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Sivers and Boer-Mulders observables from lattice QCD

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arxiv 1111.4249 v2 pith:IS3C3NVY submitted 2011-11-18 hep-lat hep-ph

B. U. Musch , Ph. Hägler , M. Engelhardt , J. W. Negele , A. Schäfer This is my paper · ORCID
classification hep-lathep-ph
keywords observablesgeneralizedlatticelinesstaple-shapedtransversewilsonboer-mulders
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a first calculation of transverse momentum dependent nucleon observables in dynamical lattice QCD employing non-local 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 non-universal, 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 g_1T. We emphasize the dependence of these observables on the staple extent and the Collins-Soper evolution parameter. Our numerical calculations use an n_f = 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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  1. Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function

    hep-lat 2024-12 conditional novelty 6.0 of 10

    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.

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