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25 April 2024 |
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Quasi-PDFs, momentum distributions and pseudo-PDFs | | A. V. Radyushkin
; | | Date: |
3 May 2017 | | 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~ 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 (
u,
z_3^2), the functions of the Ioffe time
u = 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
u-dependence remains intact
and determines the shape of PDFs. | | Source: | arXiv, 1705.1488 | | Services: | Forum | Review | PDF | Favorites | |
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