Measurement of the Moments of the Hadronic Invariant Mass Distribution in Semileptonic B Decays

Details Measurement of the Moments of the Hadronic Invariant Mass Distribution in Semileptonic B Decays Measurement of the Moments of the Hadronic Invariant Mass Distribution in Semileptonic B Decays

2005-02-02

arxiv.org/abs/hep-ex/0502003v3

Phys.Rev.D71:051103,2005

Physics

High Energy Physics

High Energy Physics - Experiment

9 pages, 3 figures, 1 table. Accepted by PRDRC for publication. Few clarifications added. Fixed a typo in the text

Scientific paper

10.1103/PhysRevD.71.051103

Using 180 pb^-1 of data collected with the CDF II detector at the Tevatron, we measure the first two moments of the hadronic invariant mass-squared distribution in charmed semileptonic B decays. From these we determine the non-perturbative Heavy Quark Effective Theory parameters Lambda and lambda_1, used to relate the B meson semileptonic branching ratio to the CKM matrix element |V_cb|. For a minimum lepton momentum of 0.7 GeV/c in the B rest frame me measure the first two moments of the D** --> D(*) pi component to be = (5.83 +/- 0.16(stat) +/- 0.08(syst)) GeV^2, <(m^2_D** - )^2> = (1.30 +/- 0.69(stat) +/- 0.22(syst)) GeV^4. Combining these with the discrete mass terms from the D and D* mesons, we find the total moments to be - mbar_D^2 = (0.467 +/- 0.038_(stat) +/- 0.068(syst)) GeV^2, <(M^2_Xc - )^2> = (1.05 +/- 0.26(stat) +/- 0.13(syst)) GeV^4, where mbar_D is the spin-averaged D mass. The systematic error is dominated by the uncertainties in the world-average branching ratios used to combine the D, D* and D** contributions. The analysis makes no assumptions about the shape or resonant structure of the D** --> D(*) pi invariant mass distribution.

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