Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions

In the framework of large-momentum effective theory at one-loop matching accuracy, we perform a lattice calculation Collins-Soper kernel which governs rapidity evolution transverse-momentum-dependent (TMD) distributions. We first obtain quasi TMD wave functions three different meson momenta on with valence clover quarks dynamical HISQ sea and spacing $a=0.12$~fm from MILC, renormalize pertinent linear divergences using Wilson loops. Through to light-cone functions, determine transverse separation up 0.6~fm. study systematic uncertainties operator mixing scale dependence, as well impact higher power corrections. Our results potentially allow for determination soft function other transverse-momentum dependent quantities accuracy.