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

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An analytic approach to sunset diagrams in chiral perturbation theory : Theory and practice. / Ananthanarayan, B.; Bijnens, Johan; Ghosh, Shayan; Hebbar, Aditya.

In: European Physical Journal A, Vol. 52, No. 12, 374, 01.12.2016.

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TY - JOUR

T1 - An analytic approach to sunset diagrams in chiral perturbation theory

T2 - Theory and practice

AU - Ananthanarayan, B.

AU - Bijnens, Johan

AU - Ghosh, Shayan

AU - Hebbar, Aditya

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

U2 - 10.1140/epja/i2016-16374-8

DO - 10.1140/epja/i2016-16374-8

M3 - Article

AN - SCOPUS:85007416059

VL - 52

JO - European Physical Journal A. Hadrons and Nuclei

JF - European Physical Journal A. Hadrons and Nuclei

SN - 1434-6001

IS - 12

M1 - 374

ER -