1994/06/08 by Joannis Papavassiliou · 57 citations
Physics and Astronomy · #Amplitude #Atomic and Subatomic Physics Research #Context (archaeology) #Fermion #Gauge (firearms) #Gauge boson #Gauge theory #Mathematical physics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Transverse plane #hep-ph
paper · pdf · doi:10.1103/physrevd.50.5958
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 50(9), 5958-5970 (American Physical Society) · 29 pages, NYU--TH--94/05/02
arxiv created 1994/06/08 · openalex publication_date 1994/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 W and Goldstone boson (\ensuremathφ) propagators, and derive gauge-independent WW, \ensuremathφW, and \ensuremathφ\ensuremathφ 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.