A Lattice computation of the decay constants of B and D mesons

Bernard, Claude W.; Labrenz, James N.; Soni, Amarjit

doi:10.1103/PhysRevD.49.2536

A Lattice computation of the decay constants of B and D mesons

Claude W. Bernard
(
- Washington U., St. Louis
)
,
James N. Labrenz
(
- Washington U., Seattle
)
,
Amarjit Soni
(
- Brookhaven
)

Jun, 1993

72 pages

Published in:

Phys.Rev.D 49 (1994) 2536-2566

e-Print:

hep-lat/9306009 [hep-lat]

DOI:

10.1103/PhysRevD.49.2536

Report number:

UW-PT-93-06,
WASH-U-HEP-93-30,
BNL-49068

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Abstract:

A lattice calculation of the pseudoscalar decay constant of heavy-light mesons is reported. Results are obtained (in the quenched approximation) from lattices at

\beta=6.3

through a procedure that interpolates between the static approximation of Eichten and the conventional ("heavy" Wilson fermion) method. The previously observed discrepancy between these two approaches has been resolved: we find the scaling quantity

f\sqrt{M}

to be significantly smaller than previous calculations had indicated ({\it e.g.} at

\beta=6.0

); in addition, we discuss a modification which is required in normalizing the conventional amplitude to correct for large-

am

lattice errors. This change guarantees that

f\sqrt{M}

will smoothly approach its value in the static limit. From the numerical interpolation of the static and intermediate-mass results, we find, in units of MeV,

f_B=187(10)\pm34\pm15

,

f_{B_s}=207(9)\pm34\pm22

,

f_D=208(9)\pm35\pm12

and

f_{D_s}=230(7)\pm30\pm18

, where the first error is statistical and the second two are estimates of systematics due to 1) fitting and large-

am

effects and 2) scaling. In addition, using lattices at

\beta=6.3

,

\beta=6.0

and

\beta=5.7

and extrapolating to the limit of zero lattice spacing, we have computed

f_K/f_\pi = 1.08\pm.03\pm.08

in the quenched approximation.

B: decay constant
decay constant: B
D: decay constant
decay constant: D
fermion: lattice field theory
approximation: quenching
HQET model
mass: correction
correction: mass
perturbation theory

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