Abstract
We present an analytic derivation of the full four-loop cusp anomalous dimension of N=4 supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the ϵ−2 pole of the form factor using parametric integrations of finite integrals. We provide uniformly transcendental results for the master integrals through to weight six and confirm a very recent independent analytic result for the full four-loop cusp anomalous dimension of the N=4 model.
Highlights
Notation and conventionsIt is convenient to expand the Sudakov form factor in a modified bare ’t Hooft coupling, g2 =
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China b articleinfo
We present an analytic derivation of the full four-loop cusp anomalous dimension of N = 4 supersymmetric Yang-Mills theory from the Sudakov form factor
Summary
It is convenient to expand the Sudakov form factor in a modified bare ’t Hooft coupling, g2 =. The expression below was derived in earlier work using loop-level color-kinematics duality [17], integration by parts identities [18,32,33,34], and a systematic construction of and projection onto (conjectured) uniform-transcendentality master integrals [6]. As expected, it splits naturally into a leading-color (planar-color) part and a sub-leading-color (non-planar-color) part.. Laurent expansions of the master integrals through to O ( −2 ) are provided
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