RG improved Higgs boson production to N$^3$LO in QCD

TL;DR

This paper introduces a novel RG resummation method for Higgs boson production at N$^3$LO in QCD, significantly reducing theoretical uncertainties and improving prediction precision.

Contribution

It presents a new approach to resumming renormalization group logarithms to all orders, enhancing the accuracy of Higgs production predictions at high perturbative orders.

Findings

Reduced scale uncertainties in Higgs production predictions.

Improved agreement with experimental data.

Demonstrated effectiveness of RG resummation in QCD calculations.

Abstract

The recent result on the third order correction to the Higgs boson production through gluon fusion by Anastasiou et al. [1] not only provides a precise prediction with reduced scale uncertainties for studying the Higgs boson properties but also establishes the reliability of the perturbative QCD. In this letter, we propose a novel approach to further reduce the uncertainty arising from the renormalization scale by systematically resumming the renormalization group (RG) accessible logarithms to all orders in the strong coupling constant. Our numerical study based on this approach, demonstrates a significant improvement over the fixed order predictions.