Five years ago, a Higgs boson was found at the LHC. Better precision is now required to disentangle the properties of the Higgs and find flaws in the Standard Model. In this talk I will introduce some of the challenges that arise with Next-to-Next-to-Leading Order calculations for Higgs phenomenology and I will introduce a NNLO calculation of Vector Boson Fusion Higgs production using the antenna subtraction method.