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In these proceedings we discuss the relation between the kinetic and theon-shell schemes for the bottom and the charm quarks and present the methodsfor the calculation of the mass relation to higher orders in perturbative QCD.The bottom mass in the kinetic scheme is a pivotal input parameter in theinclusive determination of $|V_{cb}|$ from $B\to X_c \ell \nu_\ell$ decays. Bycombining the relation between the kinetic and the on-shell mass with well-knowresults for the $\overline{\mathrm{MS}}$-on-shell conversion, we obtain aprediction for $m_b^\mathrm{kin}$ based on precise determinations of$\overline{m}_b(\overline{m}_b)$.

Higher-order corrections to the kinetic mass definition for the bottom and the charm quarks