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Publication Information
Title Structure of parton quasi-distributions and their moments
Abstract We discuss the structure of the parton quasi-distributions (quasi-PDFs) $Q(y, P_3)$ outside the ``canonical'' $-1 \leq y \leq 1$ support region of the usual parton distribution functions (PDFs). Writing the $y^n$ moments of $Q(y, P_3)$ in terms of the combined \mbox{$x^{n-2l} k_\perp^{2l}$-moments} of the transverse momentum distribution (TMD) ${\cal F} (x,k_\perp^2)$, we establish a connection between the large-$|y|$ behavior of $Q(y,P_3)$ and large-$k_\perp^2$ behavior of ${\cal F} (x,k_\perp^2)$. In particular, we show that the $1/k_\perp^2$ hard tail of TMDs in QCD results in a slowly decreasing $\sim 1/|y|$ behavior of quasi-PDFs for large $|y|$ that produces infinite $y^n$ moments of $Q(y,P_3)$. We also relate the $\sim 1/|y|$ terms with the $\ln z_3^2$-singulariies of the Ioffe-time pseudo-distributions $\mathfrak{M} (\nu, z_3^2)$. Converting the operator product expansion for $\mathfrak{M} (\nu, z_3^2)$ into a matching relation between the q
Author(s) Anatoly Radyushkin
Publication Date January 2019
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-18-2768 OSTI Number: 1489647
LANL Number: arXiv:1807.07509 Other Number: DOE/OR/23177-4499
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physics Letters B
Refereed Yes
Volume 788
Issue
Page(s) 380-387
Attachments/Datasets/DOI Link
Document(s)
0Amoments0718.pdf (STI Document)
1-s2.0-S0370269318308931-main.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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