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

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arxiv hep-ph/0111209 v2 pith:HVIHVHL6 submitted 2001-11-16 hep-ph

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

classification hep-ph
keywords two-loopbrokeneffectivepotentialsoftlysupersymmetrycomputedimensional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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