The multi-Regge limit from the Wilson loop OPE
Abstract The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We analyze the combined multi-Regge co...
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SpringerOpen
2020-05-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP05(2020)002 |
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author | Till Bargheer Vsevolod Chestnov Volker Schomerus |
author_facet | Till Bargheer Vsevolod Chestnov Volker Schomerus |
author_sort | Till Bargheer |
collection | DOAJ |
description | Abstract The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We analyze the combined multi-Regge collinear limit in all Mandelstam regions through an analytic continuation of the Wilson loop OPE. At leading order, the former is determined by the gluon excitation of the Gubser-Klebanov-Polyakov string. We illustrate the general procedure at the example of the heptagon remainder function at two loops. In this case, the continuation of the leading order terms in the Wilson loop OPE suffices to determine the two-loop multi-Regge heptagon functions in all Mandelstam regions from their symbols. The expressions we obtain are fully consistent with recent results by Del Duca et al. |
first_indexed | 2024-12-21T03:35:08Z |
format | Article |
id | doaj.art-a68fce539f1348389aa7e27430f8b873 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-21T03:35:08Z |
publishDate | 2020-05-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-a68fce539f1348389aa7e27430f8b8732022-12-21T19:17:22ZengSpringerOpenJournal of High Energy Physics1029-84792020-05-012020516810.1007/JHEP05(2020)002The multi-Regge limit from the Wilson loop OPETill Bargheer0Vsevolod Chestnov1Volker Schomerus2Institut für Theoretische Physik, Leibniz Universität HannoverDESY Theory Group, DESY HamburgDESY Theory Group, DESY HamburgAbstract The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We analyze the combined multi-Regge collinear limit in all Mandelstam regions through an analytic continuation of the Wilson loop OPE. At leading order, the former is determined by the gluon excitation of the Gubser-Klebanov-Polyakov string. We illustrate the general procedure at the example of the heptagon remainder function at two loops. In this case, the continuation of the leading order terms in the Wilson loop OPE suffices to determine the two-loop multi-Regge heptagon functions in all Mandelstam regions from their symbols. The expressions we obtain are fully consistent with recent results by Del Duca et al.http://link.springer.com/article/10.1007/JHEP05(2020)0021/N ExpansionIntegrable Field TheoriesScattering AmplitudesSupersymmetric Gauge Theory |
spellingShingle | Till Bargheer Vsevolod Chestnov Volker Schomerus The multi-Regge limit from the Wilson loop OPE Journal of High Energy Physics 1/N Expansion Integrable Field Theories Scattering Amplitudes Supersymmetric Gauge Theory |
title | The multi-Regge limit from the Wilson loop OPE |
title_full | The multi-Regge limit from the Wilson loop OPE |
title_fullStr | The multi-Regge limit from the Wilson loop OPE |
title_full_unstemmed | The multi-Regge limit from the Wilson loop OPE |
title_short | The multi-Regge limit from the Wilson loop OPE |
title_sort | multi regge limit from the wilson loop ope |
topic | 1/N Expansion Integrable Field Theories Scattering Amplitudes Supersymmetric Gauge Theory |
url | http://link.springer.com/article/10.1007/JHEP05(2020)002 |
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