Combined explanations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo mathvariant="bold" stretchy="false">(</mml:mo><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mo mathvariant="bold" stretchy="false">)</mml:mo><mml:mi>μ</mml:mi></mml:msub></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>R</mml:mi><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo mathvariant="bold" stretchy="false">(</mml:mo><mml:mo>*</mml:mo><mml:mo mathvariant="bold" stretchy="false">)</mml:mo></mml:mrow></mml:msup></mml:msub></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>R</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo mathvariant="bold" stretchy="false">(</mml:mo><mml:mo>*</mml:mo><mml:mo mathvariant="bold" stretchy="false">)</mml:mo></mml:mrow></mml:msup></mml:msub></mml:math> anomalies in a two-loop radiative neutrino mass model
Shaikh Saad
Abstract
Motivated by the long-standing tension in the muon anomalous magnetic moment (AMM) and persistent observations of B-physics anomalies in ${R}_{{D}^{(*)}}$ and ${R}_{{K}^{(*)}}$ 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 ${S}_{1}\ensuremath{\sim}(\overline{3},1,1/3)$ and a $SU(2{)}_{L}$ triplet ${S}_{3}\ensuremath{\sim}(\overline{3},3,1/3)$ to accommodate ${R}_{{D}^{(*)}}$ and ${R}_{{K}^{(*)}}$ anomalies, respectively. The muon receives chirality-enhanced contribution toward its $g\ensuremath{-}2$ 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 $\ensuremath{\omega}\ensuremath{\sim}(\overline{6},1,2/3)$, 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.