Addressing the LHC flavor anomalies with horizontal gauge symmetries

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Abstract

We study the impact of an additional $U(1{)}^{\ensuremath{'}}$ gauge symmetry with flavor-dependent charges for quarks and leptons on the LHC flavor anomalies observed in $B\ensuremath{\rightarrow}{K}^{*}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$, $R(K)=B\ensuremath{\rightarrow}K{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}/B\ensuremath{\rightarrow}K{e}^{+}{e}^{\ensuremath{-}}$, and $h\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\tau}$. In its minimal version with two scalar doublets, the resulting model naturally explains the deviations from the Standard Model observed in $B\ensuremath{\rightarrow}{K}^{*}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ and $R(K)$. The CMS access in $h\ensuremath{\rightarrow}\ensuremath{\mu}\ensuremath{\tau}$ can be explained by introducing a third scalar doublet, which gives rise to a prediction for $\ensuremath{\tau}\ensuremath{\rightarrow}3\ensuremath{\mu}$. We investigate constraints from flavor observables and direct LHC searches for $pp\ensuremath{\rightarrow}{Z}^{\ensuremath{'}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$. Our model successfully generates the measured fermion-mixing matrices and does not require vectorlike fermions, unlike previous attempts to explain these anomalies.

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