Quantum mechanics

Quark

Perturbation theory (quantum mechanics)

Lattice QCD

Particle physics

Gluon

Parton

Hadron

Acoustics

Quark–gluon plasma

Lattice (music)

Physics

Lattice field theory

Quantum chromodynamics

Distribution function

Chiral perturbation theory

Physical review. D/Physical review. D.

Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and the quarks and gluons within it. We propose to extract PDFs from QCD global analysis of ``data'' generated by lattice QCD calculations of good ``lattice cross sections,'' which are basically single-hadron matrix elements that are lattice QCD calculable and perturbative QCD factorizable into the PDFs. To demonstrate the existence of good ``lattice cross sections,'' we take quasiquark distribution introduced by Ji [Phys. Rev. Lett. 110, 262002 (2013)] as a case study to show that it could be factorized into the PDFs to all orders in perturbation theory if it can be multiplicatively renormalized. We calculate the factorized coefficients at the next-to-leading order in ${\ensuremath{\alpha}}_{s}$.

Extracting parton distribution functions from lattice QCD calculations