The multi-Regge limit from the Wilson loop OPE

Abstract The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We analyze the combined multi-Regge co...

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Bibliographic Details
Main Authors: Till Bargheer, Vsevolod Chestnov, Volker Schomerus
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2020)002
Description
Summary:Abstract The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We analyze the combined multi-Regge collinear limit in all Mandelstam regions through an analytic continuation of the Wilson loop OPE. At leading order, the former is determined by the gluon excitation of the Gubser-Klebanov-Polyakov string. We illustrate the general procedure at the example of the heptagon remainder function at two loops. In this case, the continuation of the leading order terms in the Wilson loop OPE suffices to determine the two-loop multi-Regge heptagon functions in all Mandelstam regions from their symbols. The expressions we obtain are fully consistent with recent results by Del Duca et al.
ISSN:1029-8479