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arXiv · hep-ph/9507284

Hadron Spectra for Semileptonic Heavy Quark Decay

Adam F. Falk·Michael Luke·Martin J. Savage
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Abstract

We calculate the leading perturbative and power corrections to the hadronic invariant mass and energy spectra in semileptonic heavy hadron decays. We apply our results to the $B$ system. Moments of the invariant mass spectrum, which vanish in the parton model, probe gluon bremsstrahlung and nonperturbative effects. Combining our results with recent data on $B$ meson branching ratios, we obtain a lower bound $\barΛ>410\,{\rm MeV}$ and an upper bound $m_b^{\rm pole}<4.89\,$GeV. The Brodsky-Lepage-Mackenzie scale setting procedure suggests that higher order perturbative corrections are small for bottom decay, and even tractable for charm decay.

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Adam F. Falk, Michael Luke, Martin J. Savage. 1995-11-15. Hadron Spectra for Semileptonic Heavy Quark Decay. https://doi.org/10.1103/physrevd.53.2491

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