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Title Gluon Pseudo-Distributions at Short Distances: Forward Case
Authors Ian Balitsky,Wayne Morris,Anatoly Radyushkin
JLAB number JLAB-THY-19-3087
LANL number arXiv:1910.13963
Other number DOE/OR/23177-4803
Document Type(s) (Journal Article) 
Supported by U.S. Naval Research: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)

Compiled for Physics Letters B
Publication Abstract: 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 z^2 -> 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 (-z^2)-dependence at short distances z^2. 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.
Experiment Numbers: other
Document: pdf
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