In the MSSM with heavy SUSY particles and complex phases, the lightest Higgs mass can vary by up to about 20 GeV with the phase of the trilinear couplings, while its CP-odd admixture drops below 0.5% once the charged Higgs mass exceeds about 260 GeV.
Comparison of the EFT Hybrid and Three-Loop Fixed-Order Calculations of the Lightest MSSM Higgs Boson Mass
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abstract
The lightest Higgs boson mass of the Minimal Supersymmetric Standard Model has been recently computed diagrammatically at the three-loop order in the whole supersymmetric parameters space of the SUSY-QCD sector. The code FeynHiggs combines one- and two-loop fixed-order with the effective-field-theory calculations for the same Higgs mass. The two numerical predictions agree considering the scenario of only one SUSY-scale and vanishing stop mixing parameter below 10 TeV. The agreement is improved by introducing an additional supersymmetric scale and a non-zero stop mixing. Additionally, the combined CMS/ATLAS Higgs mass value was used to derive an upper bound on the needed SUSY scale. In the considered scenario, values above the scale $12.5\pm1.2~\rm{TeV}$ are excluded.
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Higgs-Boson Masses and Mixings in the MSSM with CP Violation and Heavy SUSY Particles
In the MSSM with heavy SUSY particles and complex phases, the lightest Higgs mass can vary by up to about 20 GeV with the phase of the trilinear couplings, while its CP-odd admixture drops below 0.5% once the charged Higgs mass exceeds about 260 GeV.