A minimal $U(1{)}^{\prime }$ extension of MSSM in light of the B decay anomaly

Abstract

Motivated by the $R_K$ and $R_{K^{\ast }}$ anomalies from B decays, we extend the minimal supersymmetric model with a non-universal anomaly-free $U(1{)}^{\prime }$ gauge symmetry, coupling non-universally to the lepton sector as well as the quark sector. In particular, only the third generation quarks are charged under this $U(1{)}^{\prime }$, which can easily evade the dilepton bound from the LHC searches. An extra singlet is introduced to break this $U(1{)}^{\prime }$ symmetry allowing for the $\hat{I}¼$-term to be generated dynamically. The relevant constraints of $B_s-{\bar{B}}_s$ mixing, $D^0-{\bar{D}}^0$ mixing and the LHC dilepton searches are considered. We find that in the allowed parameter space this $U(1{)}^{\prime }$ gauge interaction can accommodate the $R_K$ and $R_{K^{\ast }}$ anomalies and weaken considerably the $Z^{\prime }$ mass limits while remaining perturbative up to the Planck scale.

12 pages,2 figures