B meson leptonic decay constant with quenched lattice NRQCD

We present a lattice NRQCD study of the B meson decay constant in the quenched approximation with emphasis given to the scaling behavior. The NRQCD action and the heavy-light axial current we use include all terms of order 1/M and the perturbative

O(\alpha_s a)

and

O(\alpha_s/M)

corrections. Using simulations at three value of couplings

\beta

=5.7, 5.9 and 6.1 on lattices of size

12^3\times 32, 16^3\times 48

and

24^3\times 64

, we find no significant

a

dependence in

f_B

if the

O(\alpha_s a)

correction is included in the axial current. We obtain

f_B = 167(7)(15)

MeV,

f_{B_s}= 191(4)(17)(^{+4}_{-0})

MeV and

f_{B_s}/f_B =1.15(3)(1)(^{+3}_{-0})

, with the first error being statistical, the second systematic, and the third due to uncertainty of strange quark mass, while quenching errors being not included.

Note:

31 pages, 24 eps figures Report-no: HUPD-9904

lattice field theory: action
quantum chromodynamics: nonrelativistic
approximation: quenching
B: leptonic decay
B: decay constant
B/s: decay constant
scaling
current: axial-vector
decay constant: ratio
B: hyperfine structure

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