Abstract
In this talk, we review a QCD factorization based approach to extract parton distribution and correlation functions from lattice QCD calculation of single hadron matrix elements of quark-gluon operators. We argue that although the lattice QCD calculations are done in the Euclidean space, the nonperturbative collinear behavior of the matrix elements are the same as that in the Minkowski space, and could be systematically factorized into parton distribution functions with infrared safe matching coefficients. The matching coefficients can be calculated perturbatively by applying the factorization formalism on to asymptotic partonic states.
Highlights
Parton distribution and correlation functions describe the fascinating relation between a hadron and the quarks and gluons within it
We argue that the lattice QCD calculations are done in the Euclidean space, the nonperturbative collinear behavior of the matrix elements are the same as that in the Minkowski space, and could be systematically factorized into parton distribution functions with infrared safe matching coefficients
With lattice QCD calculations of the hadronic matrix elements of the same operators on meson states, or states of baryons other than the proton, this QCD factorization approach could in principle extract Parton distribution functions (PDFs) of mesons or exotic baryons and their partonic structure, without performing high energy scattering on mesons and exotic baryons, which could be very difficult if not impossible
Summary
Parton distribution and correlation functions describe the fascinating relation between a hadron and the quarks and gluons (or partons) within it. Their extraction from data on hard probes in high energy scattering always rely on the validity of QCD factorization[5] or the approximation to neglect all contributions suppressed by inverse powers of the large momentum transfer. The connection between the PDFs and quasi-PDFs is further complicated by the fact that the operator defining the quasi-PDFs are power ultra-violet (UV) divergent, while the operators defining the normal PDFs have only logarithmic UV divergence In this talk, we review a QCD factorization approach, proposed recently by us,[12] for extracting PDFs from lattice QCD calculations of single hadron matrix elements of quark-gluon correlators. With lattice QCD calculations of the hadronic matrix elements of the same operators on meson states, or states of baryons other than the proton, this QCD factorization approach could in principle extract PDFs of mesons or exotic baryons and their partonic structure, without performing high energy scattering on mesons and exotic baryons, which could be very difficult if not impossible
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