---
res:
bibo_abstract:
- Massive vacuum integrals with a single mass scale are a class of Feynman integrals
that appear in many precision calculations within the Standard Model of particle
physics and have been calculated to the 4-loop level. In this thesis I start pushing
this limit to 5 loops by considering the subclass of fully massive vacuum integrals,
which can be used to determine the β-function of Quantum Chromodynamics (QCD).
To this end I employ a method devised by Laporta for the evaluation of multi-loop
Feynman integrals based on difference equations and factorial series. Significant
improvements to this method are introduced to account for the great increase in
complexity when going from 4 to 5 loops. An implementation of the improved approach
in C ++ is then used to obtain high-precision numerical results for the integrals
needed for the 5-loop correction to the QCD β-function.@eng
bibo_authorlist:
- autoren_ansetzung:
- Luthe, Thomas
- Luthe
- Thomas Luthe
- Luthe, T
- Luthe, T.
- T Luthe
- T. Luthe
foaf_Person:
foaf_givenName: Thomas
foaf_name: Luthe, Thomas
foaf_surname: Luthe
luAuthorMark: '1'
dct_date: 2015^xs_gYear
dct_language: eng
dct_publisher: Universität Bielefeld@
dct_title: Fully massive vacuum integrals at 5 loops@
...