B→πlνsemileptonic form factor from three-flavor lattice QCD: A model-independent determination of|Vub|

Abstract

We calculate the form factor ${f}_{+}({q}^{2})$ for $B$-meson semileptonic decay in unquenched lattice QCD with $2+1$ flavors of light sea quarks. We use Asqtad-improved staggered light quarks and a Fermilab bottom quark on gauge configurations generated by the MILC Collaboration. We simulate with several light-quark masses and at two lattice spacings, and extrapolate to the physical quark mass and continuum limit using heavy-light meson staggered chiral perturbation theory. We then fit the lattice result for ${f}_{+}({q}^{2})$ simultaneously with that measured by the BABAR experiment using a parameterization of the form-factor shape in ${q}^{2}$, which relies only on analyticity and unitarity in order to determine the Cabibbo-Kobayashi-Maskawa matrix element $|{V}_{\mathrm{ub}}|$. This approach reduces the total uncertainty in $|{V}_{\mathrm{ub}}|$ by combining the lattice and experimental information in an optimal, model-independent manner. We find a value of $|{V}_{\mathrm{ub}}|\ifmmode\times\else\texttimes\fi{}{10}^{3}=3.38\ifmmode\pm\else\textpm\fi{}0.36$.