Combined explanations of ( g−2 )μ, RD(), RK() anomalies in a two-loop radiative neutrino mass model

Motivated by the long-standing tension in the muon anomalous magnetic moment (AMM) and persistent observations of B-physics anomalies in RD(*) and RK(*) ratios, we construct a simple two-loop radiative neutrino mass model, and propose a combined explanations of all these apparently disjoint phenomena within this framework. Our proposed model consists of two scalar leptoquarks (LQs), a SU(2)L singlet S 1 ∼ ( 3 , 1 , 1 / 3 ) and a SU(2)L triplet S3 ∼ (3 , 3 , 1 / 3 ) to accommodate RD(*) and RK(*) anomalies, respectively. The muon receives chirality-enhanced contribution toward its g − 2 due to the presence of S 1 LQ that accounts for the observed deviation from the Standard Model prediction. Furthermore, we introduce a SU(2)L singlet scalar diquark ω ∼ ( 6 , 1 , 2 / 3 ) , which is necessary to break lepton number and generate neutrino mass radiatively with the aid of S1 and S3 LQs. We perform a detailed phenomenological analysis of this set-up and demonstrate its viability by providing benchmark points where a fit to the neutrino oscillation data together with proper explanations of the muon AMM puzzle and flavor anomalies are accomplished while simultaneously meeting all other flavor violation and collider bounds.