R. Gupta et al., MATRIX-ELEMENTS OF 4-FERMION OPERATORS WITH QUENCHED WILSON FERMIONS, Physical review. D. Particles and fields, 55(7), 1997, pp. 4036-4054
We present results for the matrix elements of a variety of four-fermio
n operators calculated using quenched Wilson fermions. Our simulations
are done on 170 lattices of size 32(3)x64 at beta=6.0. We iind B-K=0.
74+/-0.04+/-0.05, B-D=0.78+/-0.01, B-7(3/2)=0.58+/-0.02(-0.03)(+0.07),
B-8(3/2)=0.81+/-0.03(-0.02)(+0.03), with all results being in the NDR
scheme at mu=2 GeV. We also calculate the B parameter for the operato
r Q(s), which is needed in the study of the difference of B-meson life
times. Our best estimate is B-S(NDR,mu=1/a=2.33 GeV)=0.80+/-0.01. This
is given at the lattice scale since the required two-loop anomalous d
imension matrix is not known. In all these estimates, the first error
is statistical, while the second is due to the use of truncated pertur
bation theory to match continuum and lattice operators. Errors due to
quenching and lattice discretization are not included. We also present
new results for the perturbative matching coefficients, extending the
calculation to all Lorentz scalar four-fermion operators, and using N
DR as the continuum scheme.