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

Abstract

We study a flavor model that the quark sector has the S3 modular symmetry while the lepton sector has the A4 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.