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The Kaon $B$-parameter with Wilson Fermions

Gupta, Rajan and Daniel, David and Kilcup, Gregory W and Patel, Apoorva and Sharpe, Stephen R (1992) The Kaon $B$-parameter with Wilson Fermions. [Preprint]


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We calculate the kaon $B$-parameter in quenched lattice QCD at $\beta=6.0$ using Wilson fermions at $\kappa=0.154$ and $0.155$. We use two kinds of non-local (``smeared'') sources for quark propagators to calculate the matrix elements between states of definite momentum. The use of smeared sources yields results with much smaller errors than obtained in previous calculations with Wilson fermions. By combining results for $\vec p =(0,0,0)$ and $\vec p =(0,0,1)$, we show that one can carry out the non-perturbative subtraction necessary to remove the dominant lattice artifacts induced by the chiral symmetry breaking term in the Wilson action. Our final results are in good agreement with those obtained using staggered fermions. We also present results for $B$-parameters of the $\Delta I = 3/2$ part of the electromagnetic penguin operators, and preliminary results for Bk in the presence of two flavors of dynamical quarks.

Item Type: Preprint
Additional Information: Phys.Rev. D47 (1993) 5113-5127
Department/Centre: Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 25 Aug 2008
Last Modified: 19 Sep 2010 04:13
URI: http://eprints.iisc.ac.in/id/eprint/920

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