermined.