On the $p^4$--corrections to $K \to 3π$ decay amplitudes in nonlinear and linear chiral models

A. A. Bel'kov; G. Bohm; A. V. Lanyov; A. Schaale

paper

On the $p^{4}$ --corrections to $K \to 3 π$ decay amplitudes in nonlinear and linear chiral models

arXiv:hep-ph/9309329

Abstract

The calculations of isotopic amplitudes and their results for the direct $C P$ --violating charge asymmetry in $K^{\pm} \to 3 π$ decays within the nonlinear and linear ( $σ$ --model) chiral Lagrangian approach are compared with each other. It is shown, that the latter, taking into account intermediate scalar resonances, does not reproduce the $p^{4}$ --corrections of the nonlinear approach introduced by Gasser and Leutwyler, being saturated mainly by vector resonance exchange. The resulting differences concerning the $C P$ violation effect are traced in some detail.

14 pages

On the p4--corrections to K→3π decay amplitudes in nonlinear and linear chiral models

Abstract

On the $p^{4}$ --corrections to $K \to 3 π$ decay amplitudes in nonlinear and linear chiral models