We use the recently proposed jettiness-subtraction scheme to provide the complete calculation of Higgs boson production in association with a jet in hadronic collisions through next-to-next-to-leading order in perturbative QCD. This method exploits the observation that the N-jettiness event-shape variable completely describes the singularity structure of QCD when final-state colored particles are present. Our results are in agreement with a recent computation of the gg and qg partonic initial states based on sector-improved residue subtraction. We present phenomenological results for both fiducial cross sections and distributions at the LHC.
Boughezal, R., Focke, C., Giele, W., Liu, X., & Petriello, F. (2015). Higgs boson production in association with a jet using jettiness subtraction. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 748, 5–8. https://doi.org/10.1016/j.physletb.2015.06.055