Precision Predictions for the Higgs Transverse Momentum Distribution

In this talk I will report on the prediction for the Higgs transverse momentum distribution at NNLL+NNLO.
This includes smoothly matching the resummed small pt region with the fixed order regime. Special
attention is given to the errors induced by scale dependence as well as enhanced non-pertrubative
corrections. In particular, I will discuss how the resummation of rapidity Logs using the Rapidity renormalization group introduces additional scale dependence beyond the canonical scale dependence found in perturbation theory. I will also discuss how the transverse momentum distribution can be used as a sharp tool in the search for physics beyond the standard model.