Abstract
The measurement of the triple Higgs coupling is a key benchmark for the LHC and future colliders. It directly probes the Higgs potential and its fundamental properties in connection to new physics beyond the Standard Model. There exist two phase space regions with an enhanced sensitivity to the Higgs self-coupling, the Higgs pair production threshold and an intermediate top pair threshold. We show how the invariant mass distribution of the Higgs pair offers a systematic way to extract the Higgs self-coupling, focusing on the leading channel $pp\to hh+X\to b\bar b\ \gamma\gamma+X$. We utilize new features of the signal events at higher energies and estimate the potential of a high-energy upgrade of the LHC and a future hadron collider with realistic simulations. We find that the high-energy upgrade of the LHC to 27 TeV would reach a 5$\sigma$ observation with an integrated luminosity of 2.5 ab$^{-1}$. It would have the potential to reach 15% (30%) accuracy at the 68% (95%) confidence level to determine the SM Higgs boson self-coupling. A future 100 TeV collider could improve the self-coupling measurement to better than 5% (10%) at the 68% (95%) confidence level.
Highlights
The discovery of the Higgs boson [1,2] at the CERN Large Hadron Collider (LHC) is of monumental significance
We focus on the two leading proposals for future hadron colliders: (1) the 27 TeV high-energy LHC (HE-LHC) with an integrated luminosity of 15 ab−1 and
Using a log-likelihood approach on this single kinematic distribution, we show that the Higgs self-coupling can be properly measured at a future 100 TeV collider and at the 27 TeV HE-LHC
Summary
The discovery of the Higgs boson [1,2] at the CERN Large Hadron Collider (LHC) is of monumental significance. Experimental advances have turned ATLAS and CMS into the first hadron collider precision experiments in history In combination, these developments open new avenues to tackle fundamental physics questions at the LHC and future high-energy facilities. It has been argued that a wide range of modified Higgs potentials, which result in a strong first-order EW phase transition, leads to order-one modifications of λSM [3] All of this points to the Higgs self-coupling λ as a benchmark measurement for the coming LHC runs, as well as any kind of planned colliders [4]. We start with a study of relevant phase space regions using a Neyman-Pearson maximum likelihood approach [17,21] This allows us to estimate the impact of using simple kinematic distributions on the measurement of the Higgs self-coupling at the different colliders. Using a log-likelihood approach on this single kinematic distribution, we show that the Higgs self-coupling can be properly measured at a future 100 TeV collider and at the 27 TeV HE-LHC
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