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

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Marzucca, Robin [UCL] Verbeek, Bram [UCL] Duhr, Claude [UCL]

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.

Document type Article de périodique (Journal article)
Access type Accès libre
Publication date 2018
Language Anglais
Journal information "Journal of High Energy Physics" - Vol. 2018, no.116, p. (2018)
Peer reviewed yes
Publisher Institute of Physics
issn 1029-8479
e-issn 1029-8479
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
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Bibliographic reference Marzucca, Robin ; Verbeek, Bram ; Duhr, Claude ; et. al. The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy. In: Journal of High Energy Physics, Vol. 2018, no.116, p. (2018)
Permanent URL http://hdl.handle.net/2078.1/213497