Abstract

The gluon fusion component of Higgs-boson production in association with dijets is of particular interest because it both (a) allows for a study of the CP-structure of the Higgs-boson couplings to gluons, and (b) provides a background to the otherwise clean study of Higgs-boson production through vector-boson fusion. The degree to which this background can be controlled, and the CP-structure of the gluon-Higgs coupling extracted,both depend on the successful description of the perturbative corrections to the gluon-fusion process.High Energy Jets (HEJ) provides all-order, perturbative predictions for multi-jet processes at hadron colliders at a fully exclusive, partonic level. We develop the framework of HEJ to include the process of Higgs-boson production in association with at least two jets. We discuss the logarithmic accuracy obtained in the underlying all-order results, and calculate the first next-to-leading corrections to the framework of HEJ, thereby significantly reducing the corrections which arise by matching to and merging fixed-order results.Finally, we compare predictions for relevant observables obtained with NLO and HEJ. We observe that the selection criteria commonly used for isolating the vector-boson fusion component suppresses the gluon-fusion component even further than predicted at NLO.

Highlights

  • We compare predictions for relevant observables obtained with NLO and High Energy Jets (HEJ)

  • At the LHC, this process would occur perturbatively in the process of Higgs boson production in association with at least two hard jets. This process is of interest not just as a perturbative correction (at order O(αs4)) to the inclusive Higgs boson production through gluon fusion, and as a O(αw4 ) Born level process that allows for a direct measurement of the strength of the coupling between the Higgs boson and the weak bosons

  • While the inclusive gluon fusion (GF) cross section is dominated by the gg-component, the qg-component dominates [17, 18] after a large invariant mass between the dijets is required

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Summary

The formal accuracy of high energy jets

We will present the procedure used for obtaining predictions within High Energy Jets (HEJ). Underpinning HEJ is an all-order approximation to the on-shell, hard-scattering matrix elements, explicit in the momenta of all particles, and for each multiplicity. The all-order approximations are supplemented by corrections using the fixed-order (so far just tree-level) predictions for several jet multiplicities. HEJ provides an alternative procedure for merging fixed-order samples of various jet multiplicities to that of CKKW-L [36, 37], which is based on the logarithmic accuracy achieved in a parton shower. The merging procedure of HEJ maintains both the logarithmic accuracy at large invariant mass between jets (as discussed in the session) and the fixed-order accuracy of the merged samples

Logarithmic corrections and logarithmic accuracy
Leading contributions at large invariant mass
Leading contribution from perturbative QCD
Dominant contributions at arbitrary multiplicities
Fadin-Kuraev-Lipatov amplitudes
Construction of the simplest HEJ amplitude
Regularisation and leading logarithmic all-order cross sections
The first set of sub-leading corrections
High energy corrections to Higgs boson production with jets
Higgs boson with rapidity between that of hard jets
Higgs boson with rapidity outside that of hard jets
Perturbative validation of the approximations
Matching and merging of fixed order samples and final results
Analysis of results
Setup and parameters
Differential distributions for Higgs boson plus dijets
Findings
Conclusions
Full Text
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