# Single jet inclusive production for the individual jet $p_{T}$ scale choice at the LHC

## TL;DR

This paper presents a next-to-next-to-leading order QCD calculation of the single jet inclusive cross section at the LHC, focusing on the impact of different jet transverse momentum scale choices and comparing with ATLAS data.

## Contribution

It introduces a detailed NNLO calculation with individual jet scale choice and compares its effects to the leading jet scale choice in the context of LHC jet data.

## Key findings

- NNLO predictions match ATLAS data within uncertainties.
- Individual jet scale choice affects the theoretical predictions.
- Comparison shows differences between scale choices are significant.

## Abstract

We study the single jet inclusive cross section up to next-to-next-to leading order in perturbative QCD, implemented in the parton-level event generator NNLOJET . Our results are fully differential in the jet transverse momentum and rapidity and we apply fiducial cuts for comparison with the available ATLAS 7 TeV 4.5 fb$^{-1}$ data for jet radius $R=0.4$. For the theoretical calculation we employ the antenna subtraction method to reliably cancel all infrared divergences present at intermediate stages of the calculation. We present all results using the individual jet transverse momentum $\mu_{R}=\mu_{F}\sim p_{T}$ as the renormalization and factorization scale for each jet's contribution to the single jet inclusive cross section. Finally, we consider the differences between our predictions using this scale choice to those for the leading jet transverse momentum scale choice, $\mu_{R}=\mu_{F}\sim p_{T_{1}}$, used in [14], with reference to the ATLAS data.