$SU(4)_C \times SU(2)_L \times U(1)_R$ models with modular $A_4$ symmetry

TL;DR

This paper explores $SU(4)_C imes SU(2)_L imes U(1)_R$ models with modular $A_4$ symmetry, aiming to unify quark and lepton flavor structures and fit experimental data through numerical analysis.

Contribution

It introduces models with different modular weight assignments and demonstrates their compatibility with experimental results via $ ext{chi}^2$ analysis and benchmark points.

Findings

Models can successfully fit quark and lepton data

Different modular weight assignments lead to viable flavor structures

Benchmark points illustrate model implications

Abstract

We study $SU(4)_C \times SU(2)_L \times U(1)_R$ models with modular $A_4$ symmetry that provide unified description of the quark and lepton sector including the flavor structures. The models are distinguished by the assignments of the modular weight on matter superfields. We carry out numerical $\chi^2$ analysis and search for parameter sets that accomodate the experimental results. We provide a benchmark point for each model to illustrate implications of our models.