The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
Abstract We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2 → 5 amplitude in planar N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft lim...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)116 |
| _version_ | 1819022585491357696 |
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| author | Vittorio Del Duca Stefan Druc James Drummond Claude Duhr Falko Dulat Robin Marzucca Georgios Papathanasiou Bram Verbeek |
| author_facet | Vittorio Del Duca Stefan Druc James Drummond Claude Duhr Falko Dulat Robin Marzucca Georgios Papathanasiou Bram Verbeek |
| author_sort | Vittorio Del Duca |
| collection | DOAJ |
| description | Abstract We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2 → 5 amplitude in planar N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. After promoting the known symbol of the 2-loop N -particle MHV amplitude in this region to a function, we specialize to N = 7, and extract from it the next-to-leading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the well-studied six-gluon case. As an application of our results, we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively. |
| first_indexed | 2024-12-21T04:25:20Z |
| format | Article |
| id | doaj.art-8bb17fc94be34abaa480b0f5a919ae73 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T04:25:20Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8bb17fc94be34abaa480b0f5a919ae732022-12-21T19:16:04ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018615710.1007/JHEP06(2018)116The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracyVittorio Del Duca0Stefan Druc1James Drummond2Claude Duhr3Falko Dulat4Robin Marzucca5Georgios Papathanasiou6Bram Verbeek7Institute for Theoretical Physics, ETH ZürichSchool of Physics & Astronomy, University of SouthamptonSchool of Physics & Astronomy, University of SouthamptonTheoretical Physics Department, CERNSLAC National Accelerator Laboratory, Stanford UniversityCenter for Cosmology, Particle Physics and Phenomenology (CP3), Université Catholique de LouvainDESY Theory Group, DESY HamburgCenter for Cosmology, Particle Physics and Phenomenology (CP3), Université Catholique de LouvainAbstract We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2 → 5 amplitude in planar N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. After promoting the known symbol of the 2-loop N -particle MHV amplitude in this region to a function, we specialize to N = 7, and extract from it the next-to-leading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the well-studied six-gluon case. As an application of our results, we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively.http://link.springer.com/article/10.1007/JHEP06(2018)1161/N ExpansionExtended SupersymmetryScattering AmplitudesSupersymmetric Gauge Theory |
| spellingShingle | Vittorio Del Duca Stefan Druc James Drummond Claude Duhr Falko Dulat Robin Marzucca Georgios Papathanasiou Bram Verbeek The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy Journal of High Energy Physics 1/N Expansion Extended Supersymmetry Scattering Amplitudes Supersymmetric Gauge Theory |
| title | The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy |
| title_full | The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy |
| title_fullStr | The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy |
| title_full_unstemmed | The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy |
| title_short | The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy |
| title_sort | seven gluon amplitude in multi regge kinematics beyond leading logarithmic accuracy |
| topic | 1/N Expansion Extended Supersymmetry Scattering Amplitudes Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP06(2018)116 |
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