Searching for a Heavy Neutral CP-Even Higgs Boson in the BLSSM at the LHC Run 3 and HL-LHC

The detection of a heavy neutral CP-even Higgs boson of the $B-L$ Supersymmetric Standard Model (BLSSM), $h^{\mathrm{\prime }}$, with $m_{h^{\mathrm{\prime }}}\simeq 400\text{ GeV}$, at the Large Hadron Collider (LHC) for a center-of-mass energy of $\sqrt{s}=14\text{ TeV}$, is investigated. The following production and decay channels are considered: $gg\to h^{\mathrm{\prime }}\to ZZ\to 4\mathrm{\ell }$ and $gg\to h^{\mathrm{\prime }}\to W^{+}{W}^{-}\to 2\mathrm{\ell }+\text{slashed}{E}_T$ (with $\text{slashed}{E}_T$ being the Missing~Transverse~Energy~(MET)), where $\mathrm{\ell }=e,\mu$, with integrated luminosity $L_{\text{int}}=300{\text{fb}}^{-1}$ (Run 3). Furthermore, we also look into the di-Higgs channel $gg\to h^{\mathrm{\prime }}\to hh\to b\bar{b}\gamma \gamma$ at the High-Luminosity LHC (HL-LHC) with an integrated luminosity of $L_{\text{int}}=3000{\text{fb}}^{-1}$. We demonstrate that promising signals with high statistical significance can be obtained through the three aforementioned channels.