A Simplified Twin Pati-Salam Theory of Flavour with a TeV Scale Vector Leptoquark

TL;DR

This paper presents a simplified twin Pati-Salam model that introduces a TeV scale vector leptoquark to explain lepton universality anomalies in B decays, linking flavor physics and mass hierarchies.

Contribution

It proposes a streamlined twin Pati-Salam theory that naturally incorporates a TeV scale leptoquark addressing flavor anomalies and quark-lepton mass hierarchies.

Findings

Predicts a TeV scale vector leptoquark $U^{}_1$

Addresses lepton universality anomalies $R_{K^{(*)}}$ and $R_{D^{(*)}}$

Provides a unified framework linking flavor anomalies and mass hierarchies

Abstract

In this talk, we discuss a simplified version of a recently proposed twin Pati-Salam (PS) theory of flavour broken to the $G_{4321}$ gauge group at high energies, then to the Standard Model at low energies, yielding a TeV scale vector leptoquark $U^{\mu}_1(3,1,2/3)$ which may be used to address the lepton universality anomalies $R_{K^{(*)}}$ and $R_{D^{(*)}}$ in $B$ decays. The model also accounts for quark and lepton mass hierarchies, providing a link between the flavour anomalies and a theory of flavour.