Techniques for the Calculation of Electroweak Radiative Corrections at the One‐Loop Level and Results for W‐physics at LEP 200

By Ansgar Denner. 2007

971 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e6ed04a37ce9114b3c3aba274907ba80f49b7930

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In Astronomy and Astrophysics

1. Atlas Collaboration
2. Gudrun Heinrich
3. Stefan Dittmaier
4. Ansgar Denner
5. Valentin Hirschi
6. P. Nason
7. M. Schönherr
8. E. Re

In Nuclear and High Energy Physics

1. Atlas Collaboration
2. Cms Collaboration
3. Gudrun Heinrich
4. M. Schönherr
5. Ansgar Denner
6. Stefan Dittmaier
7. Fabio Maltoni
8. F. Krauss

Citations in the corpus

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• Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, methodology): “[516], or in the complex-mass scheme, based on Ref.”
• Pinch Technique: Theory and Applications (2009, background): “It is easy to establish from the closed expressions reported in [97] that Π AZ (0) = 0 and Π̂ (ff̄) AZ (0) = 0.”
• Les Houches 2013: Physics at TeV Colliders: Standard Model Working Group Report (2014, background): “where ∆r(1) is the NLO EW correction to muon decay [120, 122].”
• Testing electroweak baryogenesis with future colliders (2014, neutral): “5)% [92–94].”
• Weak corrections to Higgs hadroproduction in association with a top-quark pair (2014, methodology): “implements the Gμ scheme [53, 54] (where the input parameters are GF , measured in μ decays, mZ , andmW ); masses and wave functions are renormalised on-shell.”
• Gluon-induced Higgs-strahlung at next-to-leading order QCD (2012, methodology): “[67] for the SM parameters and Feynman rules.”