Two-loop effective potential for generalized gauge fixing

We obtain the two-loop effective potential for general renormalizable theories, using a generalized gauge-fixing scheme that includes as special cases the background-field Rξ gauges, the Fermi gauges, and the familiar Landau gauge, and using dimensional regularization in the bare and MS renormalizat...

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Bibliographic Details
Published in:Physical review. D 2018-10, Vol.98 (7), p.076008, Article 076008
Main Authors: Martin, Stephen P., Patel, Hiren H.
Format: Article
Language:English
Subjects:
Fixing
Gauges
Mathematical models
Parameters
Regularization
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Summary:We obtain the two-loop effective potential for general renormalizable theories, using a generalized gauge-fixing scheme that includes as special cases the background-field Rξ gauges, the Fermi gauges, and the familiar Landau gauge, and using dimensional regularization in the bare and MS renormalization schemes. As examples, the results are then specialized to the Abelian Higgs model and to the Standard Model. In the case of the Standard Model, we study how the vacuum expectation value and the minimum vacuum energy depend numerically on the gauge-fixing parameters. The results at fixed two-loop order exhibit nonconvergent behavior for sufficiently large gauge-fixing parameters; this can presumably be addressed by a resummation of higher-order contributions.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.076008