Evolution equation for the shape function in the parton model approach to inclusive B decays

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We derive an evolution equation for the shape function of the b quark in an analogous way to the Altarelli-Parisi equation by incorporating the perturbative QCD correction to the inclusive semileptonic decays of the B meson. Since the parton picture works well for inclusive B decays due to the heavy mass of the b quark, the scaling feature manifests and the decay rate may be expressed by a single structure function describing the light-cone distribution of the b quark apart from the kinematic factor. The evolution equation introduces a q(2) dependence of the shape function and violates the scaling properties. We solve the evolution equation and discuss the phenomenological implication.
Publisher
KOREAN PHYSICAL SOC
Issue Date
2005
Language
English
Article Type
Article
Keywords

MESON DECAYS; SEMILEPTONIC-B; LEPTON SPECTRUM; HEAVY FLAVORS; ACCMM MODEL; QCD; QUARK; DISTRIBUTIONS; EXPANSION; HADRONS

Citation

JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.47, no.2, pp.189 - 196

ISSN
0374-4884
URI
http://hdl.handle.net/10203/87586
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