Implications of nonplanar dual conformal symmetry

Chicherin, D. (0000 0001 1941 7111, PRISMA Cluster of Excellence, Johannes Gutenberg University, 55099, Mainz, Germany) ; Henn, J. (0000 0001 1941 7111, PRISMA Cluster of Excellence, Johannes Gutenberg University, 55099, Mainz, Germany) (Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805, München, Germany) ; Sokatchev, E. (0000 0001 1941 7111, PRISMA Cluster of Excellence, Johannes Gutenberg University, 55099, Mainz, Germany) (0000 0001 2224 4709, LAPTh, Université Savoie Mont Blanc, CNRS, B.P. 110, F-74941, Annecy-le-Vieux, France)

06 September 2018

Abstract: Recently, Bern et al. observed that a certain class of next-to-planar Feynman integrals possess a bonus symmetry that is closely related to dual conformal symmetry. It corresponds to a projection of the latter along a certain lightlike direction. Previous studies were performed at the level of the loop integrand, and a Ward identity for the integral was formulated. We investigate the implications of the symmetry at the level of the integrated quantities. In particular, we focus on the phenomenologically important case of five-particle scattering. The symmetry simplifies the four-variable problem to a three-variable one. In the context of the recently proposed space of pentagon functions, the symmetry is much stronger. We find that it drastically reduces the allowed function space, leading to a well-known space of three-variable functions. Furthermore, we show how to use the symmetry in the presence of infrared divergences, where one obtains an anomalous Ward identity. We verify that the Ward identity is satisfied by the leading and subleading poles of several nontrivial five-particle integrals. Finally, we present examples of integrals that possess both ordinary and dual conformal symmetry.


Published in: JHEP 1809 (2018) 012
Published by: Springer/SISSA
DOI: 10.1007/JHEP09(2018)012
arXiv: 1807.06321
License: CC-BY-4.0



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