  In this letter, we present the NNLL-NNLO transverse momentum Higgs
distribution arising from gluon fusion. In the regime $p_\perp\ll m_H$ we
include the resummation of the large logs at next to next-to leading order and
then match on to the $\alpha_s^2$ fixed order result near $p_\perp \sim m_h$.
By utilizing the rapidity renormalization group (RRG) we are able to smoothly
match between the resummed, small $p_\perp$ regime and the fixed order regime.
We give a detailed discussion of the scale dependence of the result including
an analysis of the rapidity scale dependence. Our central value differs from
previous results, in the transition region as well as the tail, by an amount
which is outside the error band. This difference is due to the fact that the
RRG profile allows us to smoothly turn off the resummation.
