Johan Bijnens
Professor, Deputy Head of Division
An analytic approach to sunset diagrams in chiral perturbation theory : Theory and practice
Author
Summary, in English
We demonstrate the use of several code implementations of the Mellin-Barnes method available in the public domain to derive analytic expressions for the sunset diagrams that arise in the two-loop contribution to the pion mass and decay constant in three-flavoured chiral perturbation theory. We also provide results for all possible two mass configurations of the sunset integral, and derive a new one-dimensional integral representation for the one mass sunset integral with arbitrary external momentum. Thoroughly annotated Mathematica notebooks are provided as ancillary files in the Electronic Supplementary Material to this paper, which may serve as pedagogical supplements to the methods described in this paper.
Department/s
- Theoretical Particle Physics - Has been reorganised
Publishing year
2016-12-01
Language
English
Publication/Series
European Physical Journal A
Volume
52
Issue
12
Document type
Journal article
Publisher
Springer
Topic
- Subatomic Physics
Status
Published
ISBN/ISSN/Other
- ISSN: 1434-6001