Light MSSM Higgs boson mass to three-loop accuracy

2010/05/31 by Philipp Kant, P. Kant, Robert V. Harlander +4 · 4 citations
Mathematics · Physics and Astronomy · #Combinatorics #Higgs boson #Loop (graph theory) #Mathematics #Minimal Supersymmetric Standard Model #Neutrino Physics Research #Parameter space #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Sign (mathematics) #Standard Model (mathematical formulation) #Statistics #Supersymmetry #hep-ph

paper · pdf · doi:10.1007/jhep08(2010)104

published as JHEP 1008:104,2010 · 39 pages, 13 figures. v2: minor changes, typos fixed

openalex publication_date 2010/08/01 · arxiv created 2010/08/24 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The light CP even Higgs boson mass, Mh, is calculated to three-loop accuracy within the Minimal Supersymmetric Standard Model (MSSM). The result is expressed in terms of DRbar parameters and implemented in the computer program H3m. The calculation is based on the proper approximations and their combination in various regions of the parameter space. The three-loop effects to Mh are typically of the order of a few hundred MeV and opposite in sign to the two-loop corrections. The remaining theory uncertainty due to higher order perturbative corrections is estimated to be less than 1 GeV.

Citations

• Automatic application of successive asymptotic expansions of Feynman diagrams
• Higgs Masses and More in the Complex MSSM with FeynHiggs
• New features of FORM
• Four-Loop QCD Corrections to the ElectroweakρParameter
• Four-loop singlet contribution to the electroweak ρ parameter
• N = 1 supersymmetry and the three-loop gauge β-function
• Single scale tadpoles and O(GFmt2αs3) corrections to the ρ parameter
• On the neutral Higgs boson masses in the MSSM for arbitrary stop mixing
• Matching coefficients for αsandmbto 𝒪(αs2) in the MSSM

Cited by

• Two-loop corrections to the Higgs masses in the NMSSM
• What next for the CMSSM and the NUHM: improved prospects for superpartner and dark matter detection
• Three-loop calculation of the higgs boson mass in supersymmetry
• Fighting off field dependence in MSSM Higgs-mass corrections of order α _t α _s and α _t²