Transverse momentum-dependent parton distribution functions from lattice QCD

Title: Transverse momentum-dependent parton distribution functions from lattice QCD

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Abstract

Transverse momentum-dependent parton distributions (TMDs) relevant for semi-inclusive deep inelastic scattering (SIDIS) and the Drell-Yan process can be defined in terms of matrix elements of a quark bilocal operator containing a staple-shaped Wilson connection. Starting from such a definition, a scheme to determine TMDs in lattice QCD is developed and explored. Parametrizing the aforementioned matrix elements in terms of invariant amplitudes permits a simple transformation of the problem to a Lorentz frame suited for the lattice calculation. Results for the Sivers and Boer-Mulders transverse momentum shifts are obtained using ensembles at the pion masses 369MeV and 518MeV, focusing in particular on the dependence of these shifts on the staple extent and a Collins-Soper-type evolution parameter quantifying proximity of the staples to the light cone.

Authors:: Michael Engelhardt, Philipp Haegler, Bernhard Musch, John Negele, Andreas Schaefer

Publication Date:: Sat Dec 01 00:00:00 EST 2012

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1060865

Report Number(s):: JLAB-THY-12-1671; DOE/OR/23177-2473

DOE Contract Number:: AC05-06OR23177

Resource Type:: Conference

Journal Name:: Proceedings of Science

Additional Journal Information:: Journal Volume: LATTICE2012; Conference: Lattice 2012, 24-29 Jun 2012. Cairns, Australia

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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                    Michael Engelhardt, Philipp Haegler, Bernhard Musch, John Negele, Andreas Schaefer. Transverse momentum-dependent parton distribution functions from lattice QCD.  United States: N. p., 2012. 
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                    Michael Engelhardt, Philipp Haegler, Bernhard Musch, John Negele, Andreas Schaefer. Transverse momentum-dependent parton distribution functions from lattice QCD.  United States.

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                    Michael Engelhardt, Philipp Haegler, Bernhard Musch, John Negele, Andreas Schaefer. 2012.  
        "Transverse momentum-dependent parton distribution functions from lattice QCD".  United States.

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@article{osti_1060865,

  title        = {Transverse momentum-dependent parton distribution functions from lattice QCD},

  author       = {Michael Engelhardt, Philipp Haegler, Bernhard Musch, John Negele, Andreas Schaefer},

  abstractNote = {Transverse momentum-dependent parton distributions (TMDs) relevant for semi-inclusive deep inelastic scattering (SIDIS) and the Drell-Yan process can be defined in terms of matrix elements of a quark bilocal operator containing a staple-shaped Wilson connection. Starting from such a definition, a scheme to determine TMDs in lattice QCD is developed and explored. Parametrizing the aforementioned matrix elements in terms of invariant amplitudes permits a simple transformation of the problem to a Lorentz frame suited for the lattice calculation. Results for the Sivers and Boer-Mulders transverse momentum shifts are obtained using ensembles at the pion masses 369MeV and 518MeV, focusing in particular on the dependence of these shifts on the staple extent and a Collins-Soper-type evolution parameter quantifying proximity of the staples to the light cone.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/1060865},
  journal      = {Proceedings of Science},
number       = ,

  volume       = LATTICE2012,

  place        = {United States},

  year         = {Sat Dec 01 00:00:00 EST 2012},

  month        = {Sat Dec 01 00:00:00 EST 2012}

}

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