Flavour hierarchies and $B$-anomalies in a twin Pati-Salam theory of flavour

TL;DR

This paper proposes a twin Pati-Salam model that links Standard Model flavour hierarchies with B-physics anomalies, using a common origin of Yukawa couplings and vector leptoquarks, and predicts testable low-energy signals.

Contribution

It introduces a novel twin Pati-Salam framework connecting flavour hierarchies and B-anomalies with a GIM-like mechanism for large leptoquark couplings.

Findings

Explains B-physics anomalies with large leptoquark couplings.

Protects against FCNCs via a GIM-like mechanism.

Predicts signals testable in future low-energy experiments.

Abstract

In this manuscript, based on arXiv:2209.00276, I present a model which can simultaneously explain and connect the flavour hierarchies of the Standard Model with flavour anomalies in $B$-physics. I will briefly introduce the model and highlight the main features, including a common origin of Yukawa couplings and vector leptoquark $U_{1}$ couplings to Standard Model fermions. A GIM-like mechanism allows for large leptoquark couplings which can explain the $B$-anomalies, while protecting from the most dangerous FCNCs that could be mediated by a heavy coloron and $Z'$. Finally, I will highlight some of the most promising signals at low energy processes which can test the model in the upcoming future. The analysis has been updated with the late 2022 measurements of $R_{K^{(*)}}$ by LHCb.