I will present a new, refined, version of the "affinity" tool, based on an Monte Carlo event-by-event mapping of the SIDIS kinematic regions. Affinity is a diagnostic tool that allows us to quantify our level of confidence in the application of the appropriate factorization theorem (TMD or collinear) in each kinematic bin (x,Q^2,z,P_T) in which the final hadron is produced in SIDIS processes.
We present the framework for obtaining precise predictions for the transverse momentum of hadrons with respect to the thrust axis in ep collisions. This will enable a precise extraction of TMD parton distributions. To this end, we make use of the derived factorization theorems within Soft Collinear Effective Theory, and calculate and renormalize the present functions. That is, the thrust-soft,...
