Three-body decays of B⁰⁽⁺⁾ → K^*0(+) π⁺ π⁻

Abstract

We are interested in the analysis of the three-body decays of B ⁰ → K ^*0π⁺π⁻ and B ⁺ → K ^*+π⁺π⁻. There are tree and penguin diagrams for these decay modes in the naive factorization approach and the transition matrix element of them is factorized into a B → π⁺π⁻ form factor multiplied by 0 → K ^* decay constant and B → K ^* form factor multiplied into 0 → π⁺π⁻ weak and electromagnetic vertices form factor. We investigate these decays by using the Dalitz plot analysis. We use the general form of this technique for the calculation of the B ⁰ → K ^*0π⁺π⁻ and B ⁺ → K ^*+π⁺π⁻ decays and obtain the values (3.74 ± 0.50) × 10⁻⁵ and (9.64 ± 1.37) × 10⁻⁵ for the branching ratios, while the experimental results are (5.50 ± 0.50) × 10⁻⁵ and (7.50 ± 1.00) × 10⁻⁵, respectively. The branching ratios obtained by applying the Dalitz plot analysis are compatible with the experimental results.