Excesses of muon g − 2, [formula omitted], and [formula omitted] in a leptoquark model

Abstract

In this study, we investigate muon g−2, RK(⁎), and RD(⁎) anomalies in a specific model with one doublet, one triplet, and one singlet scalar leptoquark (LQ). When the strict limits from the ℓ′→ℓγ, ΔB=2, Bs→μ+μ−, and B+→K+νν¯ processes are considered, it is difficult to use one scalar LQ to explain all of the anomalies due to the strong correlations among the constraints and observables. After ignoring the constraints and small couplings, the muon g−2 can be explained by the doublet LQ alone due to the mt enhancement, whereas the measured and unexpected smaller RK(⁎) requires the combined effects of the doublet and triplet LQs, and the RD and RD⁎ excesses depend on the singlet LQ through scalar- and tensor-type interactions.