The hMSSM approach for Higgs self-couplings revisited

Abstract

We compare the decay of the heavy Higgs boson into two SM-like Higgs bosons, $H\to hh$, calculated in a Feynman-diagrammatic approach at the one-loop level based on the one hand on the full effective potential involving the top quark and stops in the Minimal Supersymmetric Standard Model (MSSM) accompanied by the matched Two-Higgs-Doublet Model (2HDM) as its low-energy limit and on the other hand on the hMSSM approximation. We identify missing contributions due to the top quark in the Higgs self-couplings of the hMSSM, that - when taken into account - lead to a good agreement between the hMSSM and a full MSSM calculation, at least in the limit of the Higgsino mass parameter $\mu$ being small compared to the stop spectrum. We also thoroughly analyze momentum-dependent and kinetic corrections intrinsic to the Feynman-diagrammatic approach and the matching to the effective Lagrangian, respectively, for both our calculation in the MSSM and the hMSSM and for the latter suggest to include additional corrections from the top quark, which are independent of the unknown supersymmetric spectrum.

arXiv comment29 pages, 7 figures; v2: figure added, journal version

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• HL-LHC and ILC sensitivities in the hunt for heavy Higgs bosons
• Next-to-leading order corrections to decays of the heavier CP-even Higgs boson in the two Higgs doublet model
• The hMSSM with a Light Gaugino/Higgsino Sector: Implications for Collider and Astroparticle Physics