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Title: 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:
 [1];  [2];  [2];  [3];  [4]
  1. New Mexico State University
  2. Tech. University Munich
  3. MIT
  4. 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. Thu . "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 = {2013},
month = {8}
}

Conference:
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