Probing the heavy Higgs boson production and decay H₀ of the Bestest Little Higgs Model at the LHC and the FCC-hh

In the Bestest Little Higgs Model (BLHM) scenario, we analyze the branching ratios and production cross-section of the heavy Higgs boson H₀. The analysis is performed at the tree level and the one-loop level. In addition, we present results of the possible production of the heavy Higgs boson H₀ via gluon fusion for the center-of-mass energies and the integrated luminosities of the LHC, HE-LHC, HL-LHC, and FCC-hh. Our results show a very optimistic scenario for studying the H₀ scalar predicted by the BLHM and for the energies and luminosities of current and future hadron colliders.