Status and prospect for determining $f_B$, $f_{B_s}$, $f_{B_s}/f_B$ on the lattice

Abstract

Preliminary results from the MILC collaboration for $f_B$, $f_{B_s}$, $f_D$, $f_{D_s}$ and their ratios are presented. We compute in the quenched approximation at ${\hat{I}}^2=6.3$, 6.0 and 5.7 with Wilson light quarks and static and Wilson heavy quarks. We attempt to quantify all systematic errors other than quenching, and have a first indication of the size of quenching errors.

9 pages. Self-unwrapping compressed postscript file. Talk presented by Urs M. Heller at LISHEP95, February 20-22, Rio de Janeiro, Brazil