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Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes / Bern, Z (UCLA ; UC, Santa Barbara ; CERN) ; Carrasco, J J M (Stanford U., Phys. Dept. ; Stanford U., ITP ; UC, Santa Barbara) ; Dixon, L J (SLAC ; CERN) ; Johansson, H (Saclay, SPhT ; UC, Santa Barbara) ; Roiban, R (Penn State U. ; UC, Santa Barbara)
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 contributions. The duality completely determines the amplitude's integrand in terms of just two planar graphs. [...]
arXiv:1201.5366; CERN-PH-TH-2011-190; UCLA-11-TEP-110; SU-ITP-11-34; Saclay-IPhT-T11-175; SLAC-PUB-14529; NSF-KITP-11-236.- 2012 - Published in : Phys. Rev. D 85 (2012) 105014 APS Published version, local copy: PDF; External link: Preprint
2.
The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory / Bern, Z (UCLA) ; Carrasco, J J.M (UCLA) ; Dixon, Lance J (SLAC ; CERN) ; Johansson, H (Saclay, SPhT) ; Roiban, R (Penn State U.)
We present the complete four-loop four-point amplitude in N=4 super-Yang-Mills theory, for a general gauge group and general D-dimensional covariant kinematics, and including all non-planar contributions. We use the method of maximal cuts --- an efficient application of the unitarity method --- to construct the result in terms of 50 four-loop integrals. [...]
arXiv:1008.3327; UCLA-10-TEP-105; SACLAY-IPHT-T10-075; SLAC-PUB-14137; CERN-PH-TH-2010-186.- 2010 - Published in : Phys. Rev. D 82 (2010) 125040 APS Published version, local copy: PDF; External link: Preprint

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