A comprehensive study of vector leptoquark with $U(1{)}_{B_3-L_2}$ on the $B$-meson and Muon g-2 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 $(g-2{)}_{\mu },R_{K^{(\ast )}},R_{D^{(\ast )}}$, $B\to (K)\ell {\ell }^{\prime }$ where $\ell {\ell }^{\prime }$ 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.

Comments: 16 pages, 3 figures