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

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arXiv · hep-ph/9309329

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

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Abstract

The calculations of isotopic amplitudes and their results for the direct $CP$--violating charge asymmetry in $K^\pm \to 3π$ 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 $CP$ violation effect are traced in some detail.

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A. A. Bel'kov, G. Bohm, A. V. Lanyov, A. Schaale. 1993-09-27. On the $p^4$--corrections to $K \to 3π$ decay amplitudes in nonlinear and linear chiral models. https://arxiv.org/abs/hep-ph/9309329

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