U.S. Department of EnergyOffice of Scientific and Technical Information
Transverse momentum-dependent 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 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.
- 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):
- JLAB-THY-12-1523; DOE/OR/23177-2753
- DOE Contract Number:
- AC05-06OR23177
- 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 momentum-dependent 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 momentum-dependent parton distribution functions in lattice QCD. United States.
Engelhardt, Michael G., Musch, Bernhard U., Haegler, Philipp G., Negele, John W., and Schaefer, Andreas. 2013.
"Transverse momentum-dependent parton distribution functions in lattice QCD". United States. https://www.osti.gov/servlets/purl/1092548.
@article{osti_1092548,
title = {Transverse momentum-dependent 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 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.},
doi = {},
url = {https://www.osti.gov/biblio/1092548},
journal = {Proceedings of Science},
number = ,
volume = CD12,
place = {United States},
year = {Thu Aug 01 00:00:00 EDT 2013},
month = {Thu Aug 01 00:00:00 EDT 2013}
}