In the present talk we report results from a study of the performance for the detection in ALICE of (a) B \to e + X decays with the central barrel and (b) B \to \mu + X decays with the muon spectrometer. We include an evaluation of the expected statistical and systematic uncertainties on the measurement of the cross section of beauty hadrons. We also discuss the possibility of detecting the modifications of beauty hadrons' transverse momentum (pt) distribution induced by in-medium gluon radiation calculated by a phenomenological model.
PACS numbers: 25.75.--q, 13.25.Hw, 14.40.Nd, 14.65.Fy
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