MATRIX-ELEMENTS OF 4-FERMION OPERATORS WITH QUENCHED WILSON FERMIONS

Citation
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
Citations number
31
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
55
Issue
7
Year of publication
1997
Pages
4036 - 4054
Database
ISI
SICI code
0556-2821(1997)55:7<4036:MO4OWQ>2.0.ZU;2-J
Abstract
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.