Lattice QCD investigation of nucleon transverse momentum-dependent parton distributions

Conference · Wed May 01 00:00:00 EDT 2013 · Proceedings of Xth Quark Confinement and the Hadron Spectrum — PoS(Confinement X)

DOI:https://doi.org/10.22323/1.171.0097· OSTI ID:1963003

Engelhardt, Michael; Musch, Bernhard; Haegler, Philipp; Negele, John; Schafer, Andreas

Certain hadronic processes, such as semi-inclusive deep inelastic scattering (SIDIS) and the Drell-Yan process, can be parametrized in terms of transverse momentum-dependent parton distributions (TMDs). These can be defined via matrix elements of a quark bilocal operator containing a staple-shaped Wilson connection, opening the possibility of a lattice QCD calculation of TMDs. A corresponding calculational scheme is developed and explored. On the basis of a parametrization of the relevant matrix elements in terms of invariant amplitudes, the problem can be boosted to a Lorentz frame suitable for the lattice calculation in a simple manner. Results for the Sivers and Boer-Mulders transverse momentum shifts are presented, with a focus on the dependence on both the staple extent and the staple direction.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1963003
• Report Number(s): JLAB-THY-12-1683; DOE/OR/23177-2589
• Journal Information: Proceedings of Xth Quark Confinement and the Hadron Spectrum — PoS(Confinement X), Journal Name: Proceedings of Xth Quark Confinement and the Hadron Spectrum — PoS(Confinement X)
• Country of Publication: United States
• Language: English