All-Order Corrections To Higgs Boson Production In Association With Jets

TL;DR

This paper introduces a new framework for calculating multi-jet observables in high-energy physics, focusing on Higgs boson production with jets, by leveraging amplitude factorisation in specific kinematic limits to achieve all-order predictions.

Contribution

It develops a novel approach based on amplitude factorisation and analyticity constraints to predict multi-jet processes at all orders, improving upon traditional fixed-order calculations.

Findings

Good agreement with fixed-order calculations at low orders

Provides firm predictions for all-order behaviour of Higgs plus jets

Applicable to LHC Higgs production scenarios

Abstract

We present a new framework for calculating multi-jet observables. The framework is based on the factorisation of scattering amplitudes in the kinematical limit of large invariant mass between all particles. We show that by constraining the analyticity of scattering amplitudes away from this limits, we get good agreement order by order with the full, fixed order perturbative calculation at the low orders where these are available, and therefore get firm predictions on the all-order behaviour. As an example, we study Higgs boson production through gluon fusion in association with at least two jets at the LHC.