Loopedia Record

Edge list:	(e,0\|z) (0,1\|z) (0,1\|z) (0,1\|z) (e,1\|z)
Nickel index:	e111\|e\|:zzzz\|z\|
Database path:	2/2/3/e111\|e\|/01234/zzzz\|z\|

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Orders in ε: all Reference: Closed expressions for specific massive multiloop selfenergy integrals, Z. Phys. C63 (1994) 227–234 Authors: F.A. Berends, M. Böhm, M. Buza, R. Scharf Description: The two-loop sunrise integral with three arbitrary masses is computed as a function of space-time dimension D. The result is a linear combination of Lauricella functions of type C. Submitter: bogner@math.hu-berlin.de	Record 1501195102.h4Cm added 27 Jul 2017 22:38 UTC last modified 31 Aug 2017 22:48 UTC
Orders in ε: 0 Reference: arXiv:1504.03255 Authors: Luise Adams, Christian Bogner, Stefan Weinzierl Description: The two-loop sunrise integral with three arbitrary masses is computed near 4 dimensions in the Euclidean region. The result is given in terms of an elliptic generalization of polylogarithms. Submitter: bogner@math.hu-berlin.de	Record 1501610276.YLKm added 01 Aug 2017 17:57 UTC last modified 31 Aug 2017 22:41 UTC
Orders in ε: all Reference: arXiv:1512.05630 Authors: Luise Adams, Christian Bogner, Stefan Weinzierl Description: The two-loop sunrise integral with three equal masses is computed in D = 2 dimensions in the Euclidean region to arbitrary order. The results are obtained in terms of elliptic generalizations of polylogarithms. Submitter: bogner@math.hu-berlin.de	Record 1501610510.crDo added 01 Aug 2017 18:01 UTC last modified 31 Aug 2017 22:41 UTC
Orders in ε: 0 Reference: arXiv:1112.4360 Authors: Stefan Müller-Stach, Stefan Weinzierl, Raphael Zayadeh Description: A Picard–Fuchs differential equation is derived for the two-loop sunrise integral with three arbitrary masses in D = 2 dimensions. The equation was later solved in arXiv:1302.7004 and arXiv:1405.5640. The method by which the differential equation was obtained was generalized in arXiv:1212.4389. Submitter: bogner@math.hu-berlin.de	Record 1501611166.Vp9t added 01 Aug 2017 18:12 UTC last modified 31 Aug 2017 22:42 UTC
Orders in ε: 0 Reference: arXiv:1601.08181 Authors: Spencer Bloch, Matt Kerr, Pierre Vanhove Description: The two-loop sunrise integral with three arbitrary masses is computed in D = 2 dimensions using elliptic dilogarithms. A Calabi-Yau 3-fold associated to the underlying elliptic curve is discussed. Submitter: bogner@math.hu-berlin.de	Record 1501613786.yMaN added 01 Aug 2017 18:56 UTC last modified 31 Aug 2017 22:42 UTC
Orders in ε: -2,-1,0 Reference: hep-ph/0501132 Authors: Stephen P. Martin, David G. Robertson Description: TSIL (Two-loop Self-energy Integral Library) can be obtained from https://www.niu.edu/spmartin/TSIL/ or http://faculty.otterbein.edu/DRobertson/TSIL/ Submitter: spmartin@niu.edu	Record 1561740094.yWm7 added 28 Jun 2019 16:41 UTC last modified 28 Jun 2019 16:41 UTC

If you use these results in your calculation, please also cite arXiv:1709.01266.

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