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Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
R. N. Lee, V. A. Smirnov
We evaluate analytically higher terms of the epsilon-expansion of the three-loop master integrals corresponding to three-loop quark and gluon form factors and to the three-loop mas…
The static quark potential to three loops in perturbation theory
Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser
The static potential constitutes a fundamental quantity of Quantum Chromodynamics. It has recently been evaluated to three-loop accuracy. In this contribution we provide details on…
A Two-Loop Octagon Wilson Loop in N = 4 SYM
Vittorio Del Duca, Claude Duhr, Vladimir A. Smirnov
In the planar N = 4 supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of…
Dimensional recurrence relations: an easy way to evaluate higher orders of expansion in
Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov
Applications of a method recently suggested by one of the authors (R.L.) are presented. This method is based on the use of dimensional recurrence relations and analytic properties…
The Two-Loop Hexagon Wilson Loop in N = 4 SYM
Vittorio Del Duca, Claude Duhr, Vladimir A. Smirnov
In the planar N=4 supersymmetric Yang-Mills theory, the conformal symmetry constrains multi-loop n-edged Wilson loops to be given in terms of the one-loop n-edged Wilson loop, augm…
Full result for the three-loop static quark potential
Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser
The three-loop corrections to the potential of two heavy quarks are computed. Analytic results for the most complicated master integrals are presented.
Analytic Results for Massless Three-Loop Form Factors
R. N. Lee, A. V. Smirnov, V. A. Smirnov
We evaluate, exactly in d, the master integrals contributing to massless three-loop QCD form factors. The calculation is based on a combination of a method recently suggested by on…