Evolution equation for the heavy quark distribution function in the parton model approach

Details Evolution equation for the heavy quark distribution function in the parton model approach Evolution equation for the heavy quark distribution function in the parton model approach

1998-09-10

arxiv.org/abs/hep-ph/9809316v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, ReVTex with 6 eps figure files embedded with epsfig.sty

Scientific paper

We explore the perturbative QCD corrections to the inclusive semileptonic decays of $B$ mesons. In inclusive $B$ decay processes the parton picture works well and the scaling feature manifests because the mass of $b$ quark is larger than the QCD scale. Due to this property, the decay rate may be expressed by a single structure function describing the light-cone distribution of $b$ quark apart from the kinematic factor. We derive a $q^2$ evolution equation for the distribution function, which violates the scaling property through the Altarelli-Parisi type approach. The evolution equation is numerically solved and its phenomenological implications are also discussed.

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