The infrared structure of perturbative gauge theories

N Agarwal, L Magnea, C Signorile-Signorile, A Tripathi - Physics Reports, 2023 - Elsevier
Infrared divergences in the perturbative expansion of gauge theory amplitudes and cross
sections have been a focus of theoretical investigations for almost a century. New insights …

Scattering amplitudes

H Elvang, Y Huang - ar** the three-loop hexagon
LJ Dixon, JM Drummond, JM Henn - Journal of High Energy Physics, 2011 - Springer
A bstract We consider the hexagonal Wilson loop dual to the six-point MHV amplitude in
planar\(\mathcal {N}= 4\) super Yang-Mills theory. We apply constraints from the operator …

Simplifying multiloop integrands and ultraviolet divergences of gauge theory<? format?> and gravity amplitudes

Z Bern, JJM Carrasco, LJ Dixon, H Johansson… - Physical Review D …, 2012 - APS
We use the duality between color and kinematics to simplify the construction of the complete
four-loop four-point amplitude of N= 4 super-Yang-Mills theory, including the nonplanar …

Towards a basis for planar two-loop integrals

J Gluza, K Kajda, DA Kosower - … Review D—Particles, Fields, Gravitation, and …, 2011 - APS
The existence of a finite basis of algebraically independent one-loop integrals has
underpinned important developments in the computation of one-loop amplitudes in field …