The gluon Regge trajectory at three loops from planar Yang-Mills theory

Abstract We compute the three-loop leading-colour corrections to the Yang-Mills Regge trajectory and gluon impact factor. Conjecturing that, in analogy with N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM), in a suitable scheme N c -subleading terms are absent from the three-loop Regge trajectory, we...

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Bibliographic Details
Main Authors: Vittorio Del Duca, Robin Marzucca, Bram Verbeek
Format: Article
Language:English
Published: SpringerOpen 2022-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2022)149
Description
Summary:Abstract We compute the three-loop leading-colour corrections to the Yang-Mills Regge trajectory and gluon impact factor. Conjecturing that, in analogy with N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM), in a suitable scheme N c -subleading terms are absent from the three-loop Regge trajectory, we understand our result as the first computation of the pure gauge, or n f = 0, part of the QCD three-loop Regge trajectory. The results are presented both for the bare and renormalised amplitudes and are consistent with predictions from infrared factorisation along with reproducing known results in planar N $$ \mathcal{N} $$ = 4 SYM through a maximal weight truncation. We also include the dependence on a Regge factorisation scale to facilitate future applications in BFKL theory at next-to-next-to leading logarithmic accuracy.
ISSN:1029-8479