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), Vol. 46:7; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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