  We establish robust relations between Transverse Momentum Dependent
distributions (TMDs) and collinear distributions. We define weighted integrals
of TMDs that we call Transverse Momentum Moments (TMMs) and prove that TMMs are
equal to collinear distributions evaluated in some minimal subtraction scheme.
The conversion to the $\bar{MS}$-scheme can be done by a calculable factor,
which we derive up to three loops for some cases. We discuss in detail the
zeroth, the first, and the second TMMs and provide phenomenological results for
them based on the current extractions of TMDs. The results of this paper open
new avenues for theoretical and phenomenological investigation of the
three-dimensional and collinear hadron structures.
