Evolution of parton distribution functions in the short-distance factorization scheme

Dutrieux, Hervé; Karpie, Joseph; Monahan, Christopher; Orginos, Kostas; Zafeiropoulos, Savvas

doi:10.1007/jhep04(2024)061

Title: Evolution of parton distribution functions in the short-distance factorization scheme

Journal Article · 11 April 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep04(2024)061 · OSTI ID:2339846

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College of William and Mary, Williamsburg, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Aix-Marseille University, Marseille (France)

Lattice QCD offers the possibility of computing parton distributions from first principles, although not in the usual $$\overline{MS}$$ factorization scheme. Calculations are therefore matched to $$\overline{MS}$$ using a perturbative procedure which is the source of significant uncertainty within the currently accessible kinematics. We present the possibility of computing the z² evolution of non-singlet pseudo-parton distribution functions within the short factorization scheme in a numerically improvable way. The goal is to have tools to evolve a calculation to a scale where perturbative uncertainties are less pronounced. We compare a numerical extraction of the evolution operator from lattice data to the computation of z² dependence in perturbation theory. Finally, we discuss how this numerical work may be extended to address the two-scale problem that arises when the Ioffe time range must be made large to extend the reach of the calculation of the pseudo-PDF to smaller values of the momentum fraction.

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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); French Centre national de la recherche scientifique (CNRS)

Grant/Contract Number:: AC05-06OR23177; FG02-04ER41302; SC0023047; SC0023646

OSTI ID:: 2339846

Report Number(s):: JLAB-THY--23-3951; arXiv:2310.19926; DOE/OR/23177--7251; DE-FG02-04ER41302; DE-SC0023047; DE-SC0023646

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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