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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2020-09-01
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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 |
work_keys_str_mv |
AT ianbalitsky gluonpseudodistributionsatshortdistancesforwardcase AT waynemorris gluonpseudodistributionsatshortdistancesforwardcase AT anatolyradyushkin gluonpseudodistributionsatshortdistancesforwardcase |
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