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

Journal Article · Tue Nov 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.5958· OSTI ID:7170840

Papavassiliou, J ^[1]

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1. Department of Physics, New York University, 4 Washington Place, New York, New York 10003 (United States)

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.

• OSTI ID: 7170840
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AMPLITUDES
BOSONS
CHARGED CURRENTS
CURRENTS
ELEMENTARY PARTICLES
ENERGY
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PINCH EFFECT
POSTULATED PARTICLES
PROPAGATOR
SELF-ENERGY
STANDARD MODEL
UNIFIED GAUGE MODELS
VERTEX FUNCTIONS
W MINUS BOSONS
W PLUS BOSONS
WARD IDENTITY