# The effect of LHC ATLAS jet production cross sections data at $ \sqrt{s} = 7$ TeV on the proton PDFs up to N3LO

## TL;DR

This study assesses how LHC ATLAS jet production data at 7 TeV impacts the precision of proton PDFs up to N3LO, showing significant uncertainty reduction especially for gluon and charm distributions.

## Contribution

It is the first to analyze the effect of 7 TeV LHC jet data on proton PDFs up to N3LO accuracy, improving fit quality and reducing uncertainties.

## Key findings

- Uncertainty in gluon and charm PDFs decreases significantly.
- Adding LHC data improves fit quality by up to 2.8%.
- Proton PDFs are better constrained with combined HERA and LHC data.

## Abstract

The effect of full $7$ sets of LHC ATLAS jet cross sections data at $ \sqrt{s} = 7$ TeV on the proton parton distribution functions (PDFs) up to next-to-next-to-next-to-leading order (NNNLO or N3LO) corrections is investigated for the first time. Phenomenologically, the proton central PDFs in this perturbative Quantum Chromo Dynamics (pQCD) analysis are defined based on the full seven data sets from HERA I and II combined. It is shown that, the LHC ATLAS jet cross sections data at $ \sqrt{s} = 7$ TeV on the HERA I and II combined data reduces the error band of proton PDFs. Particularly, the uncertainties of the gluon $xg(x,Q^2)$ and charm $xc(x,Q^2)$ distributions decrease dramatically. Adding the LHC ATLAS jet cross sections data at $ \sqrt{s} = 7$ TeV on the central proton PDFs improves the quality of the fit up to $\sim 1.53$ \%, $\sim 2.72$ \% and $\sim 2.80$ \% corresponding to next-to-leading order (NLO), next-to-next-to leading order (N2LO) and N3LO, respectively.