Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-09-29
Nucl.Phys.Proc.Suppl.63:362-364,1998
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages, LaTeX with espcrc2.sty and epsf.tex, 1 included postscript figure. Poster presented by C. Bernard at LATTICE '97, Edi
Scientific paper
10.1016/S0920-5632(97)00770-6
MILC collaboration results for \fB, \fBs, \fD, \fDs and their ratios are presented. These results are still preliminary, but the analysis is close to being completed. Sources of systematic error, both within the quenched approximation and from quenching itself, are estimated. We find, for example, $f_B=153\pm 10 {}^{+36}_{-13} {}^{+13}_{-0} MeV$, and $f_{B_s}/f_B = 1.10 \pm 0.02 {}^{+0.05}_{-0.03} {}^{+0.03}_{-0.02}$, where the errors are statistical, systematic (within the quenched approximation), and systematic (of quenching), respectively. The extrapolation to the continuum and the chiral extrapolation are the largest sources of error. Present central values are based on linear chiral extrapolations; a shift to quadratic extrapolations would raise $f_B$ by $\approx20$ MeV and make the error within the quenched approximation more symmetric.
Bernard Claude
DeGrand Thomas
DeTar Carleton
Gottlieb Steven
Heller Urs M.
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