  We calculate the unpolarized transverse momentum dependent fragmentation
function (TMDFF) at next-to-next-to-leading order (NNLO), evaluating separately
TMD soft factor and TMD collinear correlator. For the first time the
cancellation of spurious rapidity divergences in a properly defined individual
TMD beyond the first non-trivial order is shown. This represents a strong check
of the given TMD definition. We extract the matching coefficient necessary to
perform the transverse momentum resummation at
next-to-next-to-next-to-leading-logarithmic accuracy. The universal character
of the soft function, which enters the definition of all (un)polarized TMD
distribution/fragmentation functions, facilitates the future calculation of all
the other TMDs and their coefficients at NNLO, pushing forward the accuracy of
theoretical predictions for the current and next generation of high energy
colliders.
