Sivers and Boer-Mulders observables from lattice QCD

B. U. Musch, Ph. Hägler, M. Engelhardt, J. W. Negele, and A. Schäfer
Phys. Rev. D 85, 094510 – Published 25 May 2012

Abstract

We present a first calculation of transverse momentum-dependent nucleon observables in dynamical lattice QCD employing nonlocal operators with staple-shaped, “process-dependent” Wilson lines. The use of staple-shaped Wilson lines allows us to link lattice simulations to TMD effects determined from experiment, and, in particular, to access nonuniversal, naively time-reversal odd TMD observables. We present and discuss results for the generalized Sivers and Boer-Mulders transverse momentum shifts for the SIDIS and DY cases. The effect of staple-shaped Wilson lines on T-even observables is studied for the generalized tensor charge and a generalized transverse shift related to the worm-gear function g1T. We emphasize the dependence of these observables on the staple extent and the Collins-Soper evolution parameter. Our numerical calculations use an nf=2+1 mixed action scheme with domain wall valence fermions on an Asqtad sea and pion masses 369 MeV as well as 518 MeV.

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  • Received 28 November 2011

DOI:https://doi.org/10.1103/PhysRevD.85.094510

© 2012 American Physical Society

Authors & Affiliations

B. U. Musch1,*, Ph. Hägler2,†, M. Engelhardt3,‡, J. W. Negele4, and A. Schäfer5

  • 1Theory Center, Jefferson Lab, Newport News, Virginia 23606, USA
  • 2Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
  • 3Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003-8001, USA
  • 4Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 5Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany

  • *bmusch@jlab.org
  • haegler@p2h.de
  • engel@nmsu.edu

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Vol. 85, Iss. 9 — 1 May 2012

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