Renormalization of K⁺K⁻ → π⁰π⁺π⁻

H. H. Shih ； Y. C. Lin

《Chinese Journal of Physics》 35卷1期 (1997/02) Pp. 13-24

並列摘要

We derive the vertices of five-meson and seven-meson anomaly processes from the four dimensional expansion form of the Wess-Zumino term. Using these vertices we calculate the amplitude, for both the finite part and divergent part, of K⁺K⁻ → π⁰π⁺π⁻ to one loop and renormalize the Lagrangian. The divergent part agrees with the result derived from the path integral approach. The contribution from counter terms is estimated by using the vector meson dominance model. A test of the vertex in the t-channel of K⁻P → ∑⁰π⁰π⁺π⁻ near the threshold is discussed. We find that the amplitudes arising from chiral loops and counter terms are of opposite sign and the counter term amplitude is about two times as large as the loop amplitude.