Masses and decay constants of the B-system in Lattice QCD
Abstract
Heavy-light bound states are studied in Lattice QCD with emphasis on parameters of the B-system relevant to experiment. Results are obtained on lattices with lattice spacings from about 0.15 fm to 0.06 fm corresponding to β=5.74, 6.0 and 6.26, and covering sizes from about 0.7 fm to 2 fm. From our results at the infinite quark mass limit and from propagating heavy quarks with mass of about 1-2.5 GeV we extrapolate to the b-quark mass to obtain the decay constant of the B-meson as well as the mass of b in the continuum. The necessary extrapolations introduce rather large errors and lead to the value fB=180(50) MeV. We compare with the results from other lattice groups as well as with predictions coming from sum rules. The phenomenological consequences of this value of fB, together with new experimental constraints, are briefly discussed.
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