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

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arxiv 2110.12695 v1 pith:KH6CVJPZ submitted 2021-10-25 hep-ph

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

classification hep-ph
keywords kineticmassbottomon-shelloverlinerelationcharmmathrm
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In these proceedings we discuss the relation between the kinetic and the on-shell schemes for the bottom and the charm quarks and present the methods for 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 the inclusive determination of $|V_{cb}|$ from $B\to X_c \ell \nu_\ell$ decays. By combining the relation between the kinetic and the on-shell mass with well-know results for the $\overline{\mathrm{MS}}$-on-shell conversion, we obtain a prediction for $m_b^\mathrm{kin}$ based on precise determinations of $\overline{m}_b(\overline{m}_b)$.

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