Six-Gluon amplitudes in planar N = 4 super-Yang-Mills theory at six and seven loops
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- Caron-Huot2019_Article_Six-GluonAmplitudesInPlanarNMa
Final published version, 961 KB, PDF document
We compute the six-particle maximally-helicity-violating (MHV) and
next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric
Yang-Mills theory through seven loops and six loops, respectively, as an
application of the extended Steinmann relations and using the cosmic
Galois coaction principle. Starting from a minimal space of functions
constructed using these principles, we identify the amplitude by
matching its symmetries and predicted behavior in various kinematic
limits. Through five loops, the MHV and NMHV amplitudes are uniquely
determined using only the multi-Regge and leading collinear limits.
Beyond five loops, the MHV amplitude requires additional data from the
kinematic expansion around the collinear limit, which we obtain from the
Pentagon Operator Product Expansion, and in particular from its
single-gluon bound state contribution. We study the MHV amplitude in the
self-crossing limit, where its singular terms agree with previous
predictions. Analyzing and plotting the amplitudes along various
kinematical lines, we continue to find remarkable stability between loop
orders.
Original language | English |
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Article number | 016 |
Journal | Journal of High Energy Physics |
Volume | 2019 |
Issue number | 8 |
Number of pages | 47 |
ISSN | 1126-6708 |
DOIs | |
Publication status | Published - 1 Aug 2019 |
- Scattering Amplitudes, Supersymmetric Gauge Theory
Research areas
ID: 279625226