Double Higgs production at the 14 TeV LHC and the 100 TeV pp-collider

TL;DR

This paper analyzes Higgs boson pair production at 14 TeV and 100 TeV colliders, focusing on effective couplings, and provides methods to measure these couplings with projected collider sensitivities.

Contribution

It introduces a cut efficiency function based on s-wave kinematics to estimate collider sensitivities for Higgs effective couplings.

Findings

Dominance of s-wave component in gg→hh process at high energies

Analytical expressions for exclusion limits and discovery bands

Methodology applicable to future collider analyses

Abstract

We consider effective Higgs boson couplings, including both the CP-even and CP-odd couplings, that affect Higgs boson pair production in this study. Through the partial wave analysis, we find that the process $gg\to hh$ is dominated by the $s$-wave component even at a 100~TeV $pp$-collider. Making use of the $s$-wave kinematics, we propose a cut efficiency function to mimic the collider simulation and obtain the potential of measuring Higgs effective couplings at the 14~TeV LHC with an integrated luminosity of $3000~{\rm fb}^{-1}$ and at a 100 TeV $pp$-collider. Analytical expressions of the $2\sigma$ exclusion limits at the LHC and the $5\sigma$ discovery bands at the 100 TeV machine are given.