Calculation of massless Feynman integrals using harmonic sums
type: Item
instance of: scholarly article
title: Calculation of massless Feynman integrals using harmonic sums
zbMATH Open document ID: 1196.81047
author: Stefan Bekavac
published in: Computer Physics Communications
publication date: 2010-10-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-ph/0505174
Mathematics Subject Classification ID: 81-08
Mathematics Subject Classification ID: 81Q30
zbMATH DE Number: 5801665
zbMATH Keywords: multi-loop Feynman integrals
zbMATH Keywords: Gegenbauer polynomial technique
zbMATH Keywords: harmonic sums
zbMATH Keywords: nested sums
zbMATH Keywords: convergence acceleration
describes a project that uses: rhad
describes a project that uses: XSummer
describes a project that uses: FORM
describes a project that uses: Hypexp
MaRDI profile type: Publication
OpenAlex ID: W2020597519
arXiv ID: hep-ph/0505174
cites work: LECTURES ON MULTILOOP CALCULATIONS
cites work: Evaluating Feynman integrals.
cites work: Knots and Numbers in ϕ4 Theory to 7 Loops and Beyond
cites work: The Gegenbauer polynomial technique: The evaluation of a class of Feynman diagrams
cites work: The massless two-loop two-point function
cites work: Numerical evaluation of multi-loop integrals by sector decomposition
cites work: HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
cites work: Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
cites work: Q3999269
cites work: Q5341895
cites work: Algebraic relations between harmonic sums and associated quantities.
cites work: Expansion around half-integer values, binomial sums, and inverse binomial sums
cites work: Algorithm 719: Multiprecision translation and execution of FORTRAN programs
cites work: Q5687942
cites work: Analysis of PSLQ, an integer relation finding algorithm
cites work: Parallel integer relation detection: techniques and applications
cites work: Q5824493
cites work: Q5559954
cites work: XSummer -- transcendental functions and symbolic summation in form
cites work: Hypexp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
DOI: 10.1016/J.CPC.2006.02.004
description: scientific article