Orateur
Description
We describe a novel procedure to determine moments of parton distribution functions of any order with lattice QCD computations. The procedure is based on the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators renormalize multiplicatively, and the matching with physical matrix elements is obtained making use of continuum symmetries. We calculate the matching coefficients at one-loop in perturbation theory for moments of any order in the flavor non-singlet case, and give specific examples of operators that could be used in lattice QCD computations. The multiplicative renormalization and matching is independent on the choice of Lorentz indices, thus permitting the utilization of temporal indices for twist-2 operators of any dimension. This should substantially improve the signal-to-noise ratio in the computation of the moments.
