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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

An analytic approach to sunset diagrams in chiral perturbation theory : Theory and practice

Author

  • B. Ananthanarayan
  • Johan Bijnens
  • Shayan Ghosh
  • Aditya Hebbar

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

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