A New Framework for Multijet Predictions and its application to Higgs Boson production at the LHC

Abstract

We present a new framework for calculating multi-jet observables through resummation. The framework is based on the factorisation of scattering amplitudes in an asymptotic limit. By imposing simple constraints on the analytic behaviour of the result when applied away from this limit, we get good agreement with the known lowest order perturbative behaviour of the scattering amplitude, and predictions for the behaviour to all orders in the perturbative series. As an example of application we study predictions for Higgs Boson production through gluon fusion at the LHC in association with at least two jets.

Figures (3)

• Figure 1: The 2 and 3 parton cross-sections calculated using the known LO matrix elements (solid), and the estimate gained from the modified high energy limit (dashed). The uncertainty band on the LO result corresponds to scale variation by a factor of two.
• Figure 2: Distribution of number of jets, obtained using the modified FKL approach, matched to the exact tree level results for 2 and 3 partons. The shaded uncertainty bands are obtained by scale variations.
• Figure 3: The transverse momentum spectrum of the Higgs boson in the process $pp\to h+n$jets at tree-level for $n=2$, $n=3$, and the transverse momentum spectrum obtained in the resummed approach presented in this paper.