Heavy Higgs boson searches at the LHC in light of a left-right symmetric model

We investigate a left-right symmetric model respecting $SU(3{)}_C\otimes SU(2{)}_L\otimes U(1{)}_L\otimes SU(2{)}_R\otimes U(1{)}_R$ local gauge symmetry. We study the interactions of the heavy neutral and charged scalars of this model along with their production at the hadron collider and their subsequent decays. We analyze the collider searches of two heavy scalars, one of them is charge neutral and another one is singly charged. In both the cases we consider their associated production at the Large Hadron Collider (LHC) and finally concentrate only on the leptonic final states. We perform both cut-based and multivariate analysis using the boosted decision tree algorithm for 14 TeV as well as 27 TeV LHC run with $3000{\mathrm{fb}}^{-1}$ integrated luminosity. As expected, the multivariate analysis shows a better signal-background discrimination compared to the cut-based analysis. In this article, we show that a charged Higgs of mass 750 GeV and 1.2 TeV can be probed with $2.77\sigma$ ($4.58\sigma$) and $1.38\sigma$ ($3.66\sigma$) significance at 14 (27) TeV run of LHC.