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Techniques for the Calculation of Electroweak Radiative Corrections at the One‐Loop Level and Results for W ‐physics at LEP 200
Author(s) -
Denner A.
Publication year - 1993
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190410402
Subject(s) - electroweak interaction , physics , feynman diagram , particle physics , dimensional regularization , renormalization , boson , radiative transfer , scalar (mathematics) , annihilation , fermion , standard model (mathematical formulation) , higgs boson , quantum chromodynamics , mathematical physics , quantum mechanics , mathematics , geometry , archaeology , gauge (firearms) , history
We review the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the one‐loop level. In particular we describe renormalization, calculation of one‐loop integrals and evaluation of one‐loop Feynman amplitudes. We summarize many explicit results of general relevance. We give the Feynman rules and the explicit form of the counterterms of the electroweak standard model, we list analytical expressions for scalar one‐loop integrals and reduction of tensor integrals, we present the decomposition of the invariant matrix element for processes with two external fermions and we give the analytic form of soft photonic corrections. These techniques are applied to physical processes with external W ‐bosons. We present the full set of analytical formulae and the corresponding numerical results for the decay width of the W ‐boson and the top quark. We discuss the cross section for the production of W ‐bosons in e + e − annihilation including all O(x) radiative corrections and finite width effects. Improved Born approximations for these processes are given.