# Finite modular subgroups for fermion mass matrices and baryon/lepton number violation

## TL;DR

This paper proposes a flavor model with $S_3$ and $A_4$ modular symmetries for quarks and leptons, respectively, successfully matching experimental data and analyzing baryon/lepton number violations.

## Contribution

It introduces a novel flavor model combining $S_3$ and $A_4$ modular symmetries that aligns with observed fermion masses, mixings, and CP violation.

## Key findings

- Quark mass matrices consistent with experimental data
- Lepton sector matches neutrino oscillation data
- Analysis of baryon and lepton number violations

## Abstract

We study a flavor model that the quark sector has the $S_3$ modular symmetry,while the lepton sector has the $A_4$ modular symmetry. Our model leads to characteristic quark mass matrices which are consistent with experimental data of quark masses, mixing angles and the CP violating phase. The lepton sector is also consistent with the experimental data of neutrino oscillations. We also study baryon and lepton number violations in our flavor model.