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

Abstract

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

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Humboldt Univ. of Berlin (Germany). Inst. for Physics; Max Planck Inst. for Physics, Munich (Germany)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1847098
Alternate Identifier(s):
OSTI ID: 1865163
Report Number(s):
SLAC–PUB–17630
Journal ID: ISSN 1029-8479; TRN: US2303074
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; duality in gauge field theories; scattering amplitudes

Citation Formats

Dixon, Lance J., Liu, Yu-Ting, and Miczajka, Julian. Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics. United States: N. p., 2021. Web. doi:10.1007/jhep12(2021)218.
Dixon, Lance J., Liu, Yu-Ting, & Miczajka, Julian. Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics. United States. https://doi.org/10.1007/jhep12(2021)218
Dixon, Lance J., Liu, Yu-Ting, and Miczajka, Julian. Fri . "Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics". United States. https://doi.org/10.1007/jhep12(2021)218. https://www.osti.gov/servlets/purl/1847098.
@article{osti_1847098,
title = {Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics},
author = {Dixon, Lance J. and Liu, Yu-Ting and Miczajka, Julian},
abstractNote = {We compute all 2 → 5 gluon scattering amplitudes in planar $\mathscr{N}$ = 4 super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial (“long”) Regge cut. We provide the amplitudes through four loops and to all logarithmic accuracy at leading power, in terms of single-valued multiple polylogarithms of two variables. To obtain these results, we leverage the function-level results for the amplitudes in the Steinmann cluster bootstrap. To high powers in the series expansion in the two variables, our results agree with the recently conjectured all-order central emission vertex used in the Fourier-Mellin representation of amplitudes in multi-Regge kinematics. Our results therefore provide a resummation of the Fourier-Mellin residues into single-valued polylogarithms, and constitute an important cross-check between the bootstrap approach and the all-orders multi-Regge proposal.},
doi = {10.1007/jhep12(2021)218},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2021,
place = {United States},
year = {Fri Dec 31 00:00:00 EST 2021},
month = {Fri Dec 31 00:00:00 EST 2021}
}

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