Neutral Higgs Boson Pair Production in Standard Model with the Fourth Generation Quarks at LHC

We investigated the neutral Higgs boson pairproduction at the CERN Large Hadron Collider (LHC) in the SM withfour families. We found that the gluon-gluon fusion mode is themost dominant one in producing neutral Higgs boson pair at theLHC, and it can be used to probe the trilinear Higgs coupling. Ifthe heavy quarks of the fourth generation really exist within theSM, they can manifest their effect on the cross section of theHiggs pair production process at the LHC. Our numerical resultsshow that there will be 2×10⁴ neutral Higgs boson pairproduction events per year if the next generation heavy quarksreally exist, while there will be only 2×10³ eventsproduced per year if there are only three families in the SM.