Implications of nonplanar dual conformal symmetry
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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-09-01
|
Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)012 |
id |
doaj-19385c44390c4e20946d1c12b68bc9b7 |
---|---|
record_format |
Article |
spelling |
doaj-19385c44390c4e20946d1c12b68bc9b72020-11-24T21:49:21ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018912710.1007/JHEP09(2018)012Implications of nonplanar dual conformal symmetryD. Chicherin0J. M. Henn1E. Sokatchev2PRISMA Cluster of Excellence, Johannes Gutenberg UniversityPRISMA Cluster of Excellence, Johannes Gutenberg UniversityPRISMA Cluster of Excellence, Johannes Gutenberg UniversityAbstract 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.http://link.springer.com/article/10.1007/JHEP09(2018)012Anomalies in Field and String TheoriesConformal and W SymmetryScattering Amplitudes |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
D. Chicherin J. M. Henn E. Sokatchev |
spellingShingle |
D. Chicherin J. M. Henn E. Sokatchev Implications of nonplanar dual conformal symmetry Journal of High Energy Physics Anomalies in Field and String Theories Conformal and W Symmetry Scattering Amplitudes |
author_facet |
D. Chicherin J. M. Henn E. Sokatchev |
author_sort |
D. Chicherin |
title |
Implications of nonplanar dual conformal symmetry |
title_short |
Implications of nonplanar dual conformal symmetry |
title_full |
Implications of nonplanar dual conformal symmetry |
title_fullStr |
Implications of nonplanar dual conformal symmetry |
title_full_unstemmed |
Implications of nonplanar dual conformal symmetry |
title_sort |
implications of nonplanar dual conformal symmetry |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-09-01 |
description |
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. |
topic |
Anomalies in Field and String Theories Conformal and W Symmetry Scattering Amplitudes |
url |
http://link.springer.com/article/10.1007/JHEP09(2018)012 |
work_keys_str_mv |
AT dchicherin implicationsofnonplanardualconformalsymmetry AT jmhenn implicationsofnonplanardualconformalsymmetry AT esokatchev implicationsofnonplanardualconformalsymmetry |
_version_ |
1725887910588186624 |