Transverse momentumdependent parton distribution functions in lattice QCD
Abstract
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 semiinclusive deep inelastic scattering (SIDIS) and the DrellYan process (DY), which can be parametrized in terms of transversemomentumdependent 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 stapleshaped 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 timereversal odd Sivers and BoerMulders transverse momentum shifts.
 Authors:

 New Mexico State University
 Tech. University Munich
 MIT
 Regensburg
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1092548
 Report Number(s):
 JLABTHY121523; DOE/OR/231772753
 DOE Contract Number:
 AC0506OR23177
 Resource Type:
 Conference
 Journal Name:
 Proceedings of Science
 Additional Journal Information:
 Journal Volume: CD12; Conference: CD 12, August 6 10, 2012, Newport News, Virginia, USA
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Engelhardt, Michael G., Musch, Bernhard U., Haegler, Philipp G., Negele, John W., and Schaefer, Andreas. Transverse momentumdependent parton distribution functions in lattice QCD. United States: N. p., 2013.
Web.
Engelhardt, Michael G., Musch, Bernhard U., Haegler, Philipp G., Negele, John W., & Schaefer, Andreas. Transverse momentumdependent parton distribution functions in lattice QCD. United States.
Engelhardt, Michael G., Musch, Bernhard U., Haegler, Philipp G., Negele, John W., and Schaefer, Andreas. Thu .
"Transverse momentumdependent parton distribution functions in lattice QCD". United States. https://www.osti.gov/servlets/purl/1092548.
@article{osti_1092548,
title = {Transverse momentumdependent parton distribution functions in lattice QCD},
author = {Engelhardt, Michael G. and Musch, Bernhard U. and Haegler, Philipp G. and Negele, John W. and Schaefer, Andreas},
abstractNote = {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 semiinclusive deep inelastic scattering (SIDIS) and the DrellYan process (DY), which can be parametrized in terms of transversemomentumdependent 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 stapleshaped 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 timereversal odd Sivers and BoerMulders transverse momentum shifts.},
doi = {},
url = {https://www.osti.gov/biblio/1092548},
journal = {Proceedings of Science},
number = ,
volume = CD12,
place = {United States},
year = {2013},
month = {8}
}