Reconciling B-meson Anomalies, Neutrino Masses and Dark Matter

Abstract

We explore the connection of the leptoquark solution to the recently reported B-meson anomalies with a mechanism of neutrino mass generation and a viable dark matter candidate. We consider a model consisting of two scalar leptoquarks and three generations of triplet fermions: neutrino masses are radiatively generated at the 3-loop level and, by imposing a discrete \(Z_2\) symmetry, one can obtain a viable dark matter candidate. We discuss the constraints on the flavour structure of this model arising from numerous flavour observables. The rare decay \(K\rightarrow \pi ^+\nu \bar{\nu }\) and charged lepton flavour violating \(\mu -e\) conversion in nuclei are found to provide the most stringent constraint on this class of models.