One-Loop Matching for Generalized Parton Distributions

Abstract

We present the one-loop matching condition for the unpolarized and polarized generalized quark distributions in the non-singlet case. The matching condition links the quasi distributions defined in terms of spacelike correlators at finite nucleon momentum to the light-cone distributions, and is useful for extracting the latter from the former in a lattice QCD calculation. Our results show that at one-loop and leading power accuracy the matching for the light-cone generalized quark distribution $H$ ($\tilde{H}$) is non-trivial, whereas no matching is required for $E$ ($\tilde{E}$). Therefore, $E$ ($\tilde{E}$) can be smoothly approached by its quasi counterpart in the large momentum limit. We also present the matching for the distribution amplitude of the pion.

16 pages, 1 figure

Cited by in corpus (5)

• Parton distributions and lattice QCD calculations: toward 3D structure
• Generalized quasi parton distributions in a diquark spectator model
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Quasi Distribution Amplitude of Heavy Quarkonia