High Energy Resummed Predictions for the Production of a Higgs Boson with at least One Jet

TL;DR

This paper introduces all-order high energy resummed predictions for Higgs production with at least one jet, incorporating full quark mass dependence and phase space resummation, improving accuracy over previous models.

Contribution

First to perform $ ext{log}( ext{s})$ resummation matched to fixed order for Higgs plus one jet, extending resummation techniques to this process and beyond.

Findings

Resummation significantly affects key distribution shapes.

Results agree well with LHC data and NLO predictions.

Resummation impacts persist after cross section normalization.

Abstract

We present all-order predictions for Higgs boson production plus at least one jet which are accurate to leading logarithm in $\hat s/|p_\perp|^2$. Our calculation includes full top and bottom quark mass dependence at all orders in the logarithmic part, and to highest available order in the tree-level matching. The calculation is implemented in the framework of High Energy Jets (HEJ). This is the first cross section calculated with $\log(\hat s)$ resummation and matched to fixed order for a process requiring just one jet, and our results also extend the region of resummation for processes with two jets or more. This is possible because the resummation is performed explicitly in phase space. We compare the results of our new calculation to LHC data and to next-to-leading order predictions and find a numerically significant impact of the logarithmic corrections in the shape of key distributions, which remains after normalisation of the cross section.