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

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 inva...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Vol. 89; no. 1
Main Author: Martin, Stephen P.
Format: Journal Article
Language:English
Published: 08.01.2014
Subjects:
Approximation
Bosons
Cosmology
Couplings
Gauge invariance
Gravitation
Mathematical analysis
Regularization
Standard model (particle physics)
ISSN:1550-7998, 1550-2368
Online Access:Get full text
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Summary: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.
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ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.89.013003