The pion Boer-Mulders function is computed for the first time from lattice QCD and is found to decay with transverse separation, becoming compatible with zero around 0.5 to 0.6 fm.
Intrinsic quark transverse momentum in the nucleon from lattice QCD
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abstract
A better understanding of transverse momentum (k_T-) dependent quark distributions in a hadron is needed to interpret several experimentally observed large angular asymmetries and to clarify the fundamental role of gauge links in non-abelian gauge theories. Based on manifestly non-local gauge invariant quark operators we introduce process-independent k_T-distributions and study their properties in lattice QCD. We find that the longitudinal and transverse momentum dependence approximately factorizes, in contrast to the behavior of generalized parton distributions. The resulting quark k_T-probability densities for the nucleon show characteristic dipole deformations due to correlations between intrinsic k_T and the quark or nucleon spin. Our lattice calculations are based on N_f=2+1 mixed action propagators of the LHP collaboration.
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Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function
The pion Boer-Mulders function is computed for the first time from lattice QCD and is found to decay with transverse separation, becoming compatible with zero around 0.5 to 0.6 fm.