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Universität Bielefeld

Feynman integrals, hypergeometric functions and nested sums

Abstract

dc:description.abstract

In this thesis, we present analytical expansion results of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we implemented in FORM to expand these in terms of nested sums.

Degree

thesis:*
Level thesis:degree_level
thesis.doctoral
Grantor dc:publisher
Universität Bielefeld
Year
2009

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Bejdakic, Ervin

Identifiers

dc:identifier.*
Repository record source_url
https://pub.uni-bielefeld.de/record/2304683
OAI identifier oai:identifier
oai:pub.uni-bielefeld.de:2304683

Chain of custody

source
Harvested from
Universität Bielefeld
Base URL
pub.uni-bielefeld.de/oai
Last updated
2026-07-27
Source record
OAI-PMH GetRecord
citation

Bejdakic, Ervin. Feynman integrals, hypergeometric functions and nested sums. thesis.doctoral thesis, Universität Bielefeld, 2009. https://pub.uni-bielefeld.de/record/2304683