Two-loop scalar self-energies in a general renormalizable theory at leading order in gauge couplings
Abstract
I present results for the two-loop self-energy functions for scalars in a general renormalizable field theory, using mass-independent renormalization schemes based on dimensional regularization and dimensional reduction. The results are given in terms of a minimal set of loop-integral basis functions, which are readily evaluated numerically by computers. This paper contains the contributions corresponding to the Feynman diagrams with zero or one vector propagator lines. These are the ones needed to obtain the pole masses of the neutral and charged Higgs scalar bosons in supersymmetry, neglecting only the purely electroweak parts at two-loop order. A subsequent paper will present the results for the remaining diagrams, which involve two or more vector lines. I also include an illustrative example, featuring several nontrivial consistency checks.
- Publication:
-
Physical Review D
- Pub Date:
- July 2004
- DOI:
- 10.1103/PhysRevD.70.016005
- arXiv:
- arXiv:hep-ph/0312092
- Bibcode:
- 2004PhRvD..70a6005M
- Keywords:
-
- 11.10.Gh;
- 11.25.Db;
- Renormalization;
- Properties of perturbation theory;
- High Energy Physics - Phenomenology
- E-Print:
- 26 pages, 4 figures, revtex4, axodraw.sty. Version 2: sentence after eq. (A.13) corrected, references added. Version 3: typos in eqs. (5.17), (5.20), (5.21), (5.32) are corrected. Also, the MSbar versions of eqs. (5.32) and (5.33) are now included