Measurements of the B to D* Form Factors Using the Decay B0 --> D* e nu_e

preprint2006arXivOpen access

Abstract

We measure the dependence of Bˉ0→D∗+e−νˉe\bar B^0 \to D^{*+}e^-\barν_e on the decay angles and momentum transfer. The data sample consists of ∼86×106\sim 86 \times 10^6 BBˉB\bar B-pairs accumulated on the Υ(4S)Υ(4{\rm S}) resonance by the BABAR detector at the asymmetric e+e−e^+ e^- collider PEP-II. We specify the three form factors by two ratios R1R_1 and R2R_2, and by a single parameter ρ2ρ^2 characterizing the polynomial representing hA1h_{A_1}, the function which describes the momentum-transfer dependence of the form factor A1A_1. We determine R1R_1, R2R_2, and ρ2ρ^2 using an unbinned maximum likelihood fit to the full decay distribution. The results are R1=1.396±0.060±0.035±0.027R_1=1.396\pm 0.060\pm 0.035\pm 0.027, R2=0.885±0.040±0.022±0.013R_2=0.885\pm 0.040\pm 0.022\pm 0.013, and ρ2=1.145±0.059±0.030±0.035ρ^2=1.145\pm 0.059\pm 0.030\pm 0.035. The stated uncertainties are the statistical from the data, statistical from the size of the Monte Carlo sample and the systematic uncertainty, respectively. In addition, based on this measurement, we give an updated value for the CKM matrix element ∣Vcb∣|V_{cb}|.

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