A comprehensive study of vector leptoquark with $U(1)_{B_3-L_2}$ on the $B$-meson and Muon g-2 anomalies

TL;DR

This paper investigates a vector leptoquark model with an extra $U(1)_{B_3-L_2}$ gauge symmetry to simultaneously explain anomalies in B-meson decays and muon g-2 measurements, providing a unified new physics framework.

Contribution

It introduces a minimal vector leptoquark model with an additional $U(1)_{B_3-L_2}$ gauge boson that can address multiple flavor anomalies concurrently.

Findings

The hybrid model explains $R_{K^{(*)}}$, $R_{D^{(*)}}$, and muon g-2 anomalies.

The model predicts correlated effects in lepton flavor violating tau decays.

The proposed scenario offers a consistent explanation for all considered anomalies.

Abstract

Recently reported anomalies in various $B$ meson decays and also in the anomalous magnetic moment of muon $(g-2)_\mu$ motivate us to consider a particular extension of the standard model incorporating new interactions in lepton and quark sectors simultaneously. Our minimal choice would be leptoquark. In particular, we take vector leptoquark ($U_1$) and comprehensively study all related observables including ${(g-2)_{\mu}},\ R_{K^{(*)}},\ R_{D^{(*)}}$, $B \to (K) \ell \ell' $ where $\ell\ell'$ are various combinations of $\mu$ and $\tau$, and also lepton flavor violation in the $\tau$ decays. We find that a hybrid scenario with additional $U(1)_{B_3-L_2}$ gauge boson provides a common explanation of all these anomalies.