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We apply the joint threshold and transverse momentum dependent (TMD)factorization theorem to introduce new threshold-TMD distribution functions,including threshold-TMD parton distribution functions (PDFs) and fragmentationfunctions (FFs). We apply Soft-Collinear Effective Theory and renormalizationgroup methods to carry out QCD evolution for both threshold-TMD PDFs and FFs.We show the universality of threshold-TMD functions among three standardprocesses, i.e. the Drell-Yan production in $pp$ collisions, semi-inclusivedeep-inelastic scattering and back-to-back two hadron production in $e^+e^-$collisions. In the end, we present the numerical predictions for differentthreshold-TMD functions and also transverse momentum distributions at $pp$,$ep$, and $e^+e^-$ collisions.

Transverse momentum dependent distribution functions in the threshold limit