Model with two scalar leptoquarks: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
Damir Bečirević, Ilja Doršner, Svjetlana Fajfer, Darius A. Faroughy, Florentin Jaffredo, Nejc Košnik, Olcyr Sumensari
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 $\mathcal{O}(1\text{ }\text{ }\mathrm{TeV})$, 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 nonzero 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 $b\ensuremath{\rightarrow}c\ensuremath{\tau}\overline{\ensuremath{\nu}}$ decays. We find that the model can provide a significant enhancement to $\mathcal{B}(B\ensuremath{\rightarrow}{K}^{(*)}\ensuremath{\nu}\ensuremath{\nu})$ and provides both the upper and lower bounds to $\mathcal{B}(B\ensuremath{\rightarrow}{K}^{(*)}\ensuremath{\mu}\ensuremath{\tau})$.