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Title: Gauge-invariant three-boson vertices and their Ward identities in the standard model

Abstract

In the context of the standard model we extend the {ital S}-matrix pinch technique for nonconserved currents to the case of three-boson vertices. We outline in detail how effective gauge-invariant three-boson vertices can be constructed, with all three incoming momenta {ital off} {ital shell}. Explicit closed expressions for the vertices {gamma}{ital W}{sup {minus}}{ital W}{sup +}, {ital ZW}{sup {minus}}{ital W}{sup +}, and {chi}{ital W}{sup {minus}}{ital W}{sup +} are reported. The three-boson vertices so constructed satisfy naive QED-like Ward identities which relate them to the gauge-invariant gauge boson self-energies previously constructed by the same method. The derivation of the aforementioned Ward identities relies on the sole requirement of complete gauge invariance of the {ital S}-matrix element considered; in particular, no knowledge of the explicit closed form of the three-boson vertices involved is necessary. The validity of one of these Ward identities is demonstrated explicitly, through a detailed diagrammatic one-loop analysis, in the context of three different gauges.

Authors:
;  [1]
  1. Department of Physics, New York University, Andre and Bella Meyer Hall of Physics, 4 Washington Place, New York, New York 10003 (United States)
Publication Date:
OSTI Identifier:
113020
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 52; Journal Issue: 4; Other Information: PBD: 15 Aug 1995
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; BOSONS; VERTEX FUNCTIONS; GAUGE INVARIANCE; STANDARD MODEL; WARD IDENTITY; S MATRIX; QUANTUM ELECTRODYNAMICS; SELF-ENERGY

Citation Formats

Papavassiliou, J, and Philippides, K. Gauge-invariant three-boson vertices and their Ward identities in the standard model. United States: N. p., 1995. Web. doi:10.1103/PhysRevD.52.2355.
Papavassiliou, J, & Philippides, K. Gauge-invariant three-boson vertices and their Ward identities in the standard model. United States. https://doi.org/10.1103/PhysRevD.52.2355
Papavassiliou, J, and Philippides, K. Tue . "Gauge-invariant three-boson vertices and their Ward identities in the standard model". United States. https://doi.org/10.1103/PhysRevD.52.2355.
@article{osti_113020,
title = {Gauge-invariant three-boson vertices and their Ward identities in the standard model},
author = {Papavassiliou, J and Philippides, K},
abstractNote = {In the context of the standard model we extend the {ital S}-matrix pinch technique for nonconserved currents to the case of three-boson vertices. We outline in detail how effective gauge-invariant three-boson vertices can be constructed, with all three incoming momenta {ital off} {ital shell}. Explicit closed expressions for the vertices {gamma}{ital W}{sup {minus}}{ital W}{sup +}, {ital ZW}{sup {minus}}{ital W}{sup +}, and {chi}{ital W}{sup {minus}}{ital W}{sup +} are reported. The three-boson vertices so constructed satisfy naive QED-like Ward identities which relate them to the gauge-invariant gauge boson self-energies previously constructed by the same method. The derivation of the aforementioned Ward identities relies on the sole requirement of complete gauge invariance of the {ital S}-matrix element considered; in particular, no knowledge of the explicit closed form of the three-boson vertices involved is necessary. The validity of one of these Ward identities is demonstrated explicitly, through a detailed diagrammatic one-loop analysis, in the context of three different gauges.},
doi = {10.1103/PhysRevD.52.2355},
url = {https://www.osti.gov/biblio/113020}, journal = {Physical Review, D},
number = 4,
volume = 52,
place = {United States},
year = {1995},
month = {8}
}