QCD corrections to inclusive heavy hadron weak decays at ${\Lambda }_{\mathrm{QCD}}^3/m_Q^3$

Abstract

We present an analytical calculation of the ${\alpha }_s$ corrections for the coefficient of ${\rho }_D/m_Q^3$ term in the heavy quark expansion for the inclusive semileptonic decays of heavy hadrons, such as $B\to X_c\ell \bar{\nu }$. The full dependence of the coefficient on the final-state quark mass is taken into account. Our result leads to further improvement of the theoretical predictions for the precision determination of CKM matrix element $|V_{cb}|$.

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• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• The Heavy Quark Expansion for Inclusive Semileptonic Charm Decays Revisited
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Quark-hadron duality at work: lifetimes of bottom baryons
• Impact of background effects on the inclusive $V_{cb}$ determination
• Recent progress in decays of $b$ and $c$ hadrons
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays