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 $K\to {\pi }^{+}\nu \bar{\nu }$ and charged lepton flavour violating $\mu -e$ conversion in nuclei are found to provide the most stringent constraint on this class of models.

Comments: 6 pages, 3 figures, contribution to the proceedings of 16th Conference on Flavor Physics and CP Violation, 14-18 Jul, 2018, Hyderabad, INDIA