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

TL;DR

This paper studies the production of pseudoscalar and Higgs bosons at the LHC within the simplest little Higgs model, revealing dominant processes, cross section magnitudes, and potential observable signatures.

Contribution

It provides a comprehensive analysis of Higgs and pseudoscalar boson pair production processes in the SLHM, highlighting their cross sections and experimental signatures.

Findings

gg->ηη cross section dominates over bar{b}->ηη

On-shell h mediates higher cross sections, off-shell reduces by two orders

Enhanced Higgs pair production compared to the Standard 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 {\eta} and SM-like Higgs boson h at LHC, namely gg(b\bar{b})-> {\eta}{\eta}, gg(q\bar{q})-> {\eta}h 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-> {\eta}{\eta} always dominates over that of b\bar{b}-> {\eta}{\eta}. 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-> {\eta}h and q\bar{q}-> {\eta}h are about in the same order of magnitude, which can reach $\ord{(10^2fb)}$ for a light {\eta} 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 {\eta}{\eta}, {\eta}h and hh at the LHC, respectively.