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

Research output: Contribution to journalArticle

Abstract

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.

Details

Authors
Organisations
External organisations
  • Indian Institute of Science
  • University of Delaware
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Subatomic Physics
Original languageEnglish
Article number374
JournalEuropean Physical Journal A
Volume52
Issue number12
Publication statusPublished - 2016 Dec 1
Publication categoryResearch
Peer-reviewedYes