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Title: Gauge-independent transverse and longitudinal self-energies and vertices via the pinch technique

Abstract

In the context of the standard model we show how to apply the pinch technique to four-fermion amplitudes with nonconserved external charged currents, in order to construct to one-loop order gauge-independent self-energies and vertices. We discuss the technical difficulties arising due to the presence of longitudinal contributions from the [ital W] and Goldstone boson ([phi]) propagators, and derive gauge-independent [ital WW], [phi][ital W], and [phi][phi] effective self-energies and vertices. The quantities so constructed satisfy a set of Ward identities, whose validity enforces the gauge invariance of the physical amplitude considered; their derivation does not require knowledge of the explicit closed form of the gauge-independent self-energies and vertices. Use of these Ward identities enables the decomposition of the amplitude in manifestly gauge-independent transverse and longitudinal structures with distinct kinematic properties. Explicit one-loop calculations are carried out, and several applications of the results are briefly discussed.

Authors:
 [1]
  1. Department of Physics, New York University, 4 Washington Place, New York, New York 10003 (United States)
Publication Date:
OSTI Identifier:
7170840
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 50:9; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; STANDARD MODEL; SELF-ENERGY; VERTEX FUNCTIONS; AMPLITUDES; CHARGED CURRENTS; FERMIONS; GAUGE INVARIANCE; GOLDSTONE BOSONS; PINCH EFFECT; PROPAGATOR; W MINUS BOSONS; W PLUS BOSONS; WARD IDENTITY; ALGEBRAIC CURRENTS; BOSONS; CURRENTS; ELEMENTARY PARTICLES; ENERGY; FUNCTIONS; INTERMEDIATE BOSONS; INTERMEDIATE VECTOR BOSONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; PARTICLE MODELS; POSTULATED PARTICLES; UNIFIED GAUGE MODELS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-); 662310 - Weak & Electromagnetic Interactions of Leptons- (1992-); 662440 - Properties of Other Particles Including Hypothetical Particles- (1992-)

Citation Formats

Papavassiliou, J. Gauge-independent transverse and longitudinal self-energies and vertices via the pinch technique. United States: N. p., 1994. Web. doi:10.1103/PhysRevD.50.5958.
Papavassiliou, J. Gauge-independent transverse and longitudinal self-energies and vertices via the pinch technique. United States. https://doi.org/10.1103/PhysRevD.50.5958
Papavassiliou, J. Tue . "Gauge-independent transverse and longitudinal self-energies and vertices via the pinch technique". United States. https://doi.org/10.1103/PhysRevD.50.5958.
@article{osti_7170840,
title = {Gauge-independent transverse and longitudinal self-energies and vertices via the pinch technique},
author = {Papavassiliou, J},
abstractNote = {In the context of the standard model we show how to apply the pinch technique to four-fermion amplitudes with nonconserved external charged currents, in order to construct to one-loop order gauge-independent self-energies and vertices. We discuss the technical difficulties arising due to the presence of longitudinal contributions from the [ital W] and Goldstone boson ([phi]) propagators, and derive gauge-independent [ital WW], [phi][ital W], and [phi][phi] effective self-energies and vertices. The quantities so constructed satisfy a set of Ward identities, whose validity enforces the gauge invariance of the physical amplitude considered; their derivation does not require knowledge of the explicit closed form of the gauge-independent self-energies and vertices. Use of these Ward identities enables the decomposition of the amplitude in manifestly gauge-independent transverse and longitudinal structures with distinct kinematic properties. Explicit one-loop calculations are carried out, and several applications of the results are briefly discussed.},
doi = {10.1103/PhysRevD.50.5958},
url = {https://www.osti.gov/biblio/7170840}, journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 50:9,
place = {United States},
year = {1994},
month = {11}
}