A comprehensive study of the vector leptoquark with U(1)B3-L2 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)μ motivate us to consider a particular extension of the standard model incorporating new interactions in the lepton and quark sectors simultaneously. Our minimal choice would be the leptoquark. In particular, we take the vector leptoquark (U1) and comprehensively study all related observables including ${(g-2)_{\mu }},\ R_{K^{(*)}},\ R_{D^{(*)}}$, B → (K)ℓℓ′, where ℓℓ′ are various combinations of μ and τ, and also lepton flavor violation in the τ decays. We find that a hybrid scenario with an additional $U(1)_{B_3-L_2}$ gauge boson provides a common explanation for all these anomalies.