$W' \to hH^{\pm}$ decay in $G(221)$ models
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 $W'$ and of a heavy charged Higgs boson $H^\pm$. Within this model we calculate the coupling of the $W'$ 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 $W' \to hH^{\pm}$ decay width and the $(h,H^{\pm})$ production cross section via an intermediate $W'$ 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.