Abstract
Vector boson scattering is a well known probe of electroweak symmetry breaking. Here we study a related process of two electroweak vector bosons scattering into a vector boson and a Higgs boson ($VV \rightarrow Vh, V=W,Z$). This process exhibits tree level interference and grows with energy if the Higgs couplings to electroweak bosons deviate from their Standard Model values. Therefore, this process is particularly sensitive to the relative sign of the ratio of the coupling between the Higgs and the $W$ and $Z$, $\lambda_{WZ}$. In this work we show that a high energy lepton collider is well suited to study this process through vector boson fusion, estimate the potential sensitivity to this ratio, and show that a relatively modest amount of data can exclude $\lambda_{WZ} \simeq -1$.
Highlights
In the Standard Model (SM), the Higgs boson is a necessary ingredient to keep longitudinal gauge boson scattering unitary at high energy [1,2,3,4,5,6]
Even in the presence of the Higgs, if its couplings deviate from those predicted by the SM, longitudinal gauge boson scattering will still grow with energy and new physics is needed to make the theory unitary [7,8,9]
The nature of electroweak symmetry breaking and whether the Higgs has the precise properties given in the Standard Model is still not fully explored by data
Summary
In the Standard Model (SM), the Higgs boson is a necessary ingredient to keep longitudinal gauge boson scattering unitary at high energy [1,2,3,4,5,6]. If there is new physics that modifies the ratio of the coupling of the Higgs to the electroweak gauge bosons, λWZ ≠ 1, this amplitude and the cross section will grow quadratically with center of mass energy. This growth will eventually be cut off by new resonances or other effects of new physics. A interesting case is that of λWZ ≃ −1 This is impossible to distinguish from the Standard Model prediction without an interference measurement, and the process studied here is extremely sensitive to this scenario. We conduct a detailed phenomenological study of this channel including backgrounds and realistic experimental cuts
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