  The Collins-Soper kernel, which governs the energy evolution of
transverse-momentum dependent parton distribution functions (TMDPDFs), is
required to accurately predict Drell-Yan like processes at small transverse
momentum, and is a key ingredient for extracting TMDPDFs from experiment.
Earlier we proposed a method to calculate this kernel from ratios of the
so-called quasi-TMDPDFs determined with lattice QCD, which are defined as
hadronic matrix elements of staple-shaped Euclidean Wilson line operators. Here
we provide the one-loop renormalization of these operators in a
regularization-independent momentum subtraction (RI$^\prime$/MOM) scheme, as
well as the conversion factor from the RI$^\prime$/MOM-renormalized
quasi-TMDPDF to the $\overline{\rm MS}$ scheme. We also propose a procedure for
calculating the Collins-Soper kernel directly from position space correlators,
which simplifies the lattice determination.
