Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200

TL;DR

This paper reviews techniques for calculating one-loop electroweak radiative corrections, providing explicit formulas and results for W-boson and top quark processes at LEP200, including decay widths and production cross sections.

Contribution

It offers a comprehensive set of analytical tools and explicit results for electroweak corrections at the one-loop level, specifically applied to W-physics at LEP200.

Findings

Calculated decay widths for W-boson and top quark.

Provided analytical formulas for W-boson production cross sections.

Presented numerical results including radiative corrections.

Abstract

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 counter terms 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^{-}-annihilaton including all O(alpha) radiative corrections and finite width effects. Improved Born approximations for these processes are given.