Physics Letters B
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.
Original Publication Citation
Balitsky, I., Morris, W., & Radyushkin, A. (2020). Gluon pseudo-distributions at short distances: Forward case. Physics Letters B, 808, 8 pp., Article 135621. https://doi.org/10.1016/j.physletb.2020.135621
Balitsky, Ian; Morris, Wayne; and Radyushkin, Anatoly, "Gluon Pseudo-Distributions at Short Distances: Forward Case" (2020). Physics Faculty Publications. 438.