New analysis of the rule in kaon decays
and the parameter
T. Hambye1 - G.O. Köhler2 - P.H. Soldan2
1 INFN - Laboratori Nazionali di Frascati,
P.O. Box 13, I-00044 Frascati, Italy
2 Institut für Physik, Universität Dortmund, D-44221 Dortmund, Germany (koehler, email@example.com)
Received: 22 February 1999 / Published online: 12 August 1999
We present a new analysis of the rule in decays and the parameter. We use the 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 expansions. Numerically, our calculation reproduces the dominant amplitude. Our result depends only moderately on the choice of the cutoff scale in the chiral loops. The amplitude emerges sufficiently suppressed but shows a significant dependence on the cutoff. The parameter turns out to be smaller than the value previously obtained in the 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 amplitude and the K0- transition amplitude.