| Article | |
| Report number | arXiv:1809.10698 ; CP3-18-58 ; CERN-TH-2018-211 ; HU-Mathematik-2018-09 ; HU-EP-18/29 ; SLAC-PUB-17336 |
| Title | Elliptic Feynman integrals and pure functions |
| Author(s) | Broedel, Johannes (Humboldt U., Berlin) ; Duhr, Claude (CERN ; Louvain U., CP3) ; Dulat, Falko (SLAC) ; Penante, Brenda (CERN) ; Tancredi, Lorenzo (CERN) |
| Publication | 2019-01-03 |
| Imprint | 2018-09-27 |
| Number of pages | 47 |
| Note | 47 pages |
| In: | JHEP 1901 (2019) 023 |
| DOI | 10.1007/JHEP01(2019)023 |
| Subject category | hep-th ; Particle Physics - Theory |
| Abstract | We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term. We investigate several non-trivial elliptic two-loop Feynman integrals with up to three external legs and express them in terms of our functions. We observe that in all cases they evaluate to pure combinations of elliptic multiple polylogarithms of uniform weight. This is the first time that a notion of uniform weight is observed in the context of Feynman integrals that evaluate to elliptic polylogarithms. |
| Copyright/License | publication: (License: CC-BY-4.0) preprint: (License: arXiv nonexclusive-distrib 1.0) |
Corresponding record in: Inspire
Record created 2018-10-16, last modified 2024-10-01
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