Hadron Spectra for Semileptonic Heavy Quark Decay

Details Hadron Spectra for Semileptonic Heavy Quark Decay Hadron Spectra for Semileptonic Heavy Quark Decay

1995-07-11

arxiv.org/abs/hep-ph/9507284v2

Phys.Rev. D53 (1996) 2491-2505

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, uses REVTeX, 5 EPS figures embedded with epsf.sty, slightly modified version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.53.2491

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 $\bar\Lambda>410\,{\rm MeV}$ 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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