Physical Review D
We incorporate recent calculations of one-loop corrections for the reduced Ioffe-time pseudo-distribution m(v, z(3)(2) thorn to extend the leading-logarithm analysis of lattice data obtained by Orginos et al. We observe that the one-loop corrections contain a large term reflecting the fact that effective distances involved in the most important diagrams are much smaller than the nominal distance z(3). The large correction in this case may be absorbed into the evolution term, and the perturbative expansion used for extraction of parton densities at the μ ≈ 2 GeV scale is under control. The extracted parton distribution is rather close to global fits in the x > 0.1 region, but deviates from them for x < 0.1.
Original Publication Citation
Radyushkin, A. (2018). One-loop evolution of parton pseudo-distribution functions on the lattice. Physical Review D, 98(1), 014019. doi: 10.1103/PhysRevD.98.014019
Radyushkin, Anatoly, "One-Loop Evolution of Parton Pseudo-Distribution Functions on the Lattice" (2018). Physics Faculty Publications. 239.