Status Report on Weak Matrix Element Calculations

Details Status Report on Weak Matrix Element Calculations Status Report on Weak Matrix Element Calculations

1995-12-04

arxiv.org/abs/hep-lat/9512006v1

Nucl.Phys.Proc.Suppl. 47 (1996) 473-480

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages. Talks presented at Lattice 95. Latex. Modified "axis" source for figures also included

Scientific paper

10.1016/0920-5632(96)00104-1

This talk presents results of weak matrix elements calculated from simulations done on 170 $32^3 \times 64$ lattices at $\beta = 6.0$ using quenched Wilson fermions. We discuss the extraction of pseudoscalar decay constants $f_\pi$, $f_K$, $f_D$, and $f_{D_s}$, the form-factors for the rare decay $B \to K^* \gamma$, and the matrix elements of the 4-fermion operators relevant to $B_K$, $B_7$, $B_8$. We present an analysis of the various sources of systematic errors, and show that these are now much larger than the statistical errors for each of these observables. Our main results are $f_D=186(29) \MeV$, $f_{D_s}=224(16) MeV$, $T_1=T_2=0.24(1)$, $B_K(NDR, 2\GeV)=0.67(9)$, and $B_8(NDR, 2\GeV)=0.81(1)$.

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