Higgs boson mass in the Standard Model at two-loop order and beyond

Abstract

We calculate the mass of the Higgs boson in the Standard Model in terms of the underlying Lagrangian parameters at complete 2-loop order with leading 3-loop corrections. A computer program implementing the results is provided. The program also computes and minimizes the Standard Model effective potential in Landau gauge at 2-loop order with leading 3-loop corrections.

24 pages. Source code and documentation are available at http://www.niu.edu/spmartin/SMH or http://faculty.otterbein.edu/drobertson/SMH v2: references added. v3: Errors in equations (3.4), (3.9), and (3.10) corrected. The numerical impact is extremely small

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• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
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• Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
• Precise Estimates of the Higgs Mass in Heavy SUSY
• Taming Infrared Divergences in the Effective Potential
• Taming the Goldstone contributions to the effective potential
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• (No) Eternal Inflation and Precision Higgs Physics

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