Probing heavy Higgs boson production and decay in the bestest little Higgs model at the LHC

In the bestest little Higgs model (BLHM) scenario, we analyze the branching ratios and production cross section of the heavy Higgs boson <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>H</a:mi><a:mn>0</a:mn></a:msub></a:math>. 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 <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>H</c:mi><c:mn>0</c:mn></c:msub></c:math> via gluon fusion for the center-of-mass energies and integrated luminosities of the LHC, HE-LHC, and HL-LHC. Our results show a very optimistic scenario for studying the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>H</e:mi><e:mn>0</e:mn></e:msub></e:math> scalar predicted by the BLHM and for the energies and luminosities of current and future hadron colliders.