Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion

Abstract

We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the $K$ factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.

37 pages

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Cited by in corpus (12)

• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM
• SusHi Bento: Beyond NNLO and the heavy-top limit
• Precision Calculations in Supersymmetric Theories
• Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ context
• Towards precise predictions for Higgs-boson production in the MSSM
• Phenomenology of on-shell Higgs production in the MSSM with complex parameters
• Light Stop Mass Limits from Higgs Rate Measurements in the MSSM: Is MSSM Electroweak Baryogenesis Still Alive After All?
• Current status of MSSM Higgs sector with LHC 13 TeV data
• Decoupling constant for ${\alpha }_s$ and the effective gluon-Higgs coupling to three loops in supersymmetric QCD
• SLAM, a Mathematica interface for SUSY spectrum generators
• Higgs boson production in the SM and MSSM to NNLO and beyond