Analytic Tools for Feynman Integrals
The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publ...
Main Author: | |
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012, 2012
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Edition: | 1st ed. 2012 |
Series: | Springer Tracts in Modern Physics
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- Feynman Integrals: Basic Definitions and Tools.-Evaluating by Alpha and Feynman Parameters
- Sector Decompositions
- Evaluating by Mellin-Barnes Representation
- Integration by Parts and Reduction to Master Integrals
- Evaluation by Differential Equations
- Evaluating Master Integrals by Dimensional Recurrence and Analyticity
- Asymptotic Expansions in Momenta and Masses
- Tables
- Some Special Functions- Summation Formulae
- Table of MB Integrals.- A Brief Review of Some Other Methods