Searching for Charged Higgs Bosons in the $B-L$ Supersymmetric Standard Model at the High Luminosity Large Hadron Collider

Upon assuming the $B-L$ Supersymmetric Standard Model (BLSSM) as theoretical framework accommodating a multi-Higgs sector, we assess the scope of the High Luminosity Large Hadron Collider (HL-LHC) in accessing charged Higgs bosons ($H^{\pm }$) produced in pairs from $Z^{\mathrm{\prime }}$ decays. We show that, by pursuing both di-jet and tau-neutrino decays, several signals can be established for $H^{\pm }$ masses ranging from about $M_W$ to above $m_t$ and $Z^{\mathrm{\prime }}$ masses between 2.5 TeV and 3.5 TeV. The discovery can be attained, even in a background free environment in some cases, owing to the fact that the very massive resonating $Z^{\mathrm{\prime }}$ ejects the charged Higgs bosons at very high transverse momentum, a kinematic region where any SM noise is hugely depleted.