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arxiv: hep-lat/0209136 · v1 · submitted 2002-09-18 · ✦ hep-lat

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Kaon Weak Matrix Elements with Wilson Fermions

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classification ✦ hep-lat
keywords resultselementsfermionskaonmatrixpreliminarywilsonbeta
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We present results of several numerical studies with Wilson fermions relevant for kaon physics. We compute the B_K parameter by using two different methods and extrapolate to the continuum limit. Our preliminary result is B_K(2 GeV)=0.66(7). Delta I=3/2 K->pi pi matrix elements are obtained by using the next-to-leading order expressions derived in chiral perturbation theory in which the low energy constants are determined by the lattice results computed at unphysical kinematics. From the simulation at beta=6.0 our (preliminary) results read: <pi pi|O_7(2 GeV)|K>_{I=2}=0.14(1)(1) GeV^3 and <pi pi|O_8(2GeV)|K>_{I=2}=0.69(6)(6) GeV^3.

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