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We report on studies of the $e^+e^- \to HZ$ process with the subsequent decayof the Higgs boson $H \to Z Z^\star$, where the $Z Z^\star$ combination isreconstructed in the final states with two jets and two leptons. The analysisis performed using Monte Carlo data samples obtained with detailed ILD detectorsimulation assuming the integrated luminosity 2 ab$^{-1}$, the beampolarizations ${\cal{P}}_{e^-e^+} = (-0.8, +0.3)$, and the center-of-massenergy $\sqrt{s}$ = 250 GeV. The analysis is also repeated for the case of two0.9 ab$^{-1}$ data samples with polarizations ${\cal{P}}_{e^-e^+} = (\mp0.8,\pm0.3)$. The process is measured in four decay channels, which correspond totwo combinations for the Higgs final states and two decay modes of the directlyproduced $Z$ boson, $Z \to q \bar{q}$ and $Z \to \nu \bar{\nu}$. To obtain theHiggs boson mass distributions, we used the variables $M(jj\ell\ell)$ and$M_{\Delta} = M(jj\ell\ell) - M(jj) + M(Z_{\rm nom})$, where $M(Z_{\rm nom})$ =91.2 GeV. Contributions of the potential background processes are taken intoaccount based on the available MC event samples. We propose a model-independentmethod for obtaining the width of the Higgs boson using the measurement of the$e^+e^- \to HZ$ process.

Measurement of $\sigma(e^+e^- \to HZ) \times {\cal B}r(H \to ZZ^*)$ at the 250 GeV ILC