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The Kaon B-Parameter in Staggered Chiral Perturbation Theory

Ruth S. Van de Water·Stephen R. Sharpe
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Abstract

We calculate the kaon B-parameter, B_K, to next-to-leading order in staggered chiral perturbation theory. We extend the usual power counting to include the effects of using perturbative (rather than non-perturbative) matching factors. Taste breaking enters through the O(a^2) terms in the effective action, through mixing with higher-dimension operators, and through the truncation of matching factors. These effects cause mixing with several additional operators, complicating the chiral and continuum extrapolations. We summarize the results here; all details can be found in hep-lat/0507012.

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Ruth S. Van de Water, Stephen R. Sharpe. 2005-09-30. The Kaon B-Parameter in Staggered Chiral Perturbation Theory. https://arxiv.org/abs/hep-lat/0509195

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