Azimuthal Angle Correlations for Higgs Boson plus Multi-Jet Events

TL;DR

This paper extends the analysis of azimuthal angle correlations in Higgs plus multi-jet events beyond tree-level, proposing optimized cuts and observables that are stable against higher-order corrections, enhancing CP-property studies.

Contribution

It generalizes CP-studies using azimuthal angles to include multi-jet events and higher-order effects, providing optimized analysis strategies and stable observables.

Findings

Optimized phase space cuts enhance azimuthal correlations.

The proposed observable remains stable under higher-order corrections.

Comparison of different theoretical frameworks for Higgs plus jets production.

Abstract

At lowest order in perturbation theory, the scattering matrix element for Higgs boson production in association with dijets displays a strong correlation in the azimuthal angle between the dijets, induced by the CP-properties of the Higgs Boson coupling. However, the phase space cuts necessary for a clean extraction of the CP-properties simultaneously induce large corrections from emissions of hard radiation and thus formation of extra jets. The current study concerns the generalization of CP-studies using the azimuthal angle between dijets beyond tree-level and to events with more than just two jets. By analyzing the High Energy Limit of hard scattering matrix elements we arrive at a set of cuts optimized to enhance the correlation, while maintaining a large cross section, and an observable, which is very stable against higher order corrections. We contrast the description of Higgs boson production in association with jets at different levels: for tree-level hjj and hjjj matrix elements, for hjj matrix elements plus parton shower, and in a recent all-order framework, which converges to the full, all-order perturbative result in the limit of large invariant mass between all produced particles.