Abstract
It is shown that measuring the lepton invariant mass spectrum in inclusive semileptonic B ̄ →X uℓ ν ̄ decay yields a model independent determination of | V ub |. Unlike the lepton energy and hadronic invariant mass spectra, nonperturbative effects are only important in the resonance region, and play a parametrically suppressed role when d Γ/d q 2 is integrated over q 2>( m B − m D ) 2, which is required to eliminate the charm background. Perturbative and nonperturbative corrections are presented to order α s 2 β 0 and Λ QCD 2/ m b 2, and the Λ QCD 3/ m b 3 corrections are used to estimate the uncertainty in our results. The utility of the B ̄ →X sℓ +ℓ − decay rate above the ψ(2 S) resonance is discussed.
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