Pseudoscalar boson and SM-like Higgs boson productions at LHC in simplest little Higgs model

Abstract

In the framework of the simplest little Higgs model (SLHM), we perform a comprehensive study for the pair productions of the pseudoscalar boson η and SM-like Higgs boson h at LHC, namely gg(b\bar{b})-> ηη, gg(q\bar{q})-> ηh and gg(b\bar{b})-> hh. These production processes provide a way to probe the couplings between Higgs bosons. We find that the cross section of gg-> ηη always dominates over that of b\bar{b}-> ηη. When the Higgs boson h which mediates these two processes is on-shell, their cross sections can reach several thousand $fb$ and several hundred $fb$, respectively. When the intermediate state h is off-shell, those two cross sections are reduced by two orders of magnitude, respectively. The cross sections of gg-> ηh and q\bar{q}-> ηh are about in the same order of magnitude, which can reach $\ord{(10^2fb)}$ for a light η boson. Besides, compared with the SM prediction, the cross section of a pair of SM-like Higgs bosons production at LHC can be enhanced sizably. Finally, we briefly discuss the observable signatures of ηη, ηh and hh at the LHC, respectively.

15 pages, 6 figures. Accepted for publication in Phys. ReV. D