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), \(h'\), with \(m_{h'}\simeq 400~\text{GeV}\), 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: \(gg\to h'\to{ZZ}\to4\ell\) and \(gg\to h'\to{W^+W^-}\to2\ell+\slashed{E}_T\) (with \(\slashed{E}_T\) being the Missing~Transverse~Energy~(MET)), where \(\ell=e,\mu\), with integrated luminosity \(L_{\text{int}}=300~{\text{fb}}^{-1}\) (Run 3). Furthermore, we also look into the di-Higgs channel \(gg\to h'\to{hh}\to{b\bar{b}\gamma\gamma}\) 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.