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arxiv: 1712.07563 · v1 · pith:D43ZHRWEnew · submitted 2017-12-20 · ✦ hep-th · hep-ph

The nonplanar cusp and collinear anomalous dimension at four loops in {mathcal N} = 4 SYM theory

classification ✦ hep-th hep-ph
keywords nonplanarnumericalanomalouscollinearcuspdimensionfactorfour
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We present numerical results for the nonplanar lightlike cusp and collinear anomalous dimension at four loops in ${\mathcal N} = 4$ SYM theory, which we infer from a calculation of the Sudakov form factor. The latter is expressed as a rational linear combination of uniformly transcendental integrals for arbitrary colour factor. Numerical integration in the nonplanar sector reveals explicitly the breakdown of quadratic Casimir scaling at the four-loop order. A thorough analysis of the reported numerical uncertainties is carried out.

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