Abstract
We compute the symbol of the full-color two-loop five-particle amplitude in N=4 super Yang-Mills theory, including all nonplanar subleading-color terms. The amplitude is written in terms of permutations of Parke-Taylor tree-level amplitudes and pure functions to all orders in the dimensional regularization parameter, in agreement with previous conjectures. The answer has the correct collinear limits and infrared factorization properties, allowing us to define a finite remainder function. We study the multi-Regge limit of the nonplanar terms, analyze its subleading power corrections, and analytically present the leading logarithmic terms.
Highlights
Introduction.—The study of scattering amplitudes in maximally supersymmetric Yang-Mills theory (N 1⁄44SYM) has brought about many advances in quantum field theory (QFT)
We compute the symbol of the full-color two-loop five-particle amplitude in N 1⁄4 4 super Yang-Mills theory, including all nonplanar subleading-color terms
The amplitude is written in terms of permutations of Parke-Taylor tree-level amplitudes and pure functions to all orders in the dimensional regularization parameter, in agreement with previous conjectures
Summary
Introduction.—The study of scattering amplitudes in maximally supersymmetric Yang-Mills theory (N 1⁄44SYM) has brought about many advances in quantum field theory (QFT). Analytic Result for a Two-Loop Five-Particle Amplitude We compute the symbol of the full-color two-loop five-particle amplitude in N 1⁄4 4 super Yang-Mills theory, including all nonplanar subleading-color terms.
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