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AbstractAbstract
[en] We present a new analysis of the ΔI=1/2 rule in K→ππ decays and the BK parameter. We use the 1/Nc expansion in the effective chiral lagrangian for the pseudoscalar mesons and compute the hadronic matrix elements at leading and next-to-leading order in the chiral and the 1/Nc expansions. Numerically, our calculation reproduces the dominant ΔI=1/2 K→ππ amplitude. Our result depends only moderately on the choice of the cutoff scale in the chiral loops. The ΔI=3/2 amplitude emerges sufficiently suppressed but shows a significant dependence on the cutoff. The BK parameter turns out to be smaller than the value previously obtained in the 1/Nc approach. It also shows a significant dependence on the choice of the cutoff scale. Our results indicate that corrections from higher order terms and/or higher resonances are large for the ΔI=3/2 K→ππ amplitude and the (Δvertical stroke S vertical stroke =2) K0- anti K0 transition amplitude. (orig.)
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53 refs.
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Journal Article
Journal
European Physical Journal. C; ISSN 1434-6044;
; v. 10(2); p. 271-292

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AMPLITUDES, ANTIKAONS, ANTIMATTER, ANTIPARTICLES, BOSONS, COMPOSITE MODELS, DECAY, DIAGRAMS, ELEMENTARY PARTICLES, FIELD THEORIES, HADRONS, INFORMATION, INTERACTIONS, KAONS, KAONS NEUTRAL, MATHEMATICAL MODELS, MATTER, MESONS, PARTICLE DECAY, PARTICLE MODELS, PARTICLE PROPERTIES, PSEUDOSCALAR MESONS, QUANTUM FIELD THEORY, QUARK MODEL, SERIES EXPANSION, STRANGE MESONS, STRANGE PARTICLES, SYMMETRY, TRANSITION AMPLITUDES, WEAK PARTICLE DECAY
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