Non-invariant two-loop counterterms for the three-gauge-boson vertices

Abstract

Some practical applications of algebraic renormalization are discussed. In particular we consider the two-loop QCD corrections to the three-gauge-boson vertices involving photons, Z and W bosons. For this purpose also the corresponding two-point functions have to be discussed. A recently developed procedure is used to analyze the breaking terms of the functional identities and explicit formulae for the universal counterterms are provided. Special attention is devoted to the treatment of infra-red divergences.

Some minor corrections and improved discussion in the one-loop section

References in corpus (7)

• Facts of life with gamma(5)
• Gauge Invariance of Green Functions: Background-Field Method versus Pinch Technique
• The fermion-loop scheme for finite-width effects in e^+ e^- annihilation into four fermions
• The Renormalization of the Electroweak Standard Model to All Orders
• Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
• Radiative Corrections to W and Quark Propagators in the Resonance Region
• Direct Algebraic Restoration of Slavnov-Taylor Identities in the Abelian Higgs-Kibble Model

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• Super Background Field Method for N=2 SYM
• A BPHZ convergence proof in Euclidean position space
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