Large momentum effective field theory provides a new direction for lattice QCD calculations of hadronic structure functions, such as parton distribution functions (PDFs), meson distribution amplitudes, and so on, directly with
x-dependence. In the framework of lattice perturbation theory, we compute the order
and
corrections of
... [Show full abstract] one-loop quark-in-quark quasi-PDF with Wilson-Clover fermions. We confirm that the lattice perturbation theory-calculated quasi-PDF reduces to the continuum quasi-PDF in the continuum limit. We point out, however, that the continuum limit and massless quark limit do not commute. As a consequence, the collinear divergence is absent in the quasi-PDF at any finite lattice spacing and we find the correct condition to recover the continuum quasi-PDF is , where is the light-cone momentum in the direction of the quark's motion. We also calculate the corrections to lattice perturbation quasi-PDF. These vanish in the chiral limit with the na\"ive fermion action since they are proportional to the quark mass m and Wilson parameter r. For nonzero r, the corrections are subsequently mixed with terms in the quasi-PDF.