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^- rightarrow HH nu {bar{nu }} and the access to kappa _3 and kappa _4 in e^+e^- rightarrow 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.
Highlights
One of the not yet fully explored pieces of the StandardModel (SM) of Particle Physics is the Higgs boson potential, involving the triple and quartic Higgs self-couplings, which are both given in terms of the λ parameter of the potential by λSHMH H = λSHMH H H = λ, and whose strength is related to theHiggs boson mass by m 2 H =In the present paper we study the sensitivity to these particular four beyond the Standard Model (BSM) Higgs interactions, W W H, W W H H, H H H and H H H H, and focus on future e+e− colliders
This work is organized as follows: in Sect. 2 we review the relevant interactions within the electroweak chiral Lagrangian (EChL) for the present work (W W H, W W H H, H H H and H H H H ) and write them in terms of the four relevant EChL coefficients a, b, κ3 and κ4
In this work we have explored the sensitivity at future e+e− colliders to BSM Higgs physics induced by the W W H, W W H H, H H H and H H H H interaction vertices within the context of the non-linear effective field theory given by the EChL
Summary
The combined effects of anomalous triple and quartic Higgs self-couplings via radiative corrections in multiple Higgs boson production at e+e− colliders have been studied in [43] within the context of the linear EFT approach. A more precise determination of the triple Higgs self-coupling via double Higgs production is one of the aims of several future projects, such as the high luminosity LHC (HL-LHC) and its high energy upgrade (HELHC) [5], the International Linear Collider (ILC) [6] and the compact linear collider (CLIC) [7]. Much research on this topic has already been carried out.
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