One Leptoquark to unify them? Neutrino masses and unification in the light of $(g-2)_\mu$, $R_{D^{(\star)}}$ and $R_K$ anomalies

TL;DR

This paper explores a leptoquark model that addresses neutrino masses, gauge unification, and recent flavor anomalies, proposing a unified framework that improves gauge coupling unification and explains observed deviations in lepton universality and muon g-2.

Contribution

It introduces a new radiative neutrino mass model involving leptoquarks that enhances gauge coupling unification and connects flavor anomalies with neutrino mass generation.

Findings

The model successfully explains neutrino masses via radiative mechanisms.

It improves gauge coupling unification at one loop.

It provides a unified explanation for flavor anomalies and neutrino masses.

Abstract

Leptoquarks have been proposed as a possible explanation of anomalies in $\bar{B}\mapsto D^{*} \tau \bar{\nu } $ decays, the apparent anomalies in $(g-2)_\mu$ experiments and a violation of lepton universality. Motivated by this, we examine other motivations of leptoquarks: radiatively induced neutrino masses in the presence of a discrete symmetry that prevents a tree level see-saw mechanism, gauge coupling unification, and vacuum stability at least up to the unification scale. We present a new model for radiatively generating a neutrino mass which can significantly improve gauge coupling unification at one loop. We discuss this, and other models in the light of recent work on flavour anomalies.