Evaluating the 6-point Remainder Function Near the Collinear Limit
arXiv:1406.1123 · doi:10.1142/S0217751X14501541
Abstract
The simplicity of maximally supersymmetric Yang-Mills theory makes it an ideal theoretical laboratory for developing computational tools, which eventually find their way to QCD applications. In this contribution, we continue the investigation of a recent proposal by Basso, Sever and Vieira, for the nonperturbative description of its planar scattering amplitudes, as an expansion around collinear kinematics. The method of arXiv:1310.5735, for computing the integrals the latter proposal predicts for the leading term in the expansion of the 6-point remainder function, is extended to one of the subleading terms. In particular, we focus on the contribution of the 2-gluon bound state in the dual flux tube picture, proving its general form at any order in the coupling, and providing explicit expressions up to 6 loops. These are included in the ancillary file accompanying the version of this article on the arXiv.
6 pages, 1 figure, 1 ancillary file; based on talk given at Moriond QCD 2014. v2: typo corrections, addition of an appendix on the contribution of two same-helicity gluons; to appear in Int.J.Mod.Phys. A