Final state interactions and CP violation in B decays to three pseudoscalars

TL;DR

This paper investigates CP violation in B meson decays to three pseudoscalars, emphasizing the role of final state interactions and charming penguin contributions to match experimental data.

Contribution

It introduces a combined approach using QCD factorization and phenomenological charming penguin amplitudes to accurately model B decay distributions.

Findings

Final state interactions are dominated by scalar and vector resonances.

Charming penguin amplitudes are essential for fitting experimental data.

The model successfully reproduces observed mass and angular distributions.

Abstract

We study CP violation and final state interactions between pions and kaons in B+, B-, B0 and bar B0 decays into K pi pi. The weak transition amplitudes consist of two terms: the first part is derived in QCD factorization approach and the second one is a phenomenological long-distance charming penguin contribution. The final state K pi interactions in S- and P-waves are described by strange scalar and vector form factors, respectively. These are determined using a unitary coupled channel model together with chiral symmetry and asymptotic QCD constraints. The final state interactions are dominated by presence of the scalar K*0(1430) and the vector K*(892) resonances. We show that additional charming penguin amplitudes are needed to reproduce the latest experimental K pi effective mass and helicity angle distributions, branching fractions and asymmetries obtained by Belle and BaBar collaborations.