The sevengluon amplitude in multiRegge kinematics beyond leading logarithmic accuracy
We present an allloop dispersion integral, welldefined to arbitrary logarithmic accuracy, describing the multiRegge limit of the 2 → 5 amplitude in planar N = 4 super YangMills 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 2loop N particle MHV amplitude in this region to a function, we specialize to N = 7, and extract from it the nexttoleading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the wellstudied sixgluon case. As an application of our results, we explicitly compute the sevengluon amplitude at nexttoleading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively.
 Authors:

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 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), LouvainlaNeuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Univ. of Louvain (UCL), LouvainlaNeuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
 Deutsches ElektronenSynchrotron (DESY), Hamburg (Germany). DESY Theory Group
 Publication Date:
 Report Number(s):
 SLACPUB17220
Journal ID: ISSN 10298479; PII: 8482
 Grant/Contract Number:
 AC0276SF00515; 637019; 648630
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 6; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Deutsches ElektronenSynchrotron (DESY), Hamburg (Germany); Univ. of Louvain (UCL), LouvainlaNeuve (Belgium); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Sponsoring Org:
 USDOE; European Research Council (ERC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; extended supersymmetry; scattering amplitudes; supersymmetric gauge theory
 OSTI Identifier:
 1443996
Del Duca, Vittorio, Druc, Stefan, Drummond, James, Duhr, Claude, Dulat, Falko, Marzucca, Robin, Papathanasiou, Georgios, and Verbeek, Bram. The sevengluon amplitude in multiRegge kinematics beyond leading logarithmic accuracy. United States: N. p.,
Web. doi:10.1007/jhep06(2018)116.
Del Duca, Vittorio, Druc, Stefan, Drummond, James, Duhr, Claude, Dulat, Falko, Marzucca, Robin, Papathanasiou, Georgios, & Verbeek, Bram. The sevengluon amplitude in multiRegge kinematics beyond leading logarithmic accuracy. United States. doi:10.1007/jhep06(2018)116.
Del Duca, Vittorio, Druc, Stefan, Drummond, James, Duhr, Claude, Dulat, Falko, Marzucca, Robin, Papathanasiou, Georgios, and Verbeek, Bram. 2018.
"The sevengluon amplitude in multiRegge kinematics beyond leading logarithmic accuracy". United States.
doi:10.1007/jhep06(2018)116. https://www.osti.gov/servlets/purl/1443996.
@article{osti_1443996,
title = {The sevengluon amplitude in multiRegge kinematics beyond leading logarithmic accuracy},
author = {Del Duca, Vittorio and Druc, Stefan and Drummond, James and Duhr, Claude and Dulat, Falko and Marzucca, Robin and Papathanasiou, Georgios and Verbeek, Bram},
abstractNote = {We present an allloop dispersion integral, welldefined to arbitrary logarithmic accuracy, describing the multiRegge limit of the 2 → 5 amplitude in planar N = 4 super YangMills 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 2loop N particle MHV amplitude in this region to a function, we specialize to N = 7, and extract from it the nexttoleading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the wellstudied sixgluon case. As an application of our results, we explicitly compute the sevengluon amplitude at nexttoleading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively.},
doi = {10.1007/jhep06(2018)116},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2018,
place = {United States},
year = {2018},
month = {6}
}