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

We are interested in the analysis of the three-body decays of B0 → 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 B0 → 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.