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Target Mass Effects in Parton Quasi-Distributions
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Target Mass Effects in Parton Quasi-Distributions
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We study the impact of non-zero (and apparently large) value of the nucleon mass $M$ on the shape of parton quasi-distributions $Q(y,p_3)$, in particular on its change with the change of the nucleon momentum $p_3$. 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 $p_3 \gtrsim 2M$.
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Cited by 1 Pith paper
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Disentangling Scheme Dependence in Quasi-PDFs with a Transverse-Momentum Cutoff
In the minimal TMC scheme, one-loop nonsinglet quasi-PDFs separate into explicit cutoff (and boundary UV) counterterms plus a remainder that carries the collinear IR pole and finite matching kernel.
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