Lattice QCD Studies of Transverse Momentum-Dependent Parton Distribution Functions
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Author(s)
Engelhardt, M.
Musch, B.
Hägler, P.
Schäfer, A.
Negele, John W
Date Issued
April 2015
Journal
Few-Body Systems
Publisher
Springer Vienna
Citation
Engelhardt, M. et al. “Lattice QCD Studies of Transverse Momentum-Dependent Parton Distribution Functions.” Few-Body Systems 56.6–9 (2015): 447–453.
Version
Author's final manuscript
Abstract
Transverse momentum-dependent parton distributions (TMDs) relevant for semi-inclusive deep inelastic scattering and the Drell–Yan process can be defined in terms of matrix elements of a quark bilocal operator containing a staple-shaped gauge link. Such a definition opens the possibility of evaluating TMDs within lattice QCD. By parametrizing the aforementioned matrix elements in terms of invariant amplitudes, the problem can be cast in a Lorentz frame suited for the lattice calculation. Results for selected TMD observables are presented, including a particular focus on their dependence on a Collins–Soper-type evolution parameter, which quantifies proximity of the staple-shaped gauge links to the light cone.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00601-015-0976-x
