Model independent calculation of ${\cal{B}}({\bar{B}}^0\rightarrow D^{(*)+} \tau^- {\bar{\nu}})/ {\cal{B}}({\bar{B}}^0\rightarrow D^{(*)+} e^- {\bar{\nu}})$

D.S. Hwang; D.-W. Kim

doi:doi:10.1007/s100520000350

EPJ

Model independent calculation
of ${\cal{B}}({\bar{B}}^0\rightarrow D^{(*)+} \tau^- {\bar{\nu}})/ {\cal{B}}({\bar{B}}^0\rightarrow D^{(*)+} e^- {\bar{\nu}})$

D.S. Hwang¹ - D.-W. Kim²

¹ Department of Physics, Sejong University, Seoul 143-747, Korea
² Department of Physics, Kangnung National University, Kangnung 210-702, Korea

Received: 20 September 1999 / Revised version: 30 November 1999 /
Published online: 6 April 2000 - © Springer-Verlag 2000

Abstract
Using the formulas for the ${\mathrm {d}}\Gamma / {\mathrm {d}}q^2$ distribution with non-zero lepton mass and experimentally determined form factors, we calculate the ${\mathrm {d}}\Gamma (D^{(*)+} l^- {\bar{\nu}})/ {\mathrm {d}}q^2$ spectra and branching fractions for l=e, $\mu$ and $\tau$ . We obtain the results ${\cal{B}}({\bar{B}}^0\rightarrow D^{+} \tau^- {\bar{\nu}})/ {\cal{B}}({\bar{B}}^0\rightarrow D^{+} e^- {\bar{\nu}})= 0.278^{+0.049}_{-0.035}$ and

${\cal{B}}({\bar{B}}^0\rightarrow D^{*+} \tau^- {\bar{\nu}})/ {\cal{B}}({\bar{B}}^0\rightarrow D^{*+} e^- {\bar{\nu}})= 0.256^{+0.014}_{-0.013}$ . Since we used the experimentally measured form factors, these results are independent of theoretical models of the form factors.

Student Conference in Optics and Photonics 2024
October 2-4, 2024
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EPJ

Model independent calculation
of ${\cal{B}}({\bar{B}}^0\rightarrow D^{()+} \tau^- {\bar{\nu}})/ {\cal{B}}({\bar{B}}^0\rightarrow D^{()+} e^- {\bar{\nu}})$

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