A lattice computation of the decay constant of the B meson

Allton, C.R.; Sachrajda, Christopher T.; Lubicz, V.; Maiani, L.; Martinelli, G.

doi:10.1016/0550-3213(91)90337-W

A lattice computation of the decay constant of the B meson

C.R. Allton
(
- Southampton U.
)
,
Christopher T. Sachrajda
(
- Southampton U.
)
,
V. Lubicz
(
- Rome U. and
- INFN, Rome
)
,
L. Maiani
(
- Rome U. and
- INFN, Rome
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)

Jun 19, 1990

19 pages

Published in:

Nucl.Phys.B 349 (1991) 598-616

Published: 1991

DOI:

10.1016/0550-3213(91)90337-W

Report number:

SHEP-89/90-11

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Abstract: (Elsevier)

We compute the decay constant of the B-meson, ƒ B , on a 10 2 × 20 × 40 lattice at β = 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 ƒ B = 310 ± 25 ± 50 MeV , where the first error is statistical and the second represents our uncertainty in the value of the lattice spacing. This result, combined with earlier lattice measurements of ƒ D (ƒ D ⋍ 180 MeV , demonstrates that the asymptotic scaling law for the decay constants of heavy pseudoscalar mesons P, (i.e. ƒ P √M P ∼ constant ), has large corrections for charmed mesons. We estimate that the non-scaling corrections will reduce the above value of ƒ B by about 25%.

fermion: lattice field theory
approximation: quenching
B: decay
decay: B
scaling: correction
correlation function
operator: renormalization
numerical calculations: Monte Carlo

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