# Higgs boson gluon-fusion production in N3LO QCD

**Authors:** Charalampos Anastasiou, Claude Duhr, Falko Dulat, Franz Herzog, Bernhard Mistlberger  
**arXiv:** [1503.06056](https://arxiv.org/abs/1503.06056)  
**Date:** 2015-03-20  
**Summary page:** https://www.summarizepaper.com/en/paper/1503.06056v1/

## Key points

- The paper is titled "Higgs boson gluon-fusion production in N3LO QCD"
- The authors present a detailed calculation of the hadronic cross-section for the production of a Higgs boson at hadron-colliders
- The calculation is based on a method to perform a series expansion of the partonic cross-section around the threshold limit to an arbitrary order
- The authors find that for renormalisation and factorisation scales equal to half the Higgs mass, the N3LO corrections are of the order of +2.2%
- This reduces the uncertainty due to missing higher-order QCD corrections by a factor of three
- The total scale variation at N3LO is 3%, which further reduces uncertainties associated with missing higher-order corrections
- This study provides an important contribution to our understanding of Higgs boson production at hadron colliders
- Advanced mathematical techniques can be used to improve predictions for particle physics experiments

## Summary

In their paper titled "Higgs boson gluon-fusion production in N3LO QCD," Charalampos Anastasiou, Claude Duhr, Falko Dulat, Franz Herzog, and Bernhard Mistlberger present a detailed calculation of the hadronic cross-section for the production of a Higgs boson at hadron-colliders. The authors base their calculation on a method to perform a series expansion of the partonic cross-section around the threshold limit to an arbitrary order. They perform this expansion to sufficiently high order to obtain the value of the hadronic cross at N3LO in the large top-mass limit. The authors find that for renormalisation and factorisation scales equal to half the Higgs mass, the N3LO corrections are of the order of +2.2%. This result is significant because it reduces the uncertainty due to missing higher-order QCD corrections by a factor of three. The total scale variation at N3LO is 3%, which further reduces uncertainties associated with missing higher-order corrections. Overall, this study provides an important contribution to our understanding of Higgs boson production at hadron colliders and demonstrates how advanced mathematical techniques can be used to improve our predictions for particle physics experiments.