Searches for $pp\rightarrow H^{\pm}h\rightarrow W^{\pm}hh$ signal in the MSSM model

Abstract: We considered the new signature of a charged Higgs boson, $pp\rightarrow H^{\pm}h\rightarrow W^{\pm}hh$, which is almost background free as the promising to study of supersymmetry at the LHC with both $\sqrt{s} = 13$ TeV and $\sqrt{s}= 14$ TeV. In the framework of MSSM model we used the latest theoretical parameter space, which is consistent with the experimental constraints from Large Hadron Collider and direct or indirect searches. In the surviving regions with the help of Pythia 8.3 and Feynhiggs programs it was found that production cross sections, $\sigma(pp\rightarrow H^{\pm}h)$, and Branching Ratios, $BR(H^{\pm}\rightarrow W^{\pm}h)$, are the largest at Benchmark Points 4 and 14 correspondingly.