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

TL;DR

This paper develops a unified quark-lepton flavor model using leptoquarks and modular $A_4$ symmetry, predicting mass and mixing patterns with a single modulus and analyzing constraints from leptoquark interactions.

Contribution

It introduces a novel model linking quark and lepton sectors through modular symmetry and leptoquarks, with unified parameter predictions.

Findings

Predictions for lepton and quark masses and mixings.

Constraints on leptoquark interactions.

Unified modulus $ au$ explains neutrino mass at one-loop level.

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.