Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nucleon Transverse Momentum-dependent Parton Distributions in Lattice
  QCD: Renormalization Patterns and Discretization Effects   Lattice QCD calculations of transverse momentum-dependent parton distribution
functions (TMDs) in nucleons are presented, based on the evaluation of nucleon
matrix elements of quark bilocal operators with a staple-shaped gauge
connection. Both time-reversal odd effects, namely, the generalized Sivers and
Boer-Mulders transverse momentum shifts, as well as time-reversal even effects,
namely, the generalized transversity and one of the generalized worm-gear
shifts are studied. Results are obtained on two different $n_f = 2+1$ flavor
ensembles with approximately matching pion masses but very different
discretization schemes: domain-wall fermions (DWF) with lattice spacing
$a=0.084$ fm and pion mass 297 MeV, and Wilson-clover fermions with $a=0.114$
fm and pion mass 317 MeV. Comparison of the results on the two ensembles yields
insight into the length scales at which lattice discretization errors are
small, and into the extent to which the renormalization pattern obeyed by the
continuum QCD TMD operator continues to apply in the lattice formulation. For
the studied TMD observables, the results are found to be consistent between the
two ensembles at sufficiently large separation of the quark fields within the
operator, whereas deviations are observed in the local limit and in the case of
a straight link gauge connection, which is relevant to the studies of parton
distribution functions. Furthermore, the lattice estimates of the generalized
Sivers shift obtained here are confronted with, and are seen to tend towards, a
phenomenological estimate extracted from experimental data.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th