Measurement of Higgs boson self-couplings through $2\to 3$ vector bosons scattering in future muon colliders

Abstract

The $2\to 3$ scattering of longitudinal vector bosons (VBS) has been proven to be a complementary channel to measure the Higgs self-couplings in the Standard Model (SM) and the SM effective field theory (SMEFT) at colliders. We perform the first comprehensive study of all main $2\to 3$ VBS processes at high-energy muon colliders, especially including background analysis. The main contributing channels turn out to be the scattering of $W^{+}{W}^{-}\to W^{+}{W}^{-}h$, $ZZh$ and $hhh$. We obtain the constraints on $c_6$ and $c_{{\Phi }_1}$ which are the Wilson coefficients of the dimension-6 operators relevant for Higgs self-couplings in the SMEFT. With the center-of-mass energies of 10 TeV and 30 TeV, we find the expected sensitivity to the coefficients $c_6/{\Lambda }^2$ and $c_{{\Phi }_1}/{\Lambda }^2$ can reach the level of 0.01 TeV${}^{-2}$. The tightest constraints come from the $hhh$ channel, while the constraints from $WWh$ are also comparable. Our results crucially depend on selecting the longitudinal polarizations for the final $W$ and $Z$ bosons. We then study how the sensitivities change by varying the efficiency of tagging longitudinal polarizations, and find that the significance remains consistently high.

arXiv comment25 pages, 8 figures, 5 tables. Version accepted for publication in PRD

References in corpus (43)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Dimension-Six Terms in the Standard Model Lagrangian
• Progress in Electroweak Baryogenesis
• The Strongly-Interacting Light Higgs
• Electroweak baryogenesis
• Automatic spin-entangled decays of heavy resonances in Monte Carlo simulations
• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Probing the Higgs self-coupling at hadron colliders using rare decays
• Automated one-loop computations in the SMEFT
• Higgs boson pair production in the D=6 extension of the SM
• High Energy Leptonic Collisions and Electroweak Parton Distribution Functions
• Vector boson fusion at multi-TeV muon colliders
• Muon Colliders: Opening New Horizons for Particle Physics
• Higgs boson potential at colliders: status and perspectives
• Fusing Vectors into Scalars at High Energy Lepton Colliders
• Electroweak Couplings of the Higgs Boson at a Multi-TeV Muon Collider
• WIMPs at High Energy Muon Colliders
• Measurement of $W^{\pm }Z$ production cross sections and gauge boson polarisation in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Examining the Higgs boson potential at lepton and hadron colliders: a comparative analysis
• Electroweak Splitting Functions and High Energy Showering
• Probing the Electroweak Phase Transition at the LHC
• Further on up the road: $hhjj$ production at the LHC
• Higgs pair production in vector-boson fusion at the LHC and beyond
• Testing the electroweak phase transition and electroweak baryogenesis at the LHC and a circular electron-positron collider
• Detector and Physics Performance at a Muon Collider
• Standard Model Parton Distributions at Very High Energies
• NNLO QCD corrections to Higgs pair production via vector boson fusion at hadron colliders
• Automated Predictions from Polarized Matrix Elements
• Muon Colliders
• Probing Baryogenesis through the Higgs Self-Coupling
• Determining the Shape of Higgs Potential at Future Colliders
• Higgs Couplings without the Higgs
• $W$ boson polarization in vector boson scattering at the LHC
• Measuring Trilinear Higgs Coupling in $WHH$ and $ZHH$ Productions at the HL-LHC
• Different polarization definitions in same-sign $WW$ scattering at the LHC
• Combination of the W boson polarization measurements in top quark decays using ATLAS and CMS data at $\sqrt{s}=$ 8 TeV
• Comparing Traditional and Deep-Learning Techniques of Kinematic Reconstruction for polarisation Discrimination in Vector Boson Scattering
• Polarization Effects in Standard Model Parton Distributions at Very High Energies
• Higgs boson coupling as a probe of the sphaleron property
• Tree-level Interference in VBF production of Vh
• Measuring the polarization of boosted, hadronic $W$ bosons with jet substructure observables
• Measuring Higgs Boson Self-couplings with $2\to 3$ VBS Processes
• A $W^{\pm }$ polarization analyzer from Deep Neural Networks

Cited by in corpus (7)

• Learning from Radiation at a Very High Energy Lepton Collider
• Electroweak ALP Searches at a Muon Collider
• Complementary Signals of Lepton Flavor Violation at a High-Energy Muon Collider
• Unraveling the Scotogenic Model at Muon Collider
• Portraying Double Higgs at the Large Hadron Collider II
• Study on the sensitivity of the Higgs boson couplings in photon-photon collision at CLIC and muon collider
• The effects of Higgs boson couplings through HZZ production at future lepton colliders