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

Collaboration
Oct 30, 2023
57 pages
Published in:
  • JHEP 04 (2024) 061
  • Published: Apr 11, 2024
e-Print:
Report number:
  • JLAB-THY-23-3951

Citations per year

20222023202405
Abstract: (Springer)
Lattice QCD offers the possibility of computing parton distributions from first principles, although not in the usual MS \overline{MS} factorization scheme. Calculations are therefore matched to MS \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^{2} 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^{2} 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.
Note:
  • 57 pages, 28 figures
  • Hadronic Spectroscopy
  • Structure and Interactions
  • Lattice QCD
  • parton: distribution function
  • lattice
  • factorization
  • fluctuation
  • nonperturbative
  • lattice field theory
  • quantum chromodynamics