Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-06-15
Phys.Rev.D61:014502,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pp, 10 figs; final, published version
Scientific paper
10.1103/PhysRevD.61.014502
A lattice QCD calculation of the $\bar{B}\to Dl\bar{\nu}$ 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 $h_-(1)=-0.107(28)(04)(^{10}_{30})$. 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 $F_{B\to D}(1)=1.058(^{20}_{17})$, 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 $F_{B\to D}-1$.
El-Khadra Aida X.
Hashimoto Shoji
Kronfeld Andreas S.
Mackenzie Paul B.
Ryan Sinead M.
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