Quark pseudodistributions at short distances

We perform a one-loop study of the small-z32 behavior of the Ioffe-time distribution (ITD) M(ν,z32), the basic function that may be converted into parton pseudo- and quasi-distributions. We calculate the corrections on the operator level, so that our results may be also used for pseudo-distribution...

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Main Author: A.V. Radyushkin
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318303071
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spelling doaj-c10f72e95dc54663a36b63bec5eac0882020-11-24T20:56:16ZengElsevierPhysics Letters B0370-26932018-06-01781433442Quark pseudodistributions at short distancesA.V. Radyushkin0Physics Department, Old Dominion University, Norfolk, VA 23529, USA; Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USA; Correspondence to: Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USA.We perform a one-loop study of the small-z32 behavior of the Ioffe-time distribution (ITD) M(ν,z32), the basic function that may be converted into parton pseudo- and quasi-distributions. We calculate the corrections on the operator level, so that our results may be also used for pseudo-distribution amplitudes and generalized parton pseudodistributions. We separate two sources of the z32-dependence at small z32. One is related to the ultraviolet (UV) singularities generated by the gauge link. Our calculation shows that, for a finite UV cut-off, the UV-singular terms vanish when z32=0. The UV divergences are absent in the reduced ITD given by the ratio M(ν,z32)/M(0,z32). Still, it has a non-trivial short-distance behavior due to ln⁡z32Λ2 terms generating perturbative evolution of parton densities. We give an explicit expression, up to constant terms, for the reduced ITD at one loop. It may be used in extraction of PDFs from lattice QCD simulations. We also use our results to get new insights concerning the structure of parton quasi-distributions at one-loop level.http://www.sciencedirect.com/science/article/pii/S0370269318303071
collection DOAJ
language English
format Article
sources DOAJ
author A.V. Radyushkin
spellingShingle A.V. Radyushkin
Quark pseudodistributions at short distances
Physics Letters B
author_facet A.V. Radyushkin
author_sort A.V. Radyushkin
title Quark pseudodistributions at short distances
title_short Quark pseudodistributions at short distances
title_full Quark pseudodistributions at short distances
title_fullStr Quark pseudodistributions at short distances
title_full_unstemmed Quark pseudodistributions at short distances
title_sort quark pseudodistributions at short distances
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-06-01
description We perform a one-loop study of the small-z32 behavior of the Ioffe-time distribution (ITD) M(ν,z32), the basic function that may be converted into parton pseudo- and quasi-distributions. We calculate the corrections on the operator level, so that our results may be also used for pseudo-distribution amplitudes and generalized parton pseudodistributions. We separate two sources of the z32-dependence at small z32. One is related to the ultraviolet (UV) singularities generated by the gauge link. Our calculation shows that, for a finite UV cut-off, the UV-singular terms vanish when z32=0. The UV divergences are absent in the reduced ITD given by the ratio M(ν,z32)/M(0,z32). Still, it has a non-trivial short-distance behavior due to ln⁡z32Λ2 terms generating perturbative evolution of parton densities. We give an explicit expression, up to constant terms, for the reduced ITD at one loop. It may be used in extraction of PDFs from lattice QCD simulations. We also use our results to get new insights concerning the structure of parton quasi-distributions at one-loop level.
url http://www.sciencedirect.com/science/article/pii/S0370269318303071
work_keys_str_mv AT avradyushkin quarkpseudodistributionsatshortdistances
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