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Implications of nonplanar dual conformal symmetry

Journal of High Energy Physics volume 2018, Article number: 12 (2018) Cite this article

A preprint version of the article is available at arXiv.

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.

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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Affiliations

  1. PRISMA Cluster of Excellence, Johannes Gutenberg University, 55099, Mainz, Germany

    D. Chicherin, J. M. Henn & E. Sokatchev

  2. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805, München, Germany

    J. M. Henn

  3. LAPTh, Université Savoie Mont Blanc, CNRS, B.P. 110, F-74941, Annecy-le-Vieux, France

    E. Sokatchev

Authors
  1. D. Chicherin
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  2. J. M. Henn
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  3. E. Sokatchev
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Correspondence to E. Sokatchev.

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ArXiv ePrint: 1807.06321

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Chicherin, D., Henn, J.M. & Sokatchev, E. Implications of nonplanar dual conformal symmetry. J. High Energ. Phys. 2018, 12 (2018). https://doi.org/10.1007/JHEP09(2018)012

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  • DOI: https://doi.org/10.1007/JHEP09(2018)012

Keywords

  • Anomalies in Field and String Theories
  • Conformal and W Symmetry
  • Scattering Amplitudes