One-Loop Matching for Generalized Parton Distributions

Understand

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.