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Three-loop cusp anomalous dimension and a conjecture for $n$ loops
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abstract
I present analytical expressions for the cusp anomalous dimension in QCD through three loops in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a conjecture for the $n$-loop cusp anomalous dimension in terms of the lower-loop results. I also present numerical results and simple approximate formulas for the cusp anomalous dimension relevant to top-quark production.
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Cited by 1 Pith paper
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Three-loop soft anomalous dimensions for top-quark production
Most three-loop formulas quoted here were already published by the same author; the top-pair three-loop results are explicitly incomplete.
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