Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD

TL;DR

This paper provides the most precise predictions to date for the Higgs boson transverse momentum spectrum and total cross section at the LHC, incorporating third-order QCD corrections and fiducial cuts.

Contribution

It introduces the first third-order (N$^3$LO) fiducial cross section prediction for Higgs production with resummation at the LHC.

Findings

N$^3$LO correction is significantly enhanced by fiducial cuts.

Resummation improves the accuracy of the Higgs $p_T$ spectrum.

Highest-order predictions achieved for Higgs production at a hadron collider.

Abstract

We present predictions for the gluon-fusion Higgs $p_T$ spectrum at third resummed and fixed order (N$^3$LL$'+$N$^3$LO) including fiducial cuts as required by experimental measurements at the Large Hadron Collider. Integrating the spectrum, we predict for the first time the total fiducial cross section to third order (N$^3$LO) and improved by resummation. The N$^3$LO correction is enhanced by cut-induced logarithmic effects and is not reproduced by the inclusive N$^3$LO correction times a lower-order acceptance. These are the highest-order predictions of their kind achieved so far at a hadron collider.