A flavor-safe composite explanation of $R_K$

In these proceedings we discuss a flavor-safe explanation of the anomaly found in $R_K=\mathcal{B}(B\to K{\mu }^{+}{\mu }^{-})\mathrm{/}\mathcal{B}(B\to K{e}^{+}{e}^{-})$ by LHCb, within the framework of composite Higgs models. We present a model featuring a non-negligible degree of compositeness for all three generations of right-handed leptons, which leads to a violation of lepton-flavor universality in neutral current interactions while other constraints from quark- and lepton-flavor physics are met. Moreoever, the particular embedding of the lepton sector considered in this setup provides a parametrically enhanded contribution to the Higgs mass that can weak considerably the need for ultra-light top partners.