Abstract
We study the impact of non-zero (and apparently large) value of the nucleon mass M on the shape of parton quasi-distributions Q(y,p3), in particular on its change with the change of the nucleon momentum p3. We observe that the usual target-mass corrections induced by the M-dependence of the twist-2 operators are rather small. Moreover, we show that within the framework based on parametrizations by transverse momentum dependent distribution functions (TMDs) these corrections are canceled by higher-twist contributions. We identify a novel source of kinematic target-mass dependence of TMDs and build models corrected for such dependence. We find that resulting changes may be safely neglected for p3≳2M.
Highlights
The parton quasi-distributions (PQDs) Q ( y, p3) recently proposed by X
Is parameterized by the parton distribution function (PDF) f (x) that depends on the fraction x of the target momentum component p+ carried by the parton
Our main result is that if one uses the VDF/TMD representations (2.2), (4.9) for matrix elements, there are no kinematic z2 M2-corrections that are an inherent feature/artifact of expansions over traceless {pz}n combinations that appear in the twist decomposition
Summary
The parton quasi-distributions (PQDs) Q ( y, p3) recently proposed by X. After incorporating the analysis of target-mass dependence for Feynman diagrams in the α-representation and studying equations of motion for the full TMD F (x, k2⊥), we conclude that F (x, k2⊥) should depend on k2⊥ through the combination k2⊥ + x2 M2, and that this is the only “kinematically required” target-mass effect for the full TMD Making this modification in the models used in Ref.
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