Isospin Analysis of Two-body B Decays and Test of Factorization

Abstract

It is shown that the existing data on two-body B decays, some of them only upper limits, are precise enough to perform an isospin analysis to extract the phase shifts due to final state interaction. Unlike charm decays, no significant final state interaction is observed in decays $B\to D\pi, D\rho$, and $D^*\pi$ supporting the factorization hypothesis in these decays. By fitting directly the isospin amplitudes obtained, we extract the ratio $a_2/a_1$, where $a_1$ and $a_2$ are the coefficients in the factorized effective Hamiltonian.