On a model with two scalar leptoquarks -- $R_2$ and $S_3$

TL;DR

This paper updates and analyzes a model with two scalar leptoquarks, $R_2$ and $S_3$, that can explain B-physics anomalies, remains consistent with constraints, and predicts testable effects in electric dipole moments and rare B decays.

Contribution

It provides an updated parameter space analysis of a two scalar leptoquark model addressing B-physics anomalies, including new predictions for observable effects.

Findings

Model remains viable with current constraints.

Predicts enhanced $B\to K^{(*)}\nu\nu$ decay rates.

Bounds on $B\to K^{(*)}\mu\tau$ decays.

Abstract

We discuss a model that can accommodate the $B$-physics anomalies, based on combining two scalar leptoquarks, $R_2$ and $S_3$, of mass $\mathcal{O}(1\,\mathrm{TeV})$, and that we proposed in our previous paper. We update the analysis of its parameter space and show that a model remains viable and consistent with a number of low energy and high energy flavor physics constraints. Since the model predicts a non-zero New Physics phase, we discuss the possibility to test its contribution to the neutron electric dipole moment and to the angular distributions of the exclusive $b\to c\tau \bar \nu$ decays. We find that the model can provide a significant enhancement to $\mathcal{B}(B\to K^{(\ast)}\nu\nu)$ and provides both the upper and lower bounds to $\mathcal{B}(B\to K^{(\ast)}\mu\tau)$.