Numerical Study of $ K^0$--$\bar{K}^0$ Mixing and $ B_K $

Details Numerical Study of $ K^0$--$\bar{K}^0$ Mixing and $ B_K $ Numerical Study of $ K^0$--$\bar{K}^0$ Mixing and $ B_K $

1996-08-15

arxiv.org/abs/hep-lat/9608089v1

Physics

High Energy Physics

High Energy Physics - Lattice

51 pages, latex, 21 figures, uses epsf.sty, submitted to Phys. Rev. D

Scientific paper

We have computed $ B_K $ with staggered fermions, using two different methods: both in the one spin trace form and two spin trace form. Renormalized results in both forms are in good agreement. The numerical simulations were performed on a $ 16^3 \times 40 $ lattice in full QCD with $ \beta = 5.7 $. We also tried an improved wall source method in order to select only the pseudo-Goldstone bosons and compare the numerical results obtained with those from the conventional wall source method. We have studied $ B_K $ with a series of non-degenerate quark anti-quark pairs and saw no effect on $ B_K $, although dramatic effects in the chiral limit were seen on the individual terms making up $ B_K $.

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