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.
Highlights
The discovery by the ATLAS and CMS Collaborations at the CERN Large Hadron Collider (LHC) [1,2] of a bosonic particle, with properties which are compatible with those predicted for the Higgs boson of the Standard Model (SM), represents a significant progress in our understanding of the electroweak symmetry breaking mechanism
We decided to use the fixed-order and EFT hybrid calculations currently included in FeynHiggs, which seems to be in a very good agreement with the other fixed-order and EFT codes and gives a reliable three-loop predictions of the Higgs boson mass for large SUSY scales, in order to provide a numerical comparison of our three-loop fixed-order predictions of the lightest minimal supersymmetric extension of the SM (MSSM) Higgs boson mass reported in [34] with the fixed-order and EFT hybrid results found in literature
We focus on the prediction of the lightest Higgs boson mass, Mh, at three-loop accuracy using a fixed-order Feynman diagrammatic (FD) computation which is based on the calculation of Higgs self-energy corrections at the given perturbative order
Summary
The discovery by the ATLAS and CMS Collaborations at the CERN Large Hadron Collider (LHC) [1,2] of a bosonic particle, with properties which are compatible with those predicted for the Higgs boson of the Standard Model (SM), represents a significant progress in our understanding of the electroweak symmetry breaking mechanism. Several numerical comparisons of the hybrid approach implemented in FeynHiggs to the pure EFT calculations have been studied in [38,49,56] Those papers reported surprising non-negligible numerical differences between FeynHiggs and pure EFT codes for the prediction of Mh at large SUSY scales. We decided to use the fixed-order and EFT hybrid calculations currently included in FeynHiggs, which seems to be in a very good agreement with the other fixed-order and EFT codes and gives a reliable three-loop predictions of the Higgs boson mass for large SUSY scales, in order to provide a numerical comparison of our three-loop fixed-order predictions of the lightest MSSM Higgs boson mass reported in [34] with the fixed-order and EFT hybrid results found in literature.
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