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QCD corrections to inclusive heavy hadron weak decays at $\Lambda_{\rm QCD}^3 /m_Q^3$
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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 $|V_{cb}|$.
Forward citations
Cited by 2 Pith papers
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$B$-meson decay width up to $1/m_b^3$ corrections within and beyond the Standard Model
Complete analytic HQE matching coefficients for B-meson decay widths up to 1/m_b^3 are derived for generic new-physics operators, including previously missing weak-annihilation terms.
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New Physics in inclusive semileptonic $B$ decays
A global fit to inclusive semileptonic B decay moments and rate constrains all seven dimension-six new-physics parameters, finding no significant BSM signal but new bounds, especially on the right-handed vector Wilson...
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