Higgs bosons at high pT

We present a calculation of H+j at next-to-leading order including the effect of a finite top mass. Where possible we include the complete dependence on mt. This includes the leading order amplitude, the infrared poles of the two-loop amplitude and the real radiation amplitude. The remaining finite piece of the virtual correction is considered in an asymptotic expansion in mt, which is accurate to mt-4. By successively including more mt-exact pieces, the dependence on the asymptotic series diminishes and we find convergent behavior for pT,H>mt for the first time. Our results justify rescaling by the mt-exact leading-order (LO) cross section to model top-mass effects in effective field theory results up to pT of 250 to 300 GeV. We show that the error made by using the LO rescaling becomes comparable to the next-to-next-to-leading-order scale uncertainty for such large energies. We implement our results into the Monte Carlo code mcfm.