Renormalization of Wilson-line operators in the presence of nonzero quark masses

Understand

In this paper, we examine the effect of nonzero quark masses on the renormalization of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson line (called Wilson-line operators).

• These operators are relevant to the definition of parton quasi-distribution functions, the calculation on the lattice of which allows the direct nonperturbative study of the corresponding physical parton distribution functions.
• We present our perturbative calculations of the bare Green's functions, the renormalization factors in RI' and MSbar schemes, as well as the conversion factors of these operators between the two renormalization schemes.
• Our computations have been performed in dimensional regularization at one-loop level, using massive quarks.