# Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons

## Abstract

I present the two-loop self-energy functions and pole masses for fermions in an arbitrary renormalizable field theory in the approximation that vector bosons are treated as massless. The calculations are done simultaneously in the mass-independent MS, DR, and DR{sup '} renormalization schemes, with a general covariant gauge fixing, and treating Majorana and Dirac fermions in a unified way. As examples, I discuss the two-loop strong interaction corrections to the gluino, neutralino, chargino, and quark pole masses in minimal supersymmetry. All other two-loop contributions to the fermion pole masses in softly broken supersymmetry also can be obtained as special cases of the results given here, neglecting only the electroweak symmetry breaking scale compared to larger mass scales in two-loop diagrams that involve W or Z bosons.

- Authors:

- Physics Department, Northern Illinois University, DeKalb Illinois 60115 USA and Fermi National Accelerator Laboratory, P.O. Box 500, Batavia Illinois 60510 (United States)

- Publication Date:

- OSTI Identifier:
- 20713886

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.72.096008; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; QUARKS; RENORMALIZATION; REST MASS; SELF-ENERGY; SPARTICLES; STANDARD MODEL; STRONG INTERACTIONS; SUPERSYMMETRY; SYMMETRY BREAKING; VECTORS; W MINUS BOSONS; W PLUS BOSONS; Z NEUTRAL BOSONS

### Citation Formats

```
Martin, Stephen P.
```*Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.096008.

```
Martin, Stephen P.
```*Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons*. United States. doi:10.1103/PhysRevD.72.096008.

```
Martin, Stephen P. Tue .
"Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons". United States.
doi:10.1103/PhysRevD.72.096008.
```

```
@article{osti_20713886,
```

title = {Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons},

author = {Martin, Stephen P.},

abstractNote = {I present the two-loop self-energy functions and pole masses for fermions in an arbitrary renormalizable field theory in the approximation that vector bosons are treated as massless. The calculations are done simultaneously in the mass-independent MS, DR, and DR{sup '} renormalization schemes, with a general covariant gauge fixing, and treating Majorana and Dirac fermions in a unified way. As examples, I discuss the two-loop strong interaction corrections to the gluino, neutralino, chargino, and quark pole masses in minimal supersymmetry. All other two-loop contributions to the fermion pole masses in softly broken supersymmetry also can be obtained as special cases of the results given here, neglecting only the electroweak symmetry breaking scale compared to larger mass scales in two-loop diagrams that involve W or Z bosons.},

doi = {10.1103/PhysRevD.72.096008},

journal = {Physical Review. D, Particles Fields},

number = 9,

volume = 72,

place = {United States},

year = {Tue Nov 01 00:00:00 EST 2005},

month = {Tue Nov 01 00:00:00 EST 2005}

}