Radiatively Corrected Semileptonic Spectra in B Meson Decays

We show how radiative QCD corrections calculated in terms of quarks can be incorporated at the hadron level in inclusive semileptonic B-meson decays. The bound state effects are described by a momentum distribution function of the $b$ quark. The summation over the final states and the averaging over the momentum distribution of the decaying quark render the radiative corrections finite. With this coherent formalism we investigate the shape of the electron spectra for $b\to u$ and $b\to c$ decays as a function of the parameters of the theory. The resultant $b\to c$ electron energy spectrum is in agreement with the experimental data.