Testing anomalous $H-W$ couplings and Higgs self-couplings via double and triple Higgs production at $e^{+}{e}^{-}$ colliders

Abstract

In the present work we study the implications at the future $e^{+}{e}^{-}$ colliders of the modified interaction vertices $WWH$, $WWHH$, $HHH$ and $HHHH$ within the context of the non-linear effective field theory given by the Electroweak Chiral Lagrangian. These vertices are given by four parameters, $a$, $b$, ${\kappa }_3$ and ${\kappa }_4$, respectively, that are independent and without any constraint from symmetry considerations in this non-linear effective Lagrangian context, given the fact the Higgs field is a singlet. This is in contrast to the Standard Model, where the vertices are related by $V_{WWH}^{\mathrm{SM}}=v{V}_{WWHH}^{\mathrm{SM}}$ and $V_{HHH}^{\mathrm{SM}}=v{V}_{HHHH}^{\mathrm{SM}}$, with $v=246$ GeV. We investigate the implications of the absence of these relations in the Electroweak Chiral Lagrangian case. We explore the sensitivity to these Higgs anomalous couplings in the two main channels at these colliders: double and triple Higgs production (plus neutrinos). Concretely, we study the access to $a$ and $b$ in $e^{+}{e}^{-}\to HH\nu \bar{\nu }$ and the access to ${\kappa }_3$ and ${\kappa }_4$ in $e^{+}{e}^{-}\to HHH\nu \bar{\nu }$. Our study of the beyond the Standard Model couplings via triple Higgs boson production at $e^{+}{e}^{-}$ colliders is novel and shows for the first time the possible accessibility to the quartic Higgs self-coupling.

arXiv comment49 pages, 39 figure, 2 tables. Version published in EPJC

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• The flair of Higgsflare: Distinguishing electroweak EFTs with $W_L{W}_L\to n\times h$
• One-loop corrections for WW to HH in HEFT with the electroweak chiral Lagrangian
• Constraints on the trilinear and quartic Higgs couplings from triple Higgs production at the LHC and beyond
• Double Higgs production at TeV $e^{+}{e}^{-}$ colliders with Effective Field Theories: sensitivity to BSM Higgs couplings
• BSM patterns in scalar-sector coupling modifiers
• Measuring Higgs Boson Self-couplings with $2\to 3$ VBS Processes
• SMEFT as a slice of HEFT's parameter space
• Sensitivity to Triple Higgs Couplings via Di-Higgs Production in the 2HDM at e+e- Colliders
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• Tests of BSM Higgs interactions by the combination $({\kappa }_V^2-{\kappa }_{2V})$ in HHjj production at LHC
• Constraining the Higgs potential using multi-Higgs production