Analytic Tools for Feynman Integrals

• Main Author: Smirnov, Vladimir A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Series: Springer Tracts in Modern Physics, 250
• Subjects: Physics.; Algebra.; Field theory (Physics).; Quantum physics.; Nuclear physics.; Particle and Nuclear Physics.; Quantum Physics.; Field Theory and Polynomials.; Numerical and Computational Physics.

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...

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.