One Leptoquark to unify them? Neutrino masses and unification in the light of $(g-2)_\mu$, $R_{D^{(\star)}}$ and $R_K$ anomalies

摘要

Leptoquarks have been proposed as a possible explanation of anomalies in$\bar{B}\mapsto D^{*} \tau \bar{\nu } $ decays, the apparent anomalies in$(g-2)_\mu$ experiments and a violation of lepton universality. Motivated bythis, we examine other motivations of leptoquarks: radiatively induced neutrinomasses in the presence of a discrete symmetry that prevents a tree levelsee-saw mechanism, gauge coupling unification, and vacuum stability at least upto the unification scale. We present a new model for radiatively generating aneutrino mass which can significantly improve gauge coupling unification at oneloop. We discuss this, and other models in the light of recent work on flavouranomalies.