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.

在当前的工作中，我们在Electroweak Chiral给出的非线性有效场理论的背景下研究了修改后的相互作用顶点WWH，WWHH，HHH和HHHH对未来\（e ^ + e ^-\）碰撞子的影响。拉格朗日。这些顶点分别由四个参数a，b，\（\ kappa _3 \）和\（\ kappa _4 \）给出，在给定的非线性有效拉格朗日上下文中，这些参数是独立的，不受对称性考虑的任何约束希格斯（Higgs）字段是单线态。这与标准模型相反，在标准模型中，顶点通过\（V_ {WWH} ^ \ mathrm {SM} = v V_ {WWHH} ^ \ mathrm {SM} \）和\（V_ {HHH} ^ \ mathrm {SM} = v V_ {HHHH} ^ \ mathrm {SM } \），具有\（v = 246 \） GeV。我们调查在Electroweak手性拉格朗日案中缺少这些关系的含义。在这些对撞机的两个主要通道中，我们探索了对这些希格斯异常耦合的敏感性：双重和三重希格斯产生（加上中微子）。具体地，我们研究了获得一个和b在\（E ^ + E ^ - \ RIGHTARROW HH \ NU {\酒吧{\ NU}} \）和接入到\（\卡帕_3 \）和\（\卡帕_4 \）在\（e ^ + e ^-\ rightarrow HHH \ nu {\ bar {\ nu}} \）中。我们对通过\（e ^ + e ^-\）对撞机产生的三重希格斯玻色子产生的超越标准模型的耦合的研究是新颖的，并首次显示了四次希格斯自耦合的可及性。