Renormalization in Large Momentum Effective Theory of Parton Physics

In the large-momentum effective field theory approach to parton physics, the matrix elements of nonlocal operators of quark and gluon fields, linked by straight Wilson lines in a spatial direction, are calculated in lattice quantum chromodynamics as a function of hadron momentum. Using the heavy-quark effective theory formalism, we show a multiplicative renormalization of these operators at all orders in perturbation theory, both in dimensional and lattice regularizations. The result provides a theoretical basis for extracting parton properties through properly renormalized observables in Monte Carlo simulations.United States. Department of Energy. Office of Nuclear Physics (Awards DE-FG02-93ER-40762)United States. Department of Energy. Office of Nuclear Physics (Awards DESC0011090)National Natural Science Foundation (China) (Grant 11405104)German Research Foundation (SFB/TRR-55