A 125 GeV Higgs and its di-photon signal in different SUSY models: a mini review
Zhaoxia Heng

TL;DR
This review discusses the compatibility of a 125 GeV Higgs and its di-photon signal in various low-energy supersymmetric models, highlighting differences in parameter space, signal rates, and fine-tuning issues.
Contribution
It provides a comparative analysis of the Higgs mass and di-photon signals across MSSM, NMSSM, nMSSM, and constrained MSSM, emphasizing the models' viability and phenomenological differences.
Findings
125 GeV Higgs is easily achieved in MSSM, NMSSM, nMSSM
Di-photon signal suppressed in nMSSM and constrained MSSM
NMSSM allows lighter top-squark, reducing fine-tuning
Abstract
In this note we briefly review our recent studies on a 125 GeV Higgs and its di-photon signal rate in different low energy supersymmetric models, namely the minimal supersymmetric standard model (MSSM), the next-to-minimal supersymmetric standard model (NMSSM), the nearly minimal supersymmetric standard model (nMSSM) and the constrained MSSM. Our conclusion is: (i) In the allowed parameter space the SM-like Higgs boson can easily be 125 GeV in the MSSM, NMSSM and nMSSM, while it is hard to realize in the constrained MSSM; (ii) The di-photon Higgs signal rate in the nMSSM and constrained MSSM is suppressed relative to the prediction of the SM, while the signal rate can be enhanced in the MSSM and NMSSM; (iii) The NMSSM may allow for a lighter top-squark than the MSSM, which can thus ameliorate the fine-tuning problem.
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