Gluon Pseudo-Distributions at Short Distances: Forward Case

Understand

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 $z^2$.