Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
By A. Radyushkin. 2017
217 citations recorded by the source corpus.
We show that quasi-parton distribution functions (quasi-PDFs) may be treated as hybrids of PDFs and primordial rest-frame momentum distributions of partons. This results in a complicated convolution nature of quasi-PDFs that necessitates using large p3≳3 GeV momenta to get reasonably close to the PDF limit. As an alternative approach, we propose using pseudo-PDFs P(x,z32) that generalize the light-front PDFs onto spacelike intervals and are related to Ioffe-time distributions M(ν,z32), the functions of the Ioffe time ν=p3z3 and the distance parameter z32 with respect to which it displays perturbative evolution for small z3. In this form, one may divide out the z32 dependence coming from the primordial rest-frame distribution and from the problematic factor due to lattice renormalization of the gauge link. The ν dependence remains intact and determines the shape of PDFs.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2f5c8c7908092d2c9a99b3e0060072a965b8b5af
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In Nuclear and High Energy Physics
- M. Constantinou
- Atlas Collaboration
- Krzysztof Cichy
- Juan Rojo
- Pavel M. Nadolsky
- E. Nocera
- A. Radyushkin
- C. Yuan
Citations in the corpus
- A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results (2018, background): “In the pseudo-distribution approach, a convenient way of eliminating these (multiplicative) divergences is to take the ratio M(ν, z(2)) =M(ν, z2)/M(0, z(2)) [77, 80].”
- Parton distributions and lattice-QCD calculations: Toward 3D structure (2020, methodology): “For example, the deeply virtual Compton scattering (DVCS) cross section can be expressed in terms of Compton form factors (CFFs) which are factorized into GPDs convoluted over the variable x with perturbatively calculated short-distance coefficient functions (Belitsky and Radyushkin, 2005; Diehl, 20”