# Jet clustering dependence of VBF Higgs production

## TL;DR

This paper examines how different jet clustering algorithms affect the NNLO QCD predictions for Higgs production via vector-boson fusion, revealing that larger clustering radii reduce correction impacts.

## Contribution

It introduces a method to derive NNLO results for various jet definitions from existing NLO calculations, highlighting the influence of jet clustering choices on theoretical predictions.

## Key findings

- Larger jet clustering radii decrease NNLO correction effects.
- Broader energy flow inside jets at NNLO causes sizable corrections.
- Jet definition significantly impacts differential NNLO predictions.

## Abstract

Precise predictions for Higgs production via vector-boson fusion play an important role when testing the properties of the Higgs boson and probing new-physics effects. While the inclusive cross section changes little when including NNLO and N3LO QCD corrections, a differential NNLO calculation with typical VBF cuts shows large corrections of up to 10% in distributions. In this article, we investigate the dependence of the differential NNLO QCD calculation on the jet definition. Starting from the known results at a fixed jet clustering choice, we use the electroweak H+3 jets production cross section at NLO precision to derive NNLO results for H+2 jets production for other jet definitions. We find that larger clustering radii significantly reduce the impact of NNLO corrections. The sizable NNLO corrections for distributions are largely caused by the broader energy flow inside jets at NNLO and are to be expected generally for processes with jets at LO.