1999/06/30 by S. Hashimoto, Shoji Hashimoto, Aida X. El-Khadra +6 · 6 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.61.014502
published as Phys.Rev.D61:014502,1999 · 32 pp, 10 figs; final, published version
arxiv created 1999/10/27 · openalex publication_date 1999/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
A lattice QCD calculation of the B\ensuremath→Dl\ensuremathν 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_\ensuremath-(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_\ensuremath-(1)=\ensuremath-0.107(28)(04)(3010). 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_\stackrel\ensuremath→BD(1)=1.058(1720), 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_\stackrel\ensuremath→BD\ensuremath-1.