Speaker
Description
We apply the Wilson-flow framework in lattice perturbation theory to study the renormalization of non-singlet twist-two quark bilinear operators containing up to five covariant derivatives. These operators are relevant for the determination of the first six moments of parton distribution functions. In our analysis, we derive the relevant Feynman rules by solving the lattice gauge and fermion flow equations perturbatively. We then compute the one-loop Feynman diagrams contributing to off-shell amputated Green’s functions of the flowed operators with external quark fields. Based on these results, we examine whether residual finite mixing effects allowed by hypercubic symmetry persist in the Green's functions of flowed operators after taking the continuum limit. Our lattice calculation can be useful for improving systematics in future studies employing flowed operators.