# Jet cross sections at the LHC and the quest for higher precision

## TL;DR

This paper analyzes jet production processes at the LHC using advanced QCD calculations to improve the precision of theoretical predictions and understand the impact of jet radius on cross sections.

## Contribution

It provides a detailed comparison of fixed-order and matched NLO calculations for jet processes, including scale dependence and non-perturbative effects, enhancing precision in collider phenomenology.

## Key findings

- Scale dependence varies with jet radius and transverse momentum.
- Non-perturbative corrections depend on the jet radius.
- Matched NLO and parton shower results improve prediction accuracy.

## Abstract

We perform a phenomenological study of $Z$ plus jet, Higgs plus jet and di-jet production at the Large Hadron Collider. We investigate in particular the dependence of the leading jet cross section on the jet radius as a function of the jet transverse momentum. Theoretical predictions are obtained using perturbative QCD calculations at the next-to and next-to-next-to-leading order, using a range of renormalization and factorization scales. The fixed order predictions are compared to results obtained from matching next-to-leading order calculations to parton showers. A study of the scale dependence as a function of the jet radius is used to provide a better estimate of the scale uncertainty for small jet sizes. The non-perturbative corrections as a function of jet radius are estimated from different generators.