Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2019)016
Keywords
Scattering Amplitudes; Supersymmetric Gauge Theory
Categories
Funding
- National Science Foundation [NSF PHY17-48958]
- US Department of Energy [DE-AC02-76SF00515]
- Munich Institute for Astro-and Particle Physics (MIAPP) of the DFG cluster of excellence Origin and Structure of the Universe
- Perimeter Institute for Theoretical Physics
- Danish National Research Foundation [DNRF91]
- Villum Fonden
- European Research Council [757978]
- Simons Foundation [341344]
- European Union [793151]
- Carlsberg Postdoctoral Fellowship [CF18-0641]
- National Science and Engineering Council of Canada
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development and Innovation
- Marie Curie Actions (MSCA) [793151] Funding Source: Marie Curie Actions (MSCA)
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available