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Kaon mixing and the charm mass

2004/06/30 by O. Cata, S. Peris · 1 citation
Physics and Astronomy · #hep-ph #hep-lat

paper · pdf · doi:10.1088/1126-6708/2004/07/079

published as JHEP0407:079,2004 · 20 pages, 5 figures. Typos fixed

arxiv created 2004/09/15 · arxiv updated 2009/12/01

Abstract

We study contributions to the Delta S=2 weak Chiral Lagrangian producing K0-K0bar mixing which are not enhanced by the charm mass. For the real part, these contributions turn out to be related to the box diagram with up quarks but, unlike in perturbation theory, they do not vanish in the limit mu->0. They increase the leading contribution to the KL-KS mass difference by ~10%. This means that short distances amount to (90+-15)% of this mass difference. For the imaginary part, we find a correction to the lambdac2 mc2 term of -5% from the integration of charm, which is a small contribution to epsilonK. The calculation is done in the large-Nc limit and we show explicitly how to match short and long distances.

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