Towards a unitary Dalitz plot analysis of three-body hadronic B decays

TL;DR

This paper develops a comprehensive unitary model for analyzing three-body hadronic B decays involving kaons and pions, improving the understanding of decay dynamics and CP asymmetries.

Contribution

It introduces a novel unitary approach combining QCD factorization with phenomenological contributions for B decay analysis.

Findings

Good agreement with experimental data for B --> K*(892) pi decays

Predicted branching fractions for K*0(1430) pi are smaller than experimental results

Proposes a new parameterization for the S-wave kaon-pion mass distribution.

Abstract

A unitary model of the final state kaon pion interaction amplitudes in the B --> K pi pi decays is constructed. The weak decay penguin amplitudes, derived in QCD factorization, are supplemented by phenomenological contributions. The strange kaon- pion scalar and vector form factors are used to calculate the kaon pion effective mass and helicity angle distributions, branching ratios, CP asymmetries and the phase difference between the B0 and anti B0 decay amplitudes to K*(892) pi. The fit on the phenomenological parameters leads to a good agreement with the experimental data, particularly for the B --> K*(892) pi decays. However, our predicted B+- --> K*0(1430) pi+-, K*0(1430)--> K+-pi-+ branching fraction is smaller than the results of the Belle and BaBar collaborations, obtained from isobar model analyses. A new parameterization of the S-wave kaon- pion effective mass distribution, which can be used in future experimental Dalitz plot analyses, is proposed.