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Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry

Stephen P. Martin
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Abstract

I compute the two-loop effective potential in the Landau gauge for a general renormalizable field theory in four dimensions. Results are presented for the \bar{MS} renormalization scheme based on dimensional regularization, and for the \bar{DR} and \bar{DR}' schemes based on regularization by dimensional reduction. The last of these is appropriate for models with softly broken supersymmetry, such as the Minimal Supersymmetric Standard Model. I find the parameter redefinition which relates the \bar{DR} and \bar{DR}' schemes at two-loop order. I also discuss the renormalization group invariance of the two-loop effective potential, and compute the anomalous dimensions for scalars and the beta function for the vacuum energy at two-loop order in softly broken supersymmetry. Several illustrative examples and consistency checks are included.

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Stephen P. Martin. 2002-03-29. Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry. https://doi.org/10.1103/physrevd.65.116003

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