Study of Longitudinal-Longitudinal WZ interactions using inclusive WZ$\to \ell \nu \ell \ell $ events

In the Standard Model of particle physics, the Higgs field spontaneously breaks the underlying electroweak symmetries resulting in a massive Higgs boson and three massless Goldstone bosons. These Goldstone bosons are absorbed into the W and Z bosons and become their longitudinal components and thus make them massive. It is critical to study longitudinal-longitudinal (LL) vector boson interactions. Normally people use vector boson scattering (VBS) events to study LL vector boson interactions. We propose to use the inclusive WZ$\to \ell \nu \ell \ell $ ($\ell =$e, $\mu )$ sample to study LL WZ interactions (W$_{\mathrm{L}}$Z$_{\mathrm{L}})$. We apply selection criteria on the Z boson transverse momentum and the angle of the W boson in the WZ rest frame with respect to the lab z-axis to improve the separation between the signal process (W$_{\mathrm{L}}$Z$_{\mathrm{L}})$ and background processes (W$_{\mathrm{L}}$Z$_{\mathrm{T}}$, W$_{\mathrm{T}}$Z$_{\mathrm{L}}$, W$_{\mathrm{T}}$Z$_{\mathrm{T}})$. Our truth-level study indicates that S:B can be increased from \textasciitilde 1:150 to \textasciitilde 1:1. We will also present sensitivity studies with detector effects included assuming 150 fb$^{\mathrm{-1}}$ of data at 13 TeV collected by the ATLAS or CMS detector.