Measuring Higgs Boson Self-couplings with $2\to 3$ VBS Processes

Abstract

We study the measurement of Higgs boson self-couplings through $2\to 3$ vector boson scattering (VBS) processes in the framework of Standard Model effective field theory (SMEFT) at both proton and lepton colliders. The SMEFT contribution to the amplitude of the $2\to 3$ VBS processes, taking $W_L{W}_L\to W_L{W}_{L}h$ and $W_L{W}_L\to hhh$ as examples, exhibits enhancement with the energy $\frac{{\mathcal{A}}^{\text{BSM}}}{{\mathcal{A}}^{\text{SM}}}\sim \frac{E^2}{{\Lambda }^2}$, which indicates the sensitivity of these processes to the related dimension-six operators in SMEFT. Simulation of the full processes at both hadron and lepton colliders with a variety of collision energies are performed to estimate the allowed region on $c_6$ and $c_{{\Phi }_1}$. Especially we find that, with the help of exclusively choosing longitudinal polarizations in the final states and suitable $p_T$ cuts, $WWh$ process is as important as the more widely studied triple Higgs production ($hhh$) in the measurement of Higgs self-couplings. Our analysis indicates that these processes can play important roles in the measurement of Higgs self-couplings at future 100 TeV pp colliders and muon colliders. However, their cross sections are generally tiny at low energy machines, which makes them much more challenging to explore.

arXiv comment32 pages, 12 figures, 15 tables

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Cited by in corpus (5)

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• SmeftFR v3 -- Feynman rules generator for the Standard Model Effective Field Theory
• Measurement of Higgs boson self-couplings through $2\to 3$ vector bosons scattering in future muon colliders
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• The effects of Higgs boson couplings through HZZ production at future lepton colliders