Connecting $b \to s \ell\ell$ anomalies to neutrino masses, dark matter and charged lepton flavour violation

Motivated by the $b$ → $s$$\ell\ell$ anomalies, we discuss a Standard Model extension reinforced by a $Z$$_{2}$ symmetry, which can naturally accommodate radiatively generated neutrino masses and a potentially viable dark matter candidate, in addition to addressing the anomalies. We discuss the main findings of our comprehensive phenomenological analysis of very generic textures for the flavour structure of the leptoquark Yukawa couplings, identifying classes of textures which succeed in saturating the $R$$_{K}$$_{(*)}$ anomalies. Our findings suggest that the leptoquark contributions to numerous high-intensity observables, in particular, the charged lepton flavour violating processes, put severe constraints on the flavour structure of these extensions. We identify $K$$^{+}$ → $\pi$$^{+}$$ν$$\bar{v}$ decays, and charged lepton flavour violating $\mu$ − $e$ conversion in nuclei, as two of the most promising observables to probe these extensions.