| Article | |
| Report number | HU-EP-11-22 ; CERN-PH-TH-2011-105 ; SLAC-PUB-14458 ; LAPTH-016-11 ; DCPT-11-42 ; NSF-KITP-11-072 ; arXiv:1105.2011 ; IPPP-11-21 ; HU-EP-11-22 ; CERN-PH-TH-2011-105 ; SLAC-PUB-14458 ; LAPTH-016-11 ; IPPP-11-21 ; DCPT-11-42 ; NSF-KITP-11-072 |
| Title | The one-loop six-dimensional hexagon integral with three massive corners |
| Author(s) | Del Duca, Vittorio (Unlisted, IT ; KIPAC, Menlo Park) ; Dixon, Lance J. (SLAC ; CERN) ; Drummond, James M. (CERN ; Annecy, LAPTH) ; Duhr, Claude (Durham U., IPPP ; KIPAC, Menlo Park) ; Henn, Johannes M. (Humboldt U., Berlin ; KIPAC, Menlo Park) ; Smirnov, Vladimir A. (Lomonosov Moscow State U.) |
| Publication | 2011 |
| Imprint | 11 May 2011 |
| Number of pages | 15 |
| Note | Comments: 15 pages, 2 figures 15 pages, 2 figures |
| In: | Phys. Rev. D 84 (2011) 045017 |
| DOI | 10.1103/PhysRevD.84.045017 |
| Subject category | Particle Physics - Theory ; Astrophysics and Astronomy |
| Abstract | We compute the six-dimensional hexagon integral with three non-adjacent external masses analytically. After a simple rescaling, it is given by a function of six dual conformally invariant cross-ratios. The result can be expressed as a sum of 24 terms involving only one basic function, which is a simple linear combination of logarithms, dilogarithms, and trilogarithms of uniform degree three transcendentality. Our method uses differential equations to determine the symbol of the function, and an algorithm to reconstruct the latter from its symbol. It is known that six-dimensional hexagon integrals are closely related to scattering amplitudes in N=4 super Yang-Mills theory, and we therefore expect our result to be helpful for understanding the structure of scattering amplitudes in this theory, in particular at two loops. |
| Copyright/License | Preprint: © 2011-2025 CERN (License: CC-BY-3.0) |
Corresponding record in: Inspire
Element opprettet 2011-05-11, sist endret 2021-05-20
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