Search for the $H\to {\text{W}}^{+}{\text{W}}^{-}$ process at the LHeC Experiment

We consider the decay of the Higgs boson to W${}^{+}$ W${}^{-}$ at a proposed Large Hadron Electron Collider and determine the likelihood of detecting a signal for the Higgs mass from its decay product W jets by imposing cuts to select candidate jet pairs and optimizing the value of the angular separation $\mathrm{\Delta }R$. It was found that at the LHeC experiment (CM energy $\sqrt{s}=1.3$ TeV and luminosity of 100 fb${}^{-1}$ per year), the highest efficiency is obtained with $\mathrm{\Delta }R=0.4$, along with a selection scheme of $|\Delta \eta| <1, 10<m<85$GeV,$p_T$ofjets1and2between$10 - 20$GeVand$p_T$ of jets 3 and 4 $>10$ GeV: this led to an efficiency between $7.1-7.5\mathrm{\%}$ for finding the invariant 4-jet mass in a mass region $<140$ GeV. Under signal-to-background comparison, the signal showed a $3.8\sigma$ excess compared to the charged current W${}^{-}$ background.