Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-11-16
Phys.Rev. D65 (2002) 116003
Physics
High Energy Physics
High Energy Physics - Phenomenology
38 pages. Typos in equations (3.5), (3.11), and (6.3) are fixed. Explicit claim of renormalization group invariance in the gen
Scientific paper
10.1103/PhysRevD.65.116003
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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