Projections for HH measurements in the bbZZ(4l) final state with the CMS experiment at the HL-LHC

\begin{abstract} Prospects for the study of Higgs boson pair (HH) production in the HH $\to$ bb4l (l = e, $\mu$) channel are studied in the context of the High Luminosity LHC. The analysis is performed using a parametric simulation of the Phase-2 CMS detector response provided by the Delphes software and assuming an average of 200 proton-proton collisions per bunch crossing at a center-of-mass energy of 14 TeV. Assuming a projected integrated luminosity of 3000 fb$^{-1}$, the expected significance for the nonresonant standard model (SM) HH signal is 0.37 $\sigma$; a 95$\%$ confidence level (CL) upper limit on its cross section is set to 6.6 times the SM prediction. The statistical combination of five decay channels (b$\bar{\textrm{b}}$b$\bar{\textrm{b}}$, b$\bar{\textrm{b}}\tau\tau$, b$\bar{\textrm{b}}\gamma\gamma$}, bbWW, bbZZ) results in an expected significance for the SM HH signal of 2.6 $\sigma$ and an expected 68$\%$ and 95$\%$ CL intervals for the Higgs self-coupling modifier $\kappa_{\lambda}$ = $\lambda_{\rm HHH} / \lambda^{\rm SM}_{\rm HHH}$ of [0.35, 1.9] and [-0.18, 3.6], respectively. \end{abstract}