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

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.
Authors:
 [1] ;  [2] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6] ;  [5]
  1. Swiss Federal Inst. of Technology in Zurich (ETH Zurich) (Switzerland). Inst. for Theoretical Physics
  2. Univ. of Southampton (United Kingdom). School of Physics & Astronomy
  3. 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)
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  5. Univ. of Louvain (UCL), Louvain-la-Neuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
  6. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). DESY Theory Group
Publication Date:
Report Number(s):
SLAC-PUB-17220
Journal ID: ISSN 1029-8479; PII: 8482
Grant/Contract Number:
AC02-76SF00515; 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 1029-8479
Publisher:
Springer Berlin
Research Org:
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 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 seven-gluon amplitude in multi-Regge 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 seven-gluon amplitude in multi-Regge 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 seven-gluon amplitude in multi-Regge 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 seven-gluon amplitude in multi-Regge 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 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.},
doi = {10.1007/jhep06(2018)116},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2018,
place = {United States},
year = {2018},
month = {6}
}