Constraints on the malaphoric $B_3-L_2$ model from di-lepton resonance searches at the LHC

We confront the malaphoric $B_3-L_2$ model with bounds coming from a search for resonances in the di-lepton channels at the 13~TeV LHC. In contrast to the original $B_3-L_2$ model, the $Z^{\mathrm{\prime }}$ of the malaphoric $B_3-L_2$ model has sizeable couplings to the lighter two families; these originate from order unity kinetic mixing with the hypercharge gauge boson and ameliorate the fit to lepton flavour universality measurements in $B-$meson decays. The $Z^{\mathrm{\prime }}$ coupling to the first two families of quark means that the resulting constraints from resonant di-lepton searches are stronger. Nevertheless, we find that for $M_{Z^{\mathrm{\prime }}}>2.8$ TeV there remains a non-negligible region of allowed parameter space where the model significantly improves upon several Standard Model predictions for observables involving the $b\to s{l}^{+}{l}^{-}$ transition. We estimate that the 3000 fb${}^{-1}$ HL-LHC will extend this sensitivity to $M_{Z^{\mathrm{\prime }}}=4.2$ TeV.