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We present measurements of the first six hadronic mass moments insemileptonic $B \rightarrow X_c \ell \nu $ decays. The hadronic mass moments,together with other observables of inclusive $B$ decays, can be used todetermine the CKM matrix element $|{V_{cb}}|$ and mass of the $b$-quark $m_b$in the context of Heavy Quark Expansions of QCD. The Belle~II data recorded atthe $\Upsilon (4S)$ resonance in 2019 and 2020 (March-July), corresponding toan integrated luminosity of $34.6\;\mathrm{fb}^{-1}$, is used for thismeasurement. The decay $\Upsilon (4S) \rightarrow B \overline{B}$ isreconstructed by applying the hadronic tagging algorithm provided by the FullEvent Interpretation to fully reconstruct one $B$ meson. The second $B$ mesonis reconstructed inclusively by selecting a high-momentum lepton. The $X_c$system is identified by the remaining reconstructed tracks and clusters in theelectromagnetic calorimeter. We report preliminary results for the hadronicmass moments $\langle M_X^n \rangle $ with $n=1,\dots,6$, measured as afunction of a lower cut on the lepton momentum in the signal $B$ rest frame.

Measurement of Hadronic Mass Moments $\langle M_X^n \rangle $ in $B \rightarrow X_c \ell \nu $ Decays at Belle II