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

Ananthanarayan, B and Bijnens, Johan and Ghosh, Shayan and Hebbar, Aditya (2016) An analytic approach to sunset diagrams in chiral perturbation theory: Theory and practice. In: EUROPEAN PHYSICAL JOURNAL A, 52 (12).

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Official URL: http://dx.doi.org/10.1140/epja/i2016-16374-8

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.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 09 Feb 2017 05:38
Last Modified: 09 Feb 2017 05:38
URI: http://eprints.iisc.ernet.in/id/eprint/56217

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