2001/11/30 by Stephen P. Martin · 1 citation
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1103/physrevd.65.116003
published as Phys.Rev. D65 (2002) 116003 · 38 pages. Typos in equations (3.5), (3.11), and (6.3) are fixed. Explicit claim of renormalization group invariance in the general case of softly-broken supersymmetry is added. Additional discussion of cases of multiple simple or U(1) groups. Equations in Appendix B rewritten in a more useful form
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 MS renormalization scheme based on dimensional regularization, and for the DR and 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 DR and 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.