EPJ Web of Conferences
Volume 85, 20154th International Workshop on Transverse Polarisation Phenomena in Hard Processes (TRANSVERSITY 2014)
|Number of page(s)||6|
|Published online||23 January 2015|
Piecewise linear Wilson lines
Department of Physics, University of Antwerp, Groenenborgerlaan 171, 2020 Antwerpen, Belgium
a e-mail: email@example.com
Published online: 23 January 2015
Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-x calculations, calculations concerning validation of factorisation schemes and in calculations for constructing or modelling parton density functions. We develop an algorithm to express piecewise path ordered exponentials as path ordered integrals over the separate segments, and apply it on linear segments, reducing the number of diagrams needed to be calculated. We show how different linear path topologies can be related using their colour structure. This framework allows one to easily switch results between different Wilson line structures, which is especially useful when testing different structures against each other, e.g. when checking universality properties of non-perturbative objects.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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