We compute the decay constant of the B-meson, f(B), on a 10(2) x 20 x 40 lattice at beta = 6.0, with Wilson fermions, using 30 gauge field configurations, generated in the quenched approximation. For the propagator of the b-quark we keep only the leading term in the 1/m(b) expansion. To improve our results we use, as the interpolating fields for the B-meson, lattice operators which are "smeared" over several lattice sites. We observe a clear signal for the lightest B-meson state, and obtain the value f(B) = 310 +/- 25 +/- 50 MeV, where the first error is statistical and the second represents our uncertainity in the value of the lattice spacing. This result, combined with earlier lattice measurements of f(D) (f(D) congruent-to 180 MeV), denomstrates that the asymptotic scaling law for the decay constants of heavy pseudoscalar mesons P, (i.e. f(P) square-root-M-(P) approximately constant), has large corrections for charmed mesons. We estimate that the non-scaling corrections will reduce the above value of f(B) by about 25%.

Allton, C.r., Lubicz, V., Maiani, L., Martinelli, G., Sachrajda, C.t. (1991). A lattice computation of the decay constant of the B-meson. NUCLEAR PHYSICS. B, 349(2), 598-616 [10.1016/0550-3213(91)90337-W].

A lattice computation of the decay constant of the B-meson

LUBICZ, Vittorio;
1991-01-01

Abstract

We compute the decay constant of the B-meson, f(B), on a 10(2) x 20 x 40 lattice at beta = 6.0, with Wilson fermions, using 30 gauge field configurations, generated in the quenched approximation. For the propagator of the b-quark we keep only the leading term in the 1/m(b) expansion. To improve our results we use, as the interpolating fields for the B-meson, lattice operators which are "smeared" over several lattice sites. We observe a clear signal for the lightest B-meson state, and obtain the value f(B) = 310 +/- 25 +/- 50 MeV, where the first error is statistical and the second represents our uncertainity in the value of the lattice spacing. This result, combined with earlier lattice measurements of f(D) (f(D) congruent-to 180 MeV), denomstrates that the asymptotic scaling law for the decay constants of heavy pseudoscalar mesons P, (i.e. f(P) square-root-M-(P) approximately constant), has large corrections for charmed mesons. We estimate that the non-scaling corrections will reduce the above value of f(B) by about 25%.
Allton, C.r., Lubicz, V., Maiani, L., Martinelli, G., Sachrajda, C.t. (1991). A lattice computation of the decay constant of the B-meson. NUCLEAR PHYSICS. B, 349(2), 598-616 [10.1016/0550-3213(91)90337-W].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/156332
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