Abstract
The fully differential computation of the hadronic production cross section of a Higgs boson via bottom quarks is presented at NNLO in QCD. Several differential distributions with their corresponding scale uncertainties are presented for the 8 TeV LHC. This is the first application of the method of non-linear mappings for NNLO differential calculations at hadron colliders.
Highlights
(among which the MSSM is the most studied example) the Yukawa coupling to down-type quarks is enhanced by a factor of tan β and the contribution of the bb → H process becomes significant
We have presented the fully differential NNLO calculation of bb → H, a process of prime phenomenological importance for the LHC in all models with enhanced bottom Yukawa couplings
We have presented a variety of differential distributions for Higgs production that can only be obtained with a fully differential calculation and are useful for assessing the quality of the perturbative expansion and the level under which several features are under control at a fully differential level
Summary
One of the merits of fully differential calculations is the possibility to arrive at theoretical predictions for observables in the presence of final state phase-space cuts, like those used in experimental analyses, under the precondition that the observable defined is infra-red safe. The usual role of the jet function J is to apply arbitrary final state phase-space cuts while ensuring infra-red safety. We promote it to a further task, which is to keep track of the bin-integrated cross section for any given differential observable with or without applying phase-space cuts. This can be achieved at the level of Monte Carlo integration by passing to J the set of final state momenta and the weight of the given event. In such cases the jet function is keeping track of the kinematics of every subtraction term
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