A pr 2 00 4 Higgs boson pair production in the little Higgs model at hadron collider ∗

Higgs boson pair production process at hadron collider provides an opportunity for performing the study of the trilinear Higgs boson self-coupling. In this paper, We analyze the pair production of neutral Higgs boson via both gluon-gluon and b− b̄ fusions in the littlest Higgs (LH) model at the CERN LHC. We find that in some parameter space the relative corrections of the total cross section to the SM prediction may reach the value of 14% when x(= 4fv/v) = 0.9 at the LHC. We conclude that if the parameter x is in the range of 0.85−0.9, the effect contributed by the LH model could be observed at the LHC. PACS: 12.60.Cn, 13.85.Fb, 14.80.Bn ∗Supported by National Natural Science Foundation of China. 1