Jet vetoes for Higgs production at future hadron colliders

TL;DR

This paper evaluates the impact of resummation techniques on Higgs production cross sections at future high-energy colliders, showing significant differences from fixed-order predictions and emphasizing the importance of resummation for accurate results.

Contribution

It provides a detailed comparison of fixed-order and resummed calculations for Higgs production at 33 and 100 TeV colliders, highlighting the necessity of resummation in new kinematic regimes.

Findings

Resummation reduces scale uncertainties by a factor of two or more.

Differences between fixed-order and resummed results are 10-20%.

Resummation is essential in several high-energy kinematic regimes.

Abstract

We study Higgs boson production in exclusive jet bins at possible future 33 and 100 TeV proton-proton colliders. We compare the cross sections obtained using fixed-order perturbation theory with those obtained by also resuming large logarithms induced by the jet-binning in the gluon-fusion and associated production channels. The central values obtained by the best-available fixed-order predictions differ by $10-20\%$ from those obtained after including resummation over the majority of phase-space regions considered. Additionally, including the resummation dramatically reduces the residual scale variation in these regions, often by a factor of two or more. We further show that in several new kinematic regimes that can be explored at these high-energy machines, the inclusion of resummation improvement is mandatory.