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New series representations for the two-loop massive sunset diagram

Ananthanarayan, B and Friot, S and Ghosh, S (2020) New series representations for the two-loop massive sunset diagram. In: European Physical Journal C, 80 (7).

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Official URL: https://dx.doi.org/10.1140/epjc/s10052-020-8131-3


We derive new convergent series representations for the two-loop sunset diagram with three different propagator masses m1,m2 and m3 and external momentum p by techniques of analytic continuation on a well-known triple series that corresponds to the Lauricella FC(3) function. The convergence regions of the new series contain regions of interest to physical problems. These include some ranges of masses and squared external momentum values which make them useful from Chiral Perturbation Theory to some regions of the parameter space of the Minimal Supersymmetric Standard Model. The analytic continuation results presented for the Lauricella series could be used in other settings as well. © 2020, The Author(s).

Item Type: Journal Article
Publication: European Physical Journal C
Publisher: Springer
Additional Information: The copyright of this article belongs to Springer
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 24 Aug 2020 11:23
Last Modified: 24 Aug 2020 11:23
URI: http://eprints.iisc.ac.in/id/eprint/66045

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