# Fiducial cross sections for the four-lepton decay mode in Higgs-plus-jet production up to NNLO QCD

## TL;DR

This paper presents NNLO QCD calculations of fiducial cross sections for Higgs boson decaying into four leptons in Higgs-plus-jet production, highlighting the impact of QCD corrections and measurement definitions on experimental results.

## Contribution

The study provides the first NNLO QCD corrections to fiducial cross sections in Higgs-plus-jet production for the four-lepton decay mode, analyzing measurement definition effects.

## Key findings

- QCD corrections significantly affect fiducial acceptance factors.
- Differences in lepton isolation impact higher order correction calculations.
- The results improve the precision of Higgs property measurements.

## Abstract

The four-lepton decay mode of the Higgs boson allows for a clean kinematic reconstruction, thereby enabling precision studies of the Higgs boson properties and of its production dynamics. We compute the NNLO QCD corrections to fiducial cross sections relevant to this decay mode in the gluon-fusion production of a Higgs boson in association with a hadronic jet, and study the impact of the QCD corrections on the fiducial acceptance factors in inclusive Higgs and Higgs-plus-jet production. We investigate in detail the different definitions used in the ATLAS and CMS measurements to define the fiducial cross sections. Differences in the lepton isolation prescription are found to have a sizeable impact on the higher order corrections to the fiducial acceptance factors.