Smeared quasidistributions in perturbation theory
Abstract
Quasi and pseudo distributions provide a new approach to determining parton distribution functions (PDFs) from first principles' calculations of quantum chromodynamics (QCD). Here I calculate the flavor nonsinglet unpolarized quasi distribution at one loop in perturbation theory, using the gradient flow to remove ultraviolet divergences. I demonstrate that, as expected, the gradient flow does not change the infrared structure of the quasi distribution at one loop and use the results to match the smeared matrix elements to those in the scheme. This matching calculation is required to relate numerical results obtained from nonperturbative lattice QCD computations to light-front PDFs extracted from global analyses of experimental data.
Keywords
Cite
@article{arxiv.1710.04607,
title = {Smeared quasidistributions in perturbation theory},
author = {Christopher Monahan},
journal= {arXiv preprint arXiv:1710.04607},
year = {2024}
}
Comments
Twelve pages, ten figures. Version updated to correct sign error in equation 34, leading to corrected results in equations 23, 28, 37 and 44. Corrected results, along with typographic errors that do not affect results, published in erratum in Phys. Rev. D