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renormalization group equations

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3 - Weak Decays at Tree Level
from Part III - Weak Decays in the StandardModel
Andrzej J. Buras, Technische Universität München
Book:

Gauge Theory of Weak Decays

Published online:

11 June 2020

Print publication:

02 July 2020, pp 87-102
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Summary

This chapter presents the technology of quantum field theory at the one-loop level including general comments and results of two and higher loop calculationsthat we will need later on. The main goal here isthe presentation of the dimensional regularization and the development of the technologyfor one-loop calculations. The next goal isthe presentation of therenormalization and the renormalization group methods. While our presentation is rather general, we will show explicit results only in QCD and QED. The case of the renormalization of electroweak interactions willbe discussed briefly. One of the important results of this chapter will be the collection of integrals necessary not only to performthe renormalization of QED and QCD but also those that will be crucial for one-loop calculations at all stages of our expedition. We collected these integrals in an appendix.