$W^{\prime }\to h{H}^{\pm }$ decay in $G(221)$ models

Abstract

Based on extended $SU(2{)}_1\times SU(2{)}_2\times U(1{)}_{\text{X}}$ gauge groups, $G(221)$ models predict the existence of an additional heavy gauge boson $W^{\prime }$ and of a heavy charged Higgs boson $H^{\pm }$. Within this model we calculate the coupling of the $W^{\prime }$ to $(h,H^{\pm })$, where $h$ can be identified with the Standard Model Higgs boson discovered recently at LHC. Using a phenomenological constraint on the ratio of the symmetry breaking scales in $G(221)$ models, the $W^{\prime }\to h{H}^{\pm }$ decay width and the $(h,H^{\pm })$ production cross section via an intermediate $W^{\prime }$ in $pp$ collisions at $\sqrt{s}=8$ TeV are calculated. Fiducial cross sections obtained with $G(221)$ models for several final states are compared with recent results in searches for supersymmetry at LHC published by the ATLAS Collaboration.