Lattice Calculation of the Generalized Parton Distributions with the LaMET Approach
The generalized parton distributions (GPDs) can be calculated from the corresponding quasi-GPDs through the large-momentum effective theory approach. Using operator product expansion, we strictly derive the factorization formula which matches the quasi-GPDs to GPDs. We also calculate the one-loop matching coefficients for the quasi-GPDs in the ¯MS¯¯¯¯¯¯¯MS and a regularization-independent momentum subtraction scheme. These results will lay the foundation for a systematic extraction of GPDs from lattice QCD.