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

Dixon, Lance J.; Liu, Yu-Ting; Miczajka, Julian

doi:10.1007/jhep12(2021)218

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

Journal Article · Fri Dec 31 00:00:00 EST 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2021)218· OSTI ID:1847098

^[1]; ^[2]; Miczajka, Julian ^[3]

SLAC National Accelerator Lab., Menlo Park, CA (United States); SLAC
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Humboldt Univ. of Berlin (Germany). Inst. for Physics; Max Planck Inst. for Physics, Munich (Germany)

We compute all 2 → 5 gluon scattering amplitudes in planar $$ \mathcal{N} $$ 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.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1847098

Alternate ID(s):: OSTI ID: 1865163

Report Number(s):: SLAC–PUB–17630

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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