Physics Letters B
We perform a one-loop study of the small-z2 3 behavior of the Ioffe-time distribution (ITD) M(ν, z2 3), the basic function that may be converted into parton pseudo- and quasi-distributions. We calculate the corrections on the operator level, so that our results may be also used for pseudo-distribution amplitudes and generalized parton pseudodistributions. We separate two sources of the z2 3-dependence at small z2 the reduced ITD given by the ratio M(ν, z2 due to ln z2 3)/M(0, z2 3. One is related to the ultraviolet (UV) singularities generated by the gauge link. Our calculation shows that, for a finite UV cut-off, the UV-singular terms vanish when z2 3 = 0. The UV divergences are absent in 3). Still, it has a non-trivial short-distance behavior due to IN z2 3Λ2 terms generating perturbative evolution of parton densities. We give an explicit expression, up to constant terms, for the reduced ITD at one loop. It may be used in extraction of PDFs from lattice QCD simulations. We also use our results to get new insights concerning the structure of parton quasi-distributions at one-loop level. © 2018 The Author.
Original Publication Citation
Radyushkin, A. V. (2018). Quark pseudodistributions at short distances. Physics Letters B, 781, 433-442. doi:10.1016/j.physletb.2018.04.023
Radyushkin, A. V., "Quark Pseudodistributions at Short distances" (2018). Physics Faculty Publications. 199.