7-11 September 2020
Center for Nuclear Femtography (SURA) and Center for Frontiers in Nuclear Science (SBU/BNL)
US/Eastern timezone

Gluon pseudo-distributions at short distances: Forward case

11 Sep 2020, 11:44
12m
Zoom

Zoom

Speaker

Wayne Morris (Old Dominion University)

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 $z^2 \to 0$ 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.

Primary authors

Anatoly Radyushkin (ODU/JLab) Ian Balitsky (JLab/ODU) Wayne Morris (Old Dominion University)

Presentation Materials