Gauge Invariant three Boson Vertices and their Ward Identities in the Standard Model

Abstract

In the context of the Standard Model we extend the S--matrix pinch technique for non--conserved currents to the case of three boson vertices. We outline in detail how effective gauge invariant three boson vertices can be constructed, with all three incoming momenta {\it off--shell}. Explicit closed expressions for the vertices $\gamma W^{-}{W}^{+}$, $Z{W}^{-}{W}^{+}$, and $\chi W^{-}{W}^{+}$ are reported. The three boson vertices so constructed satisfy naive QED--like Ward identities which relate them to the gauge invariant gauge boson self--energies previously constructed by the same method. The derivation of the aforementioned Ward identities relies on the sole requirement of complete gauge invariance of the S--matrix element considered; in particular, no knowledge of the explicit closed form of the three boson vertices involved is necessary.The validity of one of these Ward identities is demonstrated explicitly, through a detailed diagrammatic one-loop analysis, in the context of three different gauges.

37 pages and 13 figures all included in a uucoded file

References in corpus (10)

• Novel Approach to Confront Electroweak Data and Theory
• Gauge Invariance of Green Functions: Background-Field Method versus Pinch Technique
• The Background Field Method: Alternative Way of Deriving the Pinch Technique's Results
• Gauge Invariant Three-Boson Vertices in the Standard Model and the Static Properties of the W
• On the connection between the pinch technique and the background field method
• Gauge independent transverse and longitudinal self-energies and vertices via the pinch technique
• Universality of the Pinch Technique Gauge Boson Self-Energies
• Gauge invariant top quark form factors from e+ e- experiments
• Renormalizable W Self-Energy in the Unitary Gauge via the Pinch Technique
• W + gamma + jet production as a test of the electromagnetic couplings of W at LHC and SSC

Cited by in corpus (22)

• Generalized Pinch Technique and the Background Field Method in General Gauges
• A Gauge-Independent Approach to Resonant Transition Amplitudes
• Gauge-Invariant Resummation Formalism for Two-Point Correlation Functions
• Low-Energy Constraints on New Physics Revisited
• The Form Factors of the Gauge-Invariant Three-Gluon Vertex
• Probing nonstandard bosonic interactions via W-boson pair production at lepton colliders
• Electroweak Effective Charges and their relation to Physical Cross Sections
• SU_L(2) X U_Y(1)-invariant description of the bilepton contribution to the WWV vertex in the minimal 331 model
• Application of the Pinch Technique to Neutral Current Amplitudes and the Concept of the Z Mass
• One-loop effects of extra dimensions on the WWγand WWZ vertices
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory via the Pinch Technique
• The Massive Yang-Mills Model and Diffractive Scattering
• The Pinch Technique Beyond One Loop: The Gauge-Independent Two-Loop Quark Self-Energy
• Gauge-independent Thermal $\beta$ Function In Yang-Mills Theory
• Trilinear gauge boson couplings in the standard model with one universal extra dimension
• Consistency Condition for the Pinch Technique Self-Energies at Two Loops
• Two-loop electroweak corrections to the $\rho$ parameter beyond the leading approximation
• The Gluon Self-Energy in the Coulomb and Temporal Axial Gauges via the Pinch Technique
• Gauge-independent resummed gluon self-energy in hot QCD
• Asymptotic properties of Born-improved amplitudes with gauge bosons in the final state
• The dual gauge fixing property of the S matrix
• Contributions of LEP1.5, LEP2 and linear-collider data to indirect constraints on non-Abelian gauge-boson couplings