Precision Predictions at N$^3$LO for the Higgs Boson Rapidity Distribution at the LHC

TL;DR

This paper provides highly precise N$^3$LO QCD predictions for the Higgs boson rapidity distribution at the LHC, improving theoretical accuracy and reducing scale dependence across all rapidities.

Contribution

It introduces a fully analytic calculation of six key terms in the N$^3$LO expansion for Higgs production, enhancing prediction precision.

Findings

Mild correction compared to previous orders

Significant reduction in scale dependence

Improved theoretical accuracy across rapidity range

Abstract

We present precise predictions for the Higgs boson rapidity distribution at the LHC in the gluon fusion production mode. Our approach relies on the fully analytic computation of six terms in a systematic expansion of the partonic differential cross section around the production threshold of the Higgs boson at next-to-next-to-next-to leading order (N$^3$LO) in QCD perturbation theory. We observe a mild correction compared to the previous perturbative order and a significant reduction of the dependence of the cross section on the perturbative scale throughout the entire rapidity range.