Probing $W_L^{\mathrm{\prime }}WH$ and $W_R^{\mathrm{\prime }}WH$ Interaction at LHC

Many new physics models predict the existence of TeV-scale charged gauge boson $W^{\mathrm{\prime }}$ together with Higgs boson(s). We study the $W^{\mathrm{\prime }}WH$ interaction and explore the angular distribution of charged lepton to distinguish $W_R^{\mathrm{\prime }}WH$ from $W_L^{\mathrm{\prime }}WH$ in $pp\to HW\to b \bar b l \nu$ process at the LHC. It is found that a new type forward-backward asymmetry($A_{FB}$) relating to the angle between the direction of the charged lepton in $W$ rest frame and that of the reconstructed $W^{\mathrm{\prime }}$ in laboratory frame is useful to investigate the properties of $W^{\mathrm{\prime }}WH$ interaction. We analyze the Standard Model backgrounds and develop a set of cuts to highlight the signal and suppress the backgrounds at LHC. We find that $A_{FB}$ can reach 0.03(-0.07) for $W_R^{\mathrm{\prime }}$($W_L^{\mathrm{\prime }}$) production at $\sqrt{S}=14$ TeV.