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

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 $U_1^{\mu }(3,1,2/3)$ which may be used to address the lepton universality anomalies $R_{K^{(\ast )}}$ and $R_{D^{(\ast )}}$ 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.

Comments: 10 pages, 6 figures. Talk presented at the Corfu Summer Institute 2021 School and Workshops on Elementary Particle Physics and Gravity 29 August - 9 October 2021, Corfu, Greece