Gluon pseudo-distributions at short distances: Forward case

We present the results that are necessary in the ongoing lattice calculations of the gluon parton distribution functions (PDFs) within the pseudo-PDF approach. We give a classification of possible two-gluon correlator functions and identify those that contain the invariant amplitude determining the...

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Main Authors: Ian Balitsky, Wayne Morris, Anatoly Radyushkin
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026932030424X
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spelling doaj-14203fff130c42f1b2108bddecc0099f2020-11-25T03:38:29ZengElsevierPhysics Letters B0370-26932020-09-01808135621Gluon pseudo-distributions at short distances: Forward caseIan Balitsky0Wayne Morris1Anatoly Radyushkin2Physics Department, Old Dominion University, Norfolk, VA 23529, USA; Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USAPhysics Department, Old Dominion University, Norfolk, VA 23529, USA; Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USAPhysics Department, Old Dominion University, Norfolk, VA 23529, USA; Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USA; Corresponding author.We present the results that are necessary in the ongoing lattice calculations of the gluon parton distribution functions (PDFs) within the pseudo-PDF approach. We give a classification of possible two-gluon correlator functions and identify those that contain the invariant amplitude determining the gluon PDF in the light-cone z2→0 limit. One-loop calculations have been performed in the coordinate representation and in an explicitly gauge-invariant form. We made an effort to separate ultraviolet (UV) and infrared (IR) sources of the ln⁡(−z2)-dependence at short distances z2. The UV terms cancel in the reduced Ioffe-time distribution (ITD), and we obtain the matching relation between the reduced ITD and the light-cone ITD. Using a kernel form, we get a direct connection between lattice data for the reduced ITD and the normalized gluon PDF. We also show that our results may be used for a rather straightforward calculation of the one-loop matching relations for quasi-PDFs.http://www.sciencedirect.com/science/article/pii/S037026932030424X
collection DOAJ
language English
format Article
sources DOAJ
author Ian Balitsky
Wayne Morris
Anatoly Radyushkin
spellingShingle Ian Balitsky
Wayne Morris
Anatoly Radyushkin
Gluon pseudo-distributions at short distances: Forward case
Physics Letters B
author_facet Ian Balitsky
Wayne Morris
Anatoly Radyushkin
author_sort Ian Balitsky
title Gluon pseudo-distributions at short distances: Forward case
title_short Gluon pseudo-distributions at short distances: Forward case
title_full Gluon pseudo-distributions at short distances: Forward case
title_fullStr Gluon pseudo-distributions at short distances: Forward case
title_full_unstemmed Gluon pseudo-distributions at short distances: Forward case
title_sort gluon pseudo-distributions at short distances: forward case
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-09-01
description We present the results that are necessary in the ongoing lattice calculations of the gluon parton distribution functions (PDFs) within the pseudo-PDF approach. We give a classification of possible two-gluon correlator functions and identify those that contain the invariant amplitude determining the gluon PDF in the light-cone z2→0 limit. One-loop calculations have been performed in the coordinate representation and in an explicitly gauge-invariant form. We made an effort to separate ultraviolet (UV) and infrared (IR) sources of the ln⁡(−z2)-dependence at short distances z2. The UV terms cancel in the reduced Ioffe-time distribution (ITD), and we obtain the matching relation between the reduced ITD and the light-cone ITD. Using a kernel form, we get a direct connection between lattice data for the reduced ITD and the normalized gluon PDF. We also show that our results may be used for a rather straightforward calculation of the one-loop matching relations for quasi-PDFs.
url http://www.sciencedirect.com/science/article/pii/S037026932030424X
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AT waynemorris gluonpseudodistributionsatshortdistancesforwardcase
AT anatolyradyushkin gluonpseudodistributionsatshortdistancesforwardcase
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