Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-02-12
Eur.Phys.J.C10:271-292,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
50 pages, LaTeX, 13 eps figures
Scientific paper
10.1007/s100529900084
We present a new analysis of the Delta I = 1/2 rule in K --> pi pi decays and the B_K parameter. We use the 1/N_c expansion within the effective chiral lagrangian for pseudoscalar mesons and compute the hadronic matrix elements at leading and next-to-leading order in the chiral and the 1/N_c expansions. Numerically, our calculation reproduces the dominant Delta I = 1/2 K --> pi pi amplitude. Our result depends only moderately on the choice of the cutoff scale in the chiral loops. The Delta I = 3/2 amplitude emerges sufficiently suppressed but shows a significant dependence on the cutoff. The B_K parameter turns out to be smaller than the value previously obtained in the 1/N_c 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 Delta I = 3/2 K --> pi pi amplitude and the (|Delta S| = 2) K^0 -- anti K^0 transition amplitude.
Hambye Thomas
Koehler Gerhard O.
Soldan Peter H.
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