Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics

• DOI: 10.1007/jhep12(2021)218
• Publication Date: 2022-01-04T10:08:03Z
• Authors: Lance J. Dixon; Yu-Ting Liu; Julian Miczajka
• Keywords: Resummation; Peakon; Mellin transform

A bstract We compute all 2 → 5 gluon scattering amplitudes in planar $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 super-Yang-Mills theory the multi-Regge limit that is sensitive to non-trivial (“long”) Regge cut. provide through four loops and logarithmic accuracy at leading power, terms of single-valued multiple polylogarithms two variables. To obtain these results, we leverage function-level results for Steinmann cluster bootstrap. high powers series expansion variables, our agree with recently conjectured all-order central emission vertex used Fourier-Mellin representation kinematics. Our therefore a resummation residues into polylogarithms, constitute an important cross-check between bootstrap approach all-orders proposal.