A symbolic summation approach to Feynman integral calculus

From MaRDI portal
Publication:432757

DOI10.1016/j.jsc.2011.12.044zbMath1242.81005arXiv1011.2656OpenAlexW2071215586MaRDI QIDQ432757

Carsten Schneider, Flavia Stan, Sebastian Klein, Johannes Blümlein

Publication date: 4 July 2012

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2656




Related Items

Analytic computing methods for precision calculations in quantum field theoryThe method of arbitrarily large moments to calculate single scale processes in quantum field theoryThe heavy fermion contributions to the massive three loop form factorsHypergeometric structures in Feynman integrals\texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithmsAutomated solution of first order factorizable systems of differential equations in one variableA difference ring theory for symbolic summationAlgorithms to evaluate multiple sums for loop computationsAnalytic and algorithmic aspects of generalized harmonic sums and polylogarithmsIntegral representations of equally positive integer-indexed harmonic sums at infinityThe \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix elementCalculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithmsFeynman integrals as A-hypergeometric functionsHarmonic Sums, Polylogarithms,Special Numbers, and Their GeneralizationsSimplifying Multiple Sums in Difference FieldsAnalytic Integration Methods in Quantum Field Theory: An IntroductionExtensions of the AZ-Algorithm and the Package MultiIntegrateTerm Algebras, Canonical Representations and Difference Ring Theory for Symbolic SummationThe SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals


Uses Software


Cites Work