An analytic approach to sunset diagrams in chiral perturbation theory : Theory and practice
Ananthanarayan, B. ; Bijnens, Johan LU
; Ghosh, Shayan
and Hebbar, Aditya
(2016)
In European Physical Journal A
52(12).
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/9c686d46-1d79-4a71-be2e-4f5fa2817aaa
- author
- Ananthanarayan, B.
; Bijnens, Johan
LU
; Ghosh, Shayan
and Hebbar, Aditya
- organization
- publishing date
- 2016-12-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- European Physical Journal A
- volume
- 52
- issue
- 12
- article number
- 374
- publisher
- Springer
- external identifiers
-
- wos:000391427500002
- scopus:85007416059
- ISSN
- 1434-6001
- DOI
- 10.1140/epja/i2016-16374-8
- language
- English
- LU publication?
- yes
- id
- 9c686d46-1d79-4a71-be2e-4f5fa2817aaa
- date added to LUP
- 2017-01-13 10:09:18
- date last changed
- 2024-04-05 14:39:49
@article{9c686d46-1d79-4a71-be2e-4f5fa2817aaa,
abstract = {{<p>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.</p>}},
author = {{Ananthanarayan, B. and Bijnens, Johan and Ghosh, Shayan and Hebbar, Aditya}},
issn = {{1434-6001}},
language = {{eng}},
month = {{12}},
number = {{12}},
publisher = {{Springer}},
series = {{European Physical Journal A}},
title = {{An analytic approach to sunset diagrams in chiral perturbation theory : Theory and practice}},
url = {{http://dx.doi.org/10.1140/epja/i2016-16374-8}},
doi = {{10.1140/epja/i2016-16374-8}},
volume = {{52}},
year = {{2016}},
}