Transverse momentum-dependent parton distribution functions in lattice QCD

Conference · Thu Aug 01 04:00:00 EDT 2013 · Proceedings of Science

OSTI ID:1092548

Engelhardt, Michael G. ^[1]; Musch, Bernhard U. ^[2]; Haegler, Philipp G. ^[2]; Negele, John W. ^[3]; Schaefer, Andreas ^[4]

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1. New Mexico State University
2. Tech. University Munich
3. MIT
4. Regensburg

A fundamental structural property of the nucleon is the distribution of quark momenta, both parallel as well as perpendicular to its propagation. Experimentally, this information is accessible via selected processes such as semi-inclusive deep inelastic scattering (SIDIS) and the Drell-Yan process (DY), which can be parametrized in terms of transversemomentum-dependent parton distributions (TMDs). On the other hand, these distribution functions can be extracted from nucleon matrix elements of a certain class of bilocal quark operators in which the quarks are connected by a staple-shaped Wilson line serving to incorporate initial state (DY) or final state (SIDIS) interactions. A scheme for evaluating such matrix elements within lattice QCD is developed. This requires casting the calculation in a particular Lorentz frame, which is facilitated by a parametrization of the matrix elements in terms of invariant amplitudes. Exploratory results are presented for the time-reversal odd Sivers and Boer-Mulders transverse momentum shifts.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1092548
• Report Number(s): JLAB-THY-12-1523; DOE/OR/23177-2753
• Conference Information: Journal Name: Proceedings of Science Journal Volume: CD12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS