Analytic integration methods in quantum field theory: an Introduction
J. Bl\"umlein
TL;DR
This paper surveys current analytic calculation methods and mathematical structures of Feynman amplitudes in higher-order perturbative quantum field theory, focusing on their applications in the Standard Model and related theories.
Contribution
It provides a comprehensive overview of the mathematical structures and analytic techniques used in calculating Feynman amplitudes in quantum field theory.
Findings
Summarizes the status of analytic calculation methods.
Highlights mathematical structures of Feynman amplitudes.
Discusses applications in the Standard Model and extensions.
Abstract
A survey is given on the present status of analytic calculation methods and the mathematical structures of zero- and single scale Feynman amplitudes which emerge in higher order perturbative calculations in the Standard Model of elementary particles, its extensions and associated model field theories, including effective field theories of different kind.
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