We present a (2+1)-flavor lattice QCD calculation of the form factor ratio
between the semileptonic decays Bˉs0→Ds+l−νˉ and
Bˉ0→D+l−νˉ. This ratio is an important theoretical input
to the hadronic determination of the B meson fragmentation fraction ratio
fs/fd which enters in the measurement of BR(Bs0→μ+μ−). Small lattice spacings and high statistics enable us to simulate
the decays with a dynamic final D meson of small momentum and reliably
extract the hadronic matrix elements at nonzero recoil. We report our
preliminary result for the form factor ratio at the corresponding momentum
transfer of the two decays f0(s)(Mπ2)/f0(d)(MK2).Comment: 7 pages, 6 figures. Talk presented at The XXIX International
Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 2011, Squaw
Valley, Lake Tahoe, California; Minor errors corrected, references and graphs
update