Gaugeindependent transverse and longitudinal selfenergies and vertices via the pinch technique
Abstract
In the context of the standard model we show how to apply the pinch technique to fourfermion amplitudes with nonconserved external charged currents, in order to construct to oneloop order gaugeindependent selfenergies 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 gaugeindependent [ital WW], [phi][ital W], and [phi][phi] effective selfenergies 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 gaugeindependent selfenergies and vertices. Use of these Ward identities enables the decomposition of the amplitude in manifestly gaugeindependent transverse and longitudinal structures with distinct kinematic properties. Explicit oneloop calculations are carried out, and several applications of the results are briefly discussed.
 Authors:

 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 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; STANDARD MODEL; SELFENERGY; 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. Gaugeindependent transverse and longitudinal selfenergies and vertices via the pinch technique. United States: N. p., 1994.
Web. doi:10.1103/PhysRevD.50.5958.
Papavassiliou, J. Gaugeindependent transverse and longitudinal selfenergies and vertices via the pinch technique. United States. https://doi.org/10.1103/PhysRevD.50.5958
Papavassiliou, J. Tue .
"Gaugeindependent transverse and longitudinal selfenergies and vertices via the pinch technique". United States. https://doi.org/10.1103/PhysRevD.50.5958.
@article{osti_7170840,
title = {Gaugeindependent transverse and longitudinal selfenergies 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 fourfermion amplitudes with nonconserved external charged currents, in order to construct to oneloop order gaugeindependent selfenergies 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 gaugeindependent [ital WW], [phi][ital W], and [phi][phi] effective selfenergies 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 gaugeindependent selfenergies and vertices. Use of these Ward identities enables the decomposition of the amplitude in manifestly gaugeindependent transverse and longitudinal structures with distinct kinematic properties. Explicit oneloop 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 = {05562821},
number = ,
volume = 50:9,
place = {United States},
year = {1994},
month = {11}
}