Flavored non-minimal left\u2013right symmetric model fermion masses and mixings

E A Garcés,F Gonzalez-Canales,Juan Carlos Gómez-Izquierdo

doi:10.1140/epjc/s10052-018-6271-5

Abstract

A complete study on the fermion masses and flavor mixing is presented in a non-minimal left–right symmetric model (NMLRMS) where the mathbf{S}_{3}otimes mathbf{Z}_{2}otimes mathbf{Z}^{e}_{2} flavor symmetry drives the Yukawa couplings. In the quark sector, the mass matrices possess a kind of generalized Fritzsch textures that allow us to fit the CKM mixing matrix in good agreement to the latest experimental data. In the lepton sector, on the other hand, a soft breaking of the mu leftrightarrow tau symmetry provides nonzero and nonmaximal reactor and atmospheric angles, respectively. The inverted and degenerate hierarchies are favored in the model where a set of free parameters is found to be consistent with the current neutrino data.

Highlights

In particle physics, flavor symmetries [1–4] have played an important role in the understanding of the quark and lepton flavor mixings through the CKM [5,6] and PMNS [7–9] mixing matrices, respectively
Even though the quark and lepton sectors seem to obey different physics, we proposed a framework [58] to simultaneously accommodate both sectors under the S3 ⊗ Z2 ⊗ Ze2 discrete symmetry within the left–right theory
On the other hand, the mixing angles can be understood by a soft breaking of the μ ↔ τ symmetry in the effective neutrino mass matrix that comes from the type I see-saw mechanism

Summary

Introduction

Flavor symmetries [1–4] have played an important role in the understanding of the quark and lepton flavor mixings through the CKM [5,6] and PMNS [7–9] mixing matrices, respectively. There is not yet solid evidence on the Dirac CPviolating phase From these data it is found (for inverted ordering) that the magnitude of the leptonic mixing matrix elements have the following values at 3σ [18]:. On the other hand, the mixing angles can be understood by a soft breaking of the μ ↔ τ symmetry in the effective neutrino mass matrix that comes from the type I see-saw mechanism. 3 and 4, respectively, besides of a χ 2 analysis is presented to fit the free parameters in the relevant mixing matrices for the quark and lepton sectors separately.

Fermion masses

Quark sector

Du 3 Dd 3

Lepton sector

Conclusions