The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy

Del Duca, Vittorio; Druc, Stefan; Drummond, James; Duhr, Claude; Dulat, Falko; Marzucca, Robin; Papathanasiou, Georgios; Verbeek, Bram

doi:10.1007/jhep06(2018)116

Title: The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy

Journal Article · 21 June 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep06(2018)116 · OSTI ID:1443996

Del Duca, Vittorio ^[1]; Druc, Stefan ^[2]; Drummond, James ^[2]; Duhr, Claude ^[3]; Dulat, Falko ^[4]; Marzucca, Robin ^[5]; Papathanasiou, Georgios ^[6]; Verbeek, Bram ^[5]

Swiss Federal Inst. of Technology in Zurich (ETH Zurich) (Switzerland). Inst. for Theoretical Physics
Univ. of Southampton (United Kingdom). School of Physics & Astronomy
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.; Univ. of Louvain (UCL), Louvain-la-Neuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of Louvain (UCL), Louvain-la-Neuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). DESY Theory Group

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 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.

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. of Louvain (UCL), Louvain-la-Neuve (Belgium); European Organization for Nuclear Research (CERN), Geneva (Switzerland)

Sponsoring Organization:: USDOE; European Research Council (ERC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1443996

Report Number(s):: SLAC-PUB--17220; PII: 8482

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 6 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Bootstrapping an NMHV amplitude through three loops Dixon, Lance J.; von Hippel, Matt arXiv https://doi.org/10.48550/arxiv.1408.1505	text	January 2014
OPE for all Helicity Amplitudes Basso, Benjamin; Caetano, Joao; Cordova, Lucia arXiv https://doi.org/10.48550/arxiv.1412.1132	text	January 2014
Six-point remainder function in multi-Regge-kinematics: an efficient approach in momentum space Broedel, Johannes; Sprenger, Martin arXiv https://doi.org/10.48550/arxiv.1512.04963	preprint	January 2015
The Two-Loop Symbol of all Multi-Regge Regions Bargheer, Till; Papathanasiou, Georgios; Schomerus, Volker arXiv https://doi.org/10.48550/arxiv.1512.07620	text	January 2015
Systematics of the Multi-Regge Three-Loop Symbol Bargheer, Till arXiv https://doi.org/10.48550/arxiv.1606.07640	text	January 2016
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations Caron-Huot, Simon; Dixon, Lance J.; McLeod, Andrew arXiv https://doi.org/10.48550/arxiv.1609.00669	text	January 2016
Heptagons from the Steinmann Cluster Bootstrap Dixon, Lance J.; Drummond, James; Harrington, Thomas arXiv https://doi.org/10.48550/arxiv.1612.08976	text	January 2016
Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops Prlina, Igor; Spradlin, Marcus; Stankowicz, James arXiv https://doi.org/10.48550/arxiv.1712.08049	text	January 2017

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Cluster adjacency and the four-loop NMHV heptagon Drummond, James; Foster, Jack; Gürdoğn, Ömer Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/jhep03(2019)087	journal	March 2019
Strings and High Energy Scattering Bartels, Jochen; Moch, Sven-Olaf; Schomerus, Volker Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-00782/a3	text	January 2018
All two-loop MHV remainder functions in multi-Regge kinematics Del Duca, Vittorio; Duhr, Claude; Dulat, Falko arXiv https://doi.org/10.48550/arxiv.1811.10398	text	January 2018
Cluster adjacency and the four-loop NMHV heptagon Drummond, James; Foster, Jack; Gürdoğn, Ömer Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/jhep03(2019)087	journal	March 2019
The multi-Regge limit of the eight-particle amplitude beyond leading logarithmic accuracy Marzucca, Robin; Verbeek, Bram Journal of High Energy Physics, Vol. 2019, Issue 7 https://doi.org/10.1007/jhep07(2019)039	journal	July 2019
All-Order Amplitudes at any Multiplicity in the Multi-Regge Limit Del Duca, V.; Druc, S.; Drummond, J. M. Physical Review Letters, Vol. 124, Issue 16 https://doi.org/10.1103/physrevlett.124.161602	journal	April 2020
Cluster adjacency and the four-loop NMHV heptagon Drummond, James; Foster, Jack; Gürdoğan, Ömer Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-05809	text	January 2018
Cluster adjacency and the four-loop NMHV heptagon Drummond, James; Foster, Jack; Gürdoğn, Ömer Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-01988	text	January 2019
The Multi-Regge Limit from the Wilson Loop OPE Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02567	text	January 2019
All-order amplitudes at any multiplicity in the multi-Regge limit Del Duca, V.; Druc, S.; Drummond, J. M. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00194	text	January 2019
The Multi-Regge Limit from the Wilson Loop OPE Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01807	text	January 2020
All-order amplitudes at any multiplicity in the multi-Regge limit Del Duca, V.; Druc, S.; Drummond, J. M. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01808	text	January 2020
All-Order Amplitudes at any Multiplicity in the Multi-Regge Limit Del Duca, Vittorio; Druc, S.; Drummond, James M. ETH Zurich https://doi.org/10.3929/ethz-b-000412664	text	January 2020
Cluster adjacency and the four-loop NMHV heptagon Drummond, James; Foster, Jack; Gürdoğan, Ömer arXiv https://doi.org/10.48550/arxiv.1812.04640	text	January 2018
The Multi-Regge Limit from the Wilson Loop OPE Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker arXiv https://doi.org/10.48550/arxiv.1906.00990	text	January 2019

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