We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bilocal quark-quark operator connected by a straight Wilson line, allowing us to study T-even, ``process-independent'' TMDs. Beyond results for x-integrated TMDs and quark densities, we present a study of correlations in x and k_⊥. Our calculations are based on domain wall valence quark propagators by the LHP Collaboration calculated on top of gauge configurations provided by the MILC Collaboration with Nf=2+1 asqtad-improved staggered sea quarks.
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Musch et al. (2011) studied this question.
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