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Lattice QCD Studies of Transverse Momentum-Dependent Parton Distribution Functions

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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.

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Authors and Affiliations

  1. Department of Physics, New Mexico State University, Las Cruces, NM, 88003, USA

    M. Engelhardt

  2. Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany

    B. Musch, P. Hägler & A. Schäfer

  3. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    J. Negele

Authors
  1. M. Engelhardt
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  2. B. Musch
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  3. P. Hägler
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  4. J. Negele
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  5. A. Schäfer
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Correspondence to M. Engelhardt.

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Engelhardt, M., Musch, B., Hägler, P. et al. Lattice QCD Studies of Transverse Momentum-Dependent Parton Distribution Functions. Few-Body Syst 56, 447–453 (2015). https://doi.org/10.1007/s00601-015-0976-x

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  • DOI: https://doi.org/10.1007/s00601-015-0976-x

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