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A first glance to the kinematic moments of $B \to X_c \ell \nu$ at third order
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abstract
We study the impact of third-order QCD corrections for several kinematic moments of the inclusive semileptonic $B$ decays, to first order in the $1/m_b$ expansion. We consider the first four moments of the charged-lepton energy $E_\ell$ spectrum, the total leptonic invariant mass $q^2$ and the hadronic invariant mass $M_X^2$. No experimental cuts are applied. Our analytic results are obtained via an asymptotic expansion around the limit $m_b \simeq m_c$. After converting the scheme for the bottom mass to the kinetic scheme we compare the size of higher QCD corrections to the contributions from $1/m_b^2$ and $1/m_b^3$ power corrections and to the relative uncertainties.
Forward citations
Cited by 2 Pith papers
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Kinematic Moments of $\bar{B}\to X_c \ell \bar{\nu}_\ell$ to Order $\mathcal{O}(\Lambda_{\rm QCD}^5/m_b^5)$
Analytic HQE moments for inclusive B to X_c l nu are extended to O(Lambda^5/m_b^5), including q^2 moments with a lepton-energy cut, and a CLEO data tension is identified.
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Complete $\mathcal{O}(\alpha_s^2)$ Corrections to the Leptonic Invariant Mass Spectrum in $b\to X_c l\bar{\nu}_l$ Decay
The authors complete the O(alpha_s^2) perturbative correction to the q^2 spectrum of b -> X_c l nu_l, adding the triple-charm channel, and confirm the existing single-charm result.
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