Application of the background field method to the electroweak standard model

Application of the background-field method yields a gauge-invariant effective action for the electroweak Standard Model, from which simple QED-like Ward identities are derived. As a consequence of these Ward identities, the background-field Green functions are shown to possess very desirable theoretical properties. The renormalization of the Standard Model in the background-field formalism is studied. A consistent on-shell renormalization procedure retaining the full gauge symmetry is presented. The structure of the counterterms is shown to greatly simplify compared to the conventional formalism. A complete list of Feynman rules for the Standard Model in the background-field method is given for arbitrary values of a quantum gauge parameter including all counterterms necessary for one-loop calculations.

electroweak interaction
effective action
invariance: gauge
background field
Ward identity
propagator
renormalization
S-matrix
vertex function
quantization

References(32)

Figures(0)

Quantum Theory of Gravity. 2. The Manifestly Covariant Theory

Bryce S. DeWitt
(
- Princeton, Inst. Advanced Study and
- North Carolina U.
)

- Phys.Rev. 162 (1967) 1195-1239,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 105-149,
•
DOI:
- 10.1103/PhysRev.162.1195

- Acta Univ.Wratislav. 368 345

Renormalization of Nonabelian Gauge Theories in a Background Field Gauge. 1. Green Functions

H. Kluberg-Stern
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

- Phys.Rev.D 12 (1975) 482-488
•
DOI:
- 10.1103/PhysRevD.12.482

Renormalization of Nonabelian Gauge Theories in a Background Field Gauge. 2. Gauge Invariant Operators

H. Kluberg-Stern
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

- Phys.Rev.D 12 (1975) 3159-3180
•
DOI:
- 10.1103/PhysRevD.12.3159

Gauge Dependence of the Effective Action

David G. Boulware
(
- Washington U., Seattle
)

- Phys.Rev.D 23 (1981) 389
•
DOI:
- 10.1103/PhysRevD.23.389

THEORY AND RENORMALIZATION OF THE GAUGE INVARIANT EFFECTIVE ACTION

C.F. Hart
(
- Oregon U. and
- Texas U.
)

- Phys.Rev.D 28 (1983) 1993-2006,
- Phys. Rev. D28 ( 1983) 1993-2006
•
DOI:
- 10.1103/PhysRevD.28.1993

The Background Field Method Beyond One Loop

L.F. Abbott
(
- CERN
)

- Nucl.Phys.B 185 (1981) 189-203
•
DOI:
- 10.1016/0550-3213(81)90371-0

Introduction to the Background Field Method

L.F. Abbott
(
- CERN
)

- Acta Phys.Polon.B 13 (1982) 33

Renormalization Using the Background Field Method

Shoichi Ichinose
(
- Tsukuba U.
)
,
Minoru Omote
(
- Alberta U.
)

- Nucl.Phys.B 203 (1982) 221-267
•
DOI:
- 10.1016/0550-3213(82)90029-3

The Background Field Method at Two Loops: A General Gauge {Yang-Mills} Calculation

- Nucl.Phys.B 203 (1982) 413-422
•
DOI:
- 10.1016/0550-3213(82)90321-2

The Background Field Method and the S Matrix

- Nucl.Phys.B 229 (1983) 372-380
•
DOI:
- 10.1016/0550-3213(83)90337-1

A Mapping between Feynman and string motivated one loop rules in gauge theories

Zvi Bern
(
- Pittsburgh U.
)
,
David C. Dunbar
(
- Liverpool U.
)

- Nucl.Phys.B 379 (1992) 562-601
•
DOI:
- 10.1016/0550-3213(92)90135-X

Supersymmetry relations between contributions to one loop gauge boson amplitudes

Z. Bern
(
- UCLA
)
,
A.G. Morgan
(
- Durham U.
)

- Phys.Rev.D 49 (1994) 6155-6163
•
e-Print:
- hep-ph/9312218
•
DOI:
- 10.1103/PhysRevD.49.6155

Gauge invariance of Green functions: Background field method versus pinch technique

- Phys.Lett.B 333 (1994) 420-426
•
e-Print:
- hep-ph/9406204
•
DOI:
- 10.1016/0370-2693(94)90162-7

Green functions from a gauge invariant effective action for the electroweak standard model

- Nucl.Phys.B Proc.Suppl. 37 (1994) 2, 87-92
•
e-Print:
- hep-ph/9406400
•
DOI:
- 10.1016/0920-5632(94)90664-5

Electroweak Radiative Corrections with an Effective Lagrangian: Four Fermion Processes

D.C. Kennedy
(
- Stanford U., ITP and
- SLAC
)
,
B.W. Lynn
(
- Stanford U., ITP and
- SLAC
)

- Nucl.Phys.B 322 (1989) 1-54
•
DOI:
- 10.1016/0550-3213(89)90483-5

Electroweak Cross-Sections and Asymmetries at the Z0

D.C. Kennedy
(
- Stanford U., ITP and
- SLAC
)
,
B.W. Lynn
(
- Stanford U., ITP and
- SLAC
)
,
C.J.C. Im
(
- Stanford U., ITP and
- SLAC
)
,
R.G. Stuart
(
- Munich, Max Planck Inst.
)

- Nucl.Phys.B 321 (1989) 83-107
•
DOI:
- 10.1016/0550-3213(89)90243-5

Direct one loop renormalization of SU(2)-L x U(1)-Y four fermion processes and running coupling constants

- Nucl.Phys.B 350 (1991) 25-72
•
DOI:
- 10.1016/0550-3213(91)90252-S

Dynamical Mass Generation in Continuum QCD

John M. Cornwall
(
- UCLA
)

- Phys.Rev.D 26 (1982) 1453
•
DOI:
- 10.1103/PhysRevD.26.1453

Gauge Invariant Three Gluon Vertex in QCD

John M. Cornwall
(
- UCLA
)
,
Joannis Papavassiliou
(
- UCLA
)

- Phys.Rev.D 40 (1989) 3474
•
DOI:
- 10.1103/PhysRevD.40.3474

Gauge Invariant Proper Selfenergies and Vertices in Gauge Theories with Broken Symmetry

Joannis Papavassiliou
(
- UCLA
)

- Phys.Rev.D 41 (1990) 3179
•
DOI:
- 10.1103/PhysRevD.41.3179

Gauge invariant selfenergies and vertex parts of the Standard Model in the pinch technique framework

Giuseppe Degrassi
(
- New York U.
)
,
Alberto Sirlin
(
- New York U.
)

- Phys.Rev.D 46 (1992) 3104-3116
•
DOI:
- 10.1103/PhysRevD.46.3104

Calculation of two-loop self-energies in the electroweak Standard Model

- Nucl.Phys.B Proc.Suppl. 37 (1994) 2, 95-114,
- In *Teupitz 1994, Proceedings, Physics at LEP200 and beyond* 95-114
•
e-Print:
- hep-ph/9406404
•
DOI:
- 10.1016/0920-5632(94)90665-3

The Background field method: Alternative way of deriving the pinch technique's results

- Phys.Rev.D 50 (1994) 7066-7076
•
e-Print:
- hep-ph/9406271
•
DOI:
- 10.1103/PhysRevD.50.7066

Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200

Ansgar Denner
(
- Wurzburg U.
)

- Fortsch.Phys. 41 (1993) 307-420
•
e-Print:
- 0709.1075
•
DOI:
- 10.1002/prop.2190410402

1-25 of 32
1
2
25 / page