Evolution of parton distribution functions in the short-distance factorization scheme
Oct 30, 202357 pages
Published in:
- JHEP 04 (2024) 061
- Published: Apr 11, 2024
e-Print:
- 2310.19926 [hep-lat]
Report number:
- JLAB-THY-23-3951
View in:
Citations per year
Abstract: (Springer)
Lattice QCD offers the possibility of computing parton distributions from first principles, although not in the usual factorization scheme. Calculations are therefore matched to using a perturbative procedure which is the source of significant uncertainty within the currently accessible kinematics. We present the possibility of computing the z 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 z 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
References(96)
Figures(42)
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