Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry

Abstract

We propose a quark-lepton model via leptoquarks and modular $A_4$ symmetry. Since the neutrino mass is induced at one-loop level mediated by down quarks as well as leptoquarks, we have to explain lepton and quark masses and mixings with a single modulus $\tau$. Here, we find predictions for lepton and quark sectors with unified modulus $\tau$, and show several constraints originating from leptoquarks.

Comments: 23 pages, 8 figures, 4 tables