## Abstract

A lattice QCD calculation of the B̄→Dlv̄ decay form factors is presented. We obtain the value of the form factor h_{+}(w) at the zero-recoil limit w=1 with high precision by considering a ratio of correlation functions in which the bulk of the uncertainties cancels. The other form factor h_(w) is calculated, for small recoil momenta, from a similar ratio. In both cases, the heavy quark mass dependence is observed through direct calculations with several combinations of initial and final heavy quark masses. Our results are h_{+}(1) = 1.007(6)(2)(3) and h_(1)=-0.107(28)(04)(_{30}^{10}). For both the first error is statistical; the second stems from the uncertainty in adjusting the heavy quark masses and the last from omitted radiative corrections. Combining these results, we obtain a precise determination of the physical combination ℱ_{B→D}(1) = 1.058(_{17}^{20}), where the mentioned systematic errors are added in quadrature. The dependence on lattice spacing and the effect of quenching are not yet included, but with our method they should be a fraction of ℱ_{B→D}-1.

Original language | English (US) |
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Article number | 014502 |

Pages (from-to) | 1-13 |

Number of pages | 13 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 61 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2000 |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)