Piecewise Linear Wilson lines
arXiv:1409.3190 · doi:10.1051/epjconf/20158502004
Abstract
Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small- 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.
Proceedings for Transversity 2014, 6 pages
References in corpus (16)
- Final state interactions and gauge invariant parton distributions
- Universality of T-odd effects in single spin and azimuthal asymmetries
- Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone
- Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions
- Medium-induced gluon branching
- A Unified Treatment of the QCD Evolution of All (Un-)Polarized TMD Functions: Collins Function as a Study Case
- Soft-Collinear Factorization and Zero-Bin Subtractions
- Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
- On The Equivalence of Soft and Zero-Bin Subtractions
- Gluon splitting in a shockwave
- Wilson lines and gauge invariant off-shell amplitudes
- NNLO soft function for electroweak boson production at large transverse momentum
- Cusped light-like Wilson loops in gauge theories
- On a Wilson lines approach to the study of jet quenching
- On Rapidity Divergences in the Soft and Collinear Limits of QCD
- On Geometric Scaling of Light-Like Wilson Polygons: Higher Orders in