Combined explanations of $(g-2{)}_{\mu }$, $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ anomalies in a two-loop radiative neutrino mass model

Abstract

Motivated by the long-standing tension in the muon anomalous magnetic moment (AMM) and persistent observations of B-physics anomalies in $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$ 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 $S_1\sim (\overline{3},1,1/3)$ and a $SU(2{)}_L$ triplet $S_3\sim (\overline{3},3,1/3)$ to accommodate $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$ anomalies, respectively. The muon receives chirality-enhanced contribution towards 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 $\omega \sim (\overline{6},1,2/3)$, which is necessary to break lepton number and generate neutrino mass radiatively with the aid of $S_1$ and $S_3$ 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.

41 pages, 7 figures. Accepted in Physical Review D

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