Pair Production of a 125 GeV Higgs Boson in MSSM and NMSSM at the LHC
Junjie Cao, Zhaoxia Heng, Liangliang Shang, Peihua Wan, Jin Min Yang

TL;DR
This paper investigates the potential enhancement of Higgs pair production rates in the MSSM and NMSSM models at the LHC, showing significant possible increases over the Standard Model predictions based on current experimental constraints.
Contribution
It provides a detailed analysis of Higgs pair production in MSSM and NMSSM, highlighting the potential for substantial rate enhancements consistent with recent LHC data.
Findings
Higgs pair production can be up to 10 times larger than SM predictions.
In the most favored MSSM regions, the rate is enhanced by a factor of 1.45.
NMSSM allows for both enhancement and suppression, with ratios from 0.7 to 2.4.
Abstract
In light of the recent LHC Higgs search data, we investigate the pair production of a SM-like Higgs boson around 125 GeV in the MSSM and NMSSM. We first scan the parameter space of each model by considering various experimental constraints, and then calculate the Higgs pair production rate in the allowed parameter space. We find that in most cases the dominant contribution to the Higgs pair production comes from the gluon fusion process and the production rate can be greatly enhanced, maximally 10 times larger than the SM prediction (even for a TeV-scale stop the production rate can still be enhanced by a factor of 1.3). We also calculate the chi-square value with the current Higgs data and find that in the most favored parameter region the production rate is enhanced by a factor of 1.45 in the MSSM, while in the NMSSM the production rate can be enhanced or suppressed…
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