Abstract
We compute the factorising second-order QCD corrections to the electroweak production of a Higgs boson through vector boson fusion. Our calculation is fully differential in the kinematics of the Higgs boson and of the final state jets, and uses the antenna subtraction method to handle infrared singular configurations in the different parton-level contributions. Our results allow us to reassess the impact of the next-to-leading order (NLO) QCD corrections to electroweak Higgs-plus-three-jet production and of the next-to-next-to-leading order (NNLO) QCD corrections to electroweak Higgs-plus-two-jet production. The NNLO corrections are found to be limited in magnitude to around ±5% and are uniform in several of the kinematical variables, displaying a kinematical dependence only in the transverse momenta and rapidity separation of the two tagging jets.
Highlights
The discovery of the Higgs boson at the CERN Large Hadron Collider (LHC) [1] has initiated an intensive program of precision measurements of the Higgs boson properties, and of its interactions with all other elementary particles
We present an independent derivation of the second-order QCD corrections to the electroweak Higgs-plus-twojet (VBF-2 j) production process, and use these to make next-to-leading order (NLO) QCD predictions for vector boson fusion (VBF) Higgs-plus-three-jet production (VBF-3 j) and next-to-next-to-leading order (NNLO) QCD predictions for VBF-2 j production
Our results are implemented in the NNLOjet framework, and can be used to compute any infrared-safe observable derived from the VBF process up to O(αs2)
Summary
The discovery of the Higgs boson at the CERN Large Hadron Collider (LHC) [1] has initiated an intensive program of precision measurements of the Higgs boson properties, and of its interactions with all other elementary particles. The Higgs boson can be produced at hadron colliders [2] either through its Yukawa coupling to the top quark (in gluon fusion through a closed top quark loop or by associated production with top quarks) or through its coupling to the electroweak gauge bosons. The detailed experimental study of the VBF production mode probes the electroweak coupling structure of the Higgs boson, thereby testing the Higgs mechanism of electroweak symmetry breaking.
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