Muon (g − 2) and flavor puzzles in the U(1) X -gauged leptoquark model

Abstract

Abstract We present an economical model where an S 1 leptoquark and an anomaly-free U(1) X gauge symmetry with X = B 3 − 2L μ /3 − L τ /3 are introduced, to account for the muon anomalous magnetic moment a μ ≡ (g μ − 2) and flavor puzzles including R K ∗ $$ {R}_{K^{\left(\ast \right)}} $$ and R D ∗ $$ {R}_{D^{\left(\ast \right)}} $$ anomalies together with quark and lepton flavor mixing. The Z′ gauge boson associated with the U(1) X symmetry is responsible for the R K ∗ $$ {R}_{K^{\left(\ast \right)}} $$ anomaly. Meanwhile, the specific flavor mixing patterns of quarks and leptons can be generated after the spontaneous breakdown of the U(1) X gauge symmetry via the Froggatt-Nielsen mechanism. The S 1 leptoquark which is also charged under the U(1) X gauge symmetry can simultaneously explain the latest muon (g − 2) result and the R D ∗ $$ {R}_{D^{\left(\ast \right)}} $$ anomaly. In addition, we also discuss several other experimental constraints on our model.

Keywords

• Heavy Quark Physics
• Neutrino Physics
• Beyond Standard Model