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arXiv · 1505.02555

Position-space cuts for Wilson line correlators

Eric Laenen·Kasper J. Larsen·Robbert Rietkerk
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Abstract

We further develop the formalism for taking position-space cuts of eikonal diagrams introduced in [Phys.Rev.Lett. 114 (2015), no. 18 181602, arXiv:1410.5681]. These cuts are applied directly to the position-space representation of any such diagram and compute its discontinuity to the leading order in the dimensional regulator. We provide algorithms for computing the position-space cuts and apply them to several two- and three-loop eikonal diagrams, finding agreement with results previously obtained in the literature. We discuss a non-trivial interplay between the cutting prescription and non-Abelian exponentiation. We furthermore discuss the relation of the imaginary part of the cusp anomalous dimension to the static interquark potential.

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Eric Laenen, Kasper J. Larsen, Robbert Rietkerk. 2015-06-16. Position-space cuts for Wilson line correlators. https://doi.org/10.1007/jhep07(2015)083

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