Quasi-PDFs, momentum distributions and pseudo-PDFs

A. V. Radyushkin

doi:10.1103/PhysRevD.96.034025

paper

Quasi-PDFs, momentum distributions and pseudo-PDFs

arXiv:1705.01488 · doi:10.1103/PhysRevD.96.034025

Abstract

We show that quasi-PDFs may be treated as hybrids of PDFs and primordial rest-frame momentum distributions of partons. This results in a complicated convolution nature of quasi-PDFs that necessitates using large $p_{3} \sim 3$ GeV momenta to get reasonably close to the PDF limit. As an alternative approach, we propose to use pseudo-PDFs $P (x, z_{3}^{2})$ that generalize the light-front PDFs onto spacelike intervals and are related to Ioffe-time distributions $M (ν, z_{3}^{2})$ , the functions of the Ioffe time $ν = p_{3} z_{3}$ and the distance parameter $z_{3}^{2}$ with respect to which it displays perturbative evolution for small $z_{3}$ . In this form, one may divide out the $z_{3}^{2}$ dependence coming from the primordial rest-frame distribution and from the problematic factor due to lattice renormalization of the gauge link. The $ν$ -dependence remains intact and determines the shape of PDFs.

6 pages, 3 figures, changes in text and references

Quasi-PDFs, momentum distributions and pseudo-PDFs

Abstract

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