  We revisit the calculation of perturbative quark transverse momentum
dependent parton distribution functions and fragmentation functions using the
exponential regulator for rapidity divergences. We show that the exponential
regulator provides a consistent framework for the calculation of various
ingredients in transverse momentum dependent factorization. Compared to
existing regulators in the literature, the exponential regulator has a couple
of advantages which we explain in detail. As a result, the calculation is
greatly simplified and we are able to obtain the next-to-next-to-leading order
results up to $\mathcal{O}(\epsilon^2)$ in dimensional regularization. These
terms are necessary for a higher order calculation which is made possible with
the simplification brought by the new regulator. As a by-product, we have
obtained the two-loop quark jet function for the Energy-Energy Correlator in
the back-to-back limit, which is the last missing ingredient for its N$^3$LL
resummation.
