The FeynHiggs NNLL hybrid and the authors' three-loop fixed-order predictions of the MSSM light Higgs mass agree below 10 TeV, and the measured Higgs mass rules out SUSY scales above 12.5 TeV in the heavy-SUSY, no-mixing benchmark.
A Review of Higgs Mass Calculations in Supersymmetric Models
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abstract
The discovery of the Higgs boson is both a milestone achievement for the Standard Model and an exciting probe of new physics beyond the SM. One of the most important properties of the Higgs is its mass, a number that has proven to be highly constraining for models of new physics, particularly those related to the electroweak hierarchy problem. Perhaps the most extensively studied examples are supersymmetric models, which, while capable of producing a 125 GeV Higgs boson with SM-like properties, do so in non-generic parts of their parameter spaces. We review the computation of the Higgs mass in the Minimal Supersymmetric Standard Model, in particular the large radiative corrections required to lift $m_h$ to 125 GeV and their calculation via Feynman-diagrammatic and effective field theory techniques. This review is intended as an entry point for readers new to the field, and as a summary of the current status, including the existing analytic calculations and publicly-available computer codes.
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Comparison of the EFT Hybrid and Three-Loop Fixed-Order Calculations of the Lightest MSSM Higgs Boson Mass
The FeynHiggs NNLL hybrid and the authors' three-loop fixed-order predictions of the MSSM light Higgs mass agree below 10 TeV, and the measured Higgs mass rules out SUSY scales above 12.5 TeV in the heavy-SUSY, no-mixing benchmark.