Comparison of the EFT hybrid and three-loop fixed-order calculations of the lightest MSSM Higgs boson mass

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. For large SUSY scales above 10 TeV, sizeable numerical differences between the two predictions have been observed. 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 +/- 1.2 TeV are excluded.