%0 Journal Article
%A Shu, Hai-Tao
%A Schlemmer, Maximilian
%A Sizmann, Tobias
%A Vladimirov, Alexey
%A Walter, Lisa
%A Engelhardt, Michael
%A Schäfer, Andreas
%A Yang, Yi-Bo
%T Universality of the Collins-Soper kernel in lattice calculations
%D 2023
%@ 2470-0010
%U https://hdl.handle.net/20.500.14352/102565
%X The Collins-Soper (CS) kernel is a nonperturbative function that characterizes the rapidity evolution of transverse-momentum-dependent parton distribution functions (TMDPDFs) and wave functions. In this paper, we calculate the CS kernel for pion and proton targets and for quasi-TMDPDFs of leading and next-To-leading power. The calculations are carried out on the CLS ensemble H101 with dynamical Nf=2+1 clover-improved Wilson fermions. Our analyses demonstrate the consistency of different lattice extractions of the CS kernel for mesons and baryons, as well as for twist-Two and twist-Three operators, even though lattice artifacts could be significant. This consistency corroborates the universality of the lattice-determined CS kernel and suggests that a high-precision determination of it is in reach.
%~