Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings

Abstract

I find the three-loop contribution to the effective potential for the Standard Model Higgs field, in the approximation that the strong and top Yukawa couplings are large compared to all other couplings, using dimensional regularization with modified minimal subtraction. Checks follow from gauge invariance and renormalization group invariance. I also briefly comment on the special problems posed by Goldstone boson contributions to the effective potential, and on the numerical impact of the result on the relations between the Higgs vacuum expectation value, mass, and self-interaction coupling.

25 pages. v2: references added

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• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Cosmological implications of the Higgs mass measurement
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Cited by in corpus (40)

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• Symmetry-Improved 2PI Approach to the Goldstone-Boson IR Problem of the SM Effective Potential
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• Renormalization Group Improvement of the Effective Potential: an EFT Approach
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• Resummation of Goldstone Infrared Divergences: A Proof to All Orders
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