DOE OSTI2011
This thesis presents first measurements of moments of the hadronic n X 2 distribution measured in inclusive semileptonic decays of B mesons to final states containing a charm quark, B → X c ℓν. The variable n X 2 is a combination of the invariant mass of the charmed meson m X , its energy in the B-meson rest-frame E X;BRF , and a constant ~Λ = 0.65 GeV, n X 2 = m X 2 c 4 -2~ΛE X,BRF + ~Λ 2 . The moments <n X k > with k = 2,4,6 are measured as proposed by theory to constrain assumptions made in the theoretical description of inclusive observables in semileptonic B-meson decays. This description uses Heavy Quark Expansion (HQE), an effective QCD combined with an Operator Product Expansion. The measurement is based on a sample of 231.6 million e + e - → Υ(4S) {yields} B$\bar{B}$ events recorded with the BABAR experiment at the PEP-II e + e - -storage rings at SLAC. We reconstruct the semileptonic decay by identifying a charged lepton in events tagged by a fully reconstructed hadronic decay of the second B meson. Correction procedures are derived from Monte Carlo simulations to ensure an unbiased measurement of the moments of the n X 2 distribution. All moments are measured requiring minimum lepton momenta between 0.8 GeV/c and 1.9 GeV/c in the rest frame of the B meson. Performing a simultaneous fit to the measured moments <n X k > up to order k = 6 combined with other measurements of moments of the lepton-energy spectrum in decays B → X c ℓν and moments of the photon-energy spectrum in decays B → X s γ, we determine the quark-mixing parameter |V cb |, the bottom and charm quark masses, the semileptonic branching fraction β(B → X c ℓν), and four non-perturbative heavy quark parameters. Using HQE calculations in the kinetic scheme up to order 1/m b 3 we find |V cb | = (41.65 ± 0.43 ± 0.40 ± 0.58) • 10 -3 and m b = (4.570 ± 0.033 ± 0.043) GeV/c 2 , where the first uncertainty refers to experimental contributions, the second to uncertainties in the HQE, and the third to theoretical uncertainties in the calculations of the semileptonic decay rate Λ(B {yields} X c ℓν). All obtained results are consistent with previous determinations. The inclusion of the moments <n X 6 > decreases the uncertainty on the HQE parameters μ π 2 and ρ D 3 . Furthermore, the theoretical treatment of higher order corrections in the HQE used for the moments <m X k > has been verified with these new measurements.
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