About the explanation of $R_D$ through left-handed currents
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Auditorium
Annecy-le-Vieux
The flavour anomalies in $B$ decays, in particular in $R_D$ and $R_K$ (reported in recent years by Belle, BaBar and LHCb and pointing toward lepton flavour non universality) are arguably the most interesting and the most studied anomalies among the present ones. A simultaneous explanation of both $R_D$ and $R_K$ is charming and a copious literature has been produced on this regard. In a recent paper, we identified a shortcoming common to all putative explanations involving left-handed vector currents: one-loop contributions, so far overlooked in the literature, typically generates unacceptably large lepton flavour violating and lepton flavour universality violating effects in tau and $Z$ decays. In my talk, I will review this and other difficulties in explaining $B$ decays anomalies.