Gauge-invariant self-energies and vertex parts of the standard model in the pinch technique framework

Journal Article · Thu Oct 01 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.3104· OSTI ID:7258648

Degrassi, G; Sirlin, A ^[1]

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

The pinch technique (PT) is applied to obtain one-loop gauge-invariant self-energies, vertex and box diagrams in the electroweak sector of the standard model. Describing the interaction of vector bosons with fermions in terms of current correlation functions, we propose to directly identify the pinch parts with the contributions of equal-time commutators in the relevant Ward identities. We argue that this procedure isolates the parts of vertex and box diagrams that are independent of strong interaction dynamics. The formalism promptly leads us to very simple gauge-invariant transverse self-energies, as well as vertex and box diagrams relevant to four-fermion processes mediated by charged and neutral currents. They automatically possess very desirable theoretical properties. We then apply the PT to {ital e}{sup +}{ital e{minus}} {r arrow}{ital W}{sup +}{ital W{minus}} and explicitly demonstrate that the propagatorlike pinch parts are absorbed in the same self-energies encountered in the four-fermion case. The PT self-energies and vertex corrections are compared with those obtained in other formulations. A number of applications are discussed, including the possibility of a gauge-invariant on-shell definition of the vector-boson mass.

• OSTI ID: 7258648
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:7; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662210* -- Specific Theories & Interaction Models
662220 -- Quantum Electrodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
BOSONS
CHARGED-CURRENT INTERACTIONS
CORRELATION FUNCTIONS
ELECTROMAGNETIC INTERACTIONS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORIES
FOUR-BODY PROBLEM
FUNCTIONS
GAUGE INVARIANCE
INTERACTIONS
INTERMEDIATE BOSONS
INTERMEDIATE VECTOR BOSONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LEPTON-LEPTON INTERACTIONS
MANY-BODY PROBLEM
MASS
MATHEMATICAL MODELS
NEUTRAL-CURRENT INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PROPAGATOR
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
SELF-ENERGY
STANDARD MODEL
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
W MINUS BOSONS
W PLUS BOSONS
WARD IDENTITY
WEINBERG-SALAM GAUGE MODEL