Measurement of the form factors of the decay B0 -> D*- ell+ nu and determination of the CKM matrix element |Vcb|

Abstract

This article describes a determination of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cb}|$ from the decay $B^0\to D^{\ast -}{\ell }^{+}{\nu }_{\ell }$ using 711 fb${}^{-1}$ of Belle data collected near the ${\rm Y}(4S)$ resonance. We simultaneously measure the product of the form factor normalization $\mathcal{F}(1)$ and the matrix element $|V_{cb}|$ as well as the three parameters ${\rho }^2$, $R_1(1)$ and $R_2(1)$, which determine the form factors of this decay in the framework of the Heavy Quark Effective Theory. The results, based on about 120,000 reconstructed $B^0\to D^{\ast -}{\ell }^{+}{\nu }_{\ell }$ decays, are ${\rho }^2=1.214\pm 0.034\pm 0.009$, $R_1(1)=1.401\pm 0.034\pm 0.018$, $R_2(1)=0.864\pm 0.024\pm 0.008$ and $\mathcal{F}(1)|V_{cb}|=(34.6\pm 0.2\pm 1.0)\times 10^{-3}$. The branching fraction of $B^0\to D^{\ast -}{\ell }^{+}{\nu }_{\ell }$ is measured at the same time; we obtain a value of $\mathcal{B}(B^0\to D^{\ast -}{\ell }^{+}{\nu }_{\ell })=(4.58\pm 0.03\pm 0.26)$. The errors correspond to the statistical and systematic uncertainties. These results give the most precise determination of the form factor parameters and $\mathcal{F}(1)|V_{cb}|$ to date. In addition, a direct, model-independent determination of the form factor shapes has been carried out.

arXiv comment16 pages, 7 figures

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• Improved Measurement of |Vcb| using B --> D* l nu Decays
• Measurement of |V_cb| using the semileptonic decay anti-B0d -> D*+ l- anti-nu_l
• Measurement of the Decay B- --> D*0 e- nubar
• Measurement of Inclusive Production of Neutral Pions from Upsilon(4S) Decays

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