Publications
Publication Information
| Title | Structure of parton quasi-distributions and their moments |
| Authors | Anatoly Radyushkin |
| JLAB number | JLAB-THY-18-2768 |
| LANL number | arXiv:1807.07509 |
| Other number | DOE/OR/23177-4499 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physics Letters B Volume 788 Page(s) 380-387 Refereed | |
| Publication 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 quasi-PDF $Q(y,P_3)$ and the light-cone PDF $f(x, \mu^2)$, we demonstrate that there is no contradiction between the infinite values of the $y^n$ moments of $Q(y,P_3)$ and finite values of the $x^n$ moments of $f(x, \mu^2)$. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1016/j.physletb.2018.11.047 |
| Accepted Manuscript: | 1-s2.0-S0370269318308931-main.pdf |
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