Nonstandard gauge boson selfinteractions within a gauge invariant model

We examine dimension-six extensions of the standard electroweak Lagrangian which are invariant under local SU(2)xU(1)-transformations. The dimension-four trilinear and quadrilinear effective interactions of the vector bosons with one another are found to coincide with the vector boson interactions previously derived from global SU(2) weak isospin symmetry broken by electromagnetism. Supplementing the model by a well-known dimension-six single-parameter quadrupole interaction leads to the most general vector boson self-couplings that can be obtained by addition of dimension-six terms to the standard Lagrangian. We examine in some detail another SU(2)xU(1)-symmetric interaction which contains W_3 B mixing and modifies both vector boson self-couplings and fermionic interactions. Independently of being strongly constrained by LEP 1 data, the addition of this interaction does not change the form of the trilinear and quadrilinear self-couplings of the vector bosons. Therefore, while being interesting in itself with respect to LEP 1 physics, this term is irrelevant for the phenomenology of the vector boson self-interactions.

Note:

Revised version

gauge field theory: SU(2) x U(1)
invariance: gauge
electroweak interaction: effective Lagrangian
effective Lagrangian: electroweak interaction
coupling: (3gauge boson)
(3gauge boson): coupling
coupling: (4gauge boson)
(4gauge boson): coupling
renormalization

References(38)

Figures(0)

Precision tests of the electroweak interaction

Luigi Rolandi
(
- CERN
)

- AIP Conf.Proc. 272 (2008) 56-80
•
DOI:
- 10.1063/1.43381

Partial Symmetries of Weak Interactions

S.L. Glashow
(
- Copenhagen U.
)

- Nucl.Phys. 22 (1961) 579-588,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 171-180
•
DOI:
- 10.1016/0029-5582(61)90469-2

A Model of Leptons

Steven Weinberg
(
- MIT, LNS
)

- Phys.Rev.Lett. 19 (1967) 1264-1266,
- Also in *Lichtenberg, D. B. (ed.), Rosen, S. P. (ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 157-159,
- In *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 185-187,
- In *Rosner, J. L. (ed.): New Particles*, 26-28
•
DOI:
- 10.1103/PhysRevLett.19.1264

Weak and Electromagnetic Interactions

Abdus Salam
(
- Imperial Coll., London and
- ICTP, Trieste
)

- Conf.Proc.C 680519 (1968) 367-377,
- Reprinted in *Lichtenberg, D. B. (ed.), Rosen, S. P. (ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 160-170, and in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 188-198,
- Also in *Rosner, J.L. (ed.): New particles* 29-39,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 244-254
•
DOI:
- 10.1142/9789812795915_0034

The Radiative Corrections to the Electroweak Parameters in the Dominant Fermion Loop Approximation

G. Gounaris
(
- Bielefeld U.
)
,
D. Schildknecht
(
- CERN
)

- Z.Phys.C 40 (1988) 447,
- Z. PHYS. C40 (1988) 447-463 AND CERN GENEVA - TH. 4940 (87,REC.FEB.88) 44p
•
DOI:
- 10.1007/BF01548860

Testing the local SU(2)-L x U(1)-Y symmetry of vector boson - fermion interactions

J.L. Kneur
(
- Bielefeld U.
)
,
M. Kuroda
(
- Bielefeld U.
)
,
D. Schildknecht
(
- CERN and
- Bielefeld U.
)

- Phys.Lett.B 262 (1991) 93-101
•
DOI:
- 10.1016/0370-2693(91)90649-B

Production of three vector bosons in e+ e- annihilation as a test of W+-, Z, gamma selfinteractions

C. Grosse-Knetter
(
- Bielefeld U.
)
,
D. Schildknecht
(
- Bielefeld U.
)

- Phys.Lett.B 302 (1993) 309-378,
- Phys. Lett. B302 (1993) 309-318 and Bielefeld Univ. - BI-TP-92-30 (92/07,rec.Aug.) 8 p
•
e-Print:
- hep-ph/9207277
•
DOI:
- 10.1016/0370-2693(93)90401-3