Six-Gluon amplitudes in planar N = 4 super-Yang-Mills theory at six and seven loops
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Six-Gluon amplitudes in planar N = 4 super-Yang-Mills theory at six and seven loops. / Caron-Huot, Simon; Dixon, Lance J.; Dulat, Falko; von Hippel, Matt; McLeod, Andrew J.; Papathanasiou, Georgios.
I: Journal of High Energy Physics, Bind 2019, Nr. 8, 016, 01.08.2019.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Six-Gluon amplitudes in planar N = 4 super-Yang-Mills theory at six and seven loops
AU - Caron-Huot, Simon
AU - Dixon, Lance J.
AU - Dulat, Falko
AU - von Hippel, Matt
AU - McLeod, Andrew J.
AU - Papathanasiou, Georgios
PY - 2019/8/1
Y1 - 2019/8/1
N2 - 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.
AB - 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.
KW - Scattering Amplitudes
KW - Supersymmetric Gauge Theory
U2 - 10.1007/JHEP08(2019)016
DO - 10.1007/JHEP08(2019)016
M3 - Journal article
VL - 2019
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 8
M1 - 016
ER -
ID: 279625226