Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-07-20
Annals Phys. 288 (2001) 197-248
Physics
High Energy Physics
High Energy Physics - Phenomenology
version to be published in Annals of Physics
Scientific paper
10.1006/aphy.2001.6117
A practical approach is presented which allows the use of a non-invariant regularization scheme for the computation of quantum corrections in perturbative quantum field theory. The theoretical control of algebraic renormalization over non-invariant counterterms is translated into a practical computational method. We provide a detailed introduction into the handling of the Slavnov-Taylor and Ward-Takahashi identities in the Standard Model both in the conventional and the background gauge. Explicit examples for their practical derivation are presented. After a brief introduction into the Quantum Action Principle the conventional algebraic method which allows for the restoration of the functional identities is discussed. The main point of our approach is the optimization of this procedure which results in an enormous reduction of the calculational effort. The counterterms which have to be computed are universal in the sense that they are independent of the regularization scheme. The method is explicitly illustrated for two processes of phenomenological interest: QCD corrections to the decay of the Higgs boson into two photons and two-loop electroweak corrections to the process $B \to X_s \gamma$.
Grassi Pietro Antonio
Hurth Tobias
Steinhauser Matthias
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