Abstract
We present the Sudakov form factor in full color mathcal{N} = 4 supersymmetric Yang- Mills theory to four loop order and provide uniformly transcendental results for the relevant master integrals through to weight eight.
Highlights
The remainder of this paper is organized as follows
We present the Sudakov form factor in full color N = 4 supersymmetric YangMills theory to four loop order and provide uniformly transcendental results for the relevant master integrals through to weight eight
We found that the computing resources required to compute the relevant orders can be prohibitive, such that we resorted to the method of differential equations in many cases
Summary
We have p21 = p22 = 0 due to the massless on-shell states, such that the form factor depends only on the external scale q2 = (p1 + p2). A reduced expression for the form factor in terms of dimensionally regularized master integrals has been presented in [46], which we reproduce here:. We note that the “planar-color” part of the form factor involves both planar and non-planar topologies. Analytical results for the master integrals in eq (2.4) have been given through to weight 6 in [10] We present their analytical calculation through to weight 8 as required for the finite part of the Sudakov form factor
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