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

doi:https://doi.org/10.1103/PhysRevD.52.2355

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

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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:

Papavassiliou, J; Philippides, K ^[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:: 1995-08-15

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.

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                    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

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                    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.

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@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}

}

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