CP violation and final state interactions in B --> K pi pi decays

TL;DR

This paper investigates CP violation and final state interactions in three-body B meson decays into K pi pi, proposing a QCD-based approach that improves understanding of decay dynamics and CP asymmetries.

Contribution

It introduces an alternative QCD factorization method for three-body B decays, incorporating meson-meson form factors and phenomenological penguin amplitudes.

Findings

The model describes branching fractions and CP asymmetries with improved accuracy.

Predictions for B --> K0*(1430) pi decay are about 52% lower than experimental measurements.

Inclusion of final state interactions enhances the understanding of decay distributions.

Abstract

Effects of CP violation and of final state interactions between pairs of pseudoscalar mesons are studied in three-body B+, B-, B0 and antiB0 decays into K pi pi. An alternative approach to the isobar model for three-body B decays is proposed. It is based on the QCD factorization approximation and the knowledge of the meson-meson form factors. Some phenomenological charming penguin amplitudes are needed to describe the branching fractions, direct CP asymmetries of the quasi-two-body B --> K*(892) pi and B --> K0*(1430) pi decays as well as the K pi effective mass and the helicity angle distributions. The experimental branching fractions for the B --> K0*(1430) pi decay, obtained by the Belle and BaBar collaborations using the isobar model, are larger than our predictions by about 52 per cent.