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In the present work, we investigate the decays of $B^{0}_{s} \rightarrow\phi\pi^{+}\pi^{-}$ and $B^{0} \rightarrow \phi\pi^{+}\pi^{-}$ with the finalstate interactions based on the chiral unitary approach. In the final stateinteractions of the $\pi^+\pi^-$ with its coupled channels, we study theeffects of the $\eta\eta$ channel in the two-body interactions for thereproduction of the $f_{0}(980)$ state. Our results for the $\pi^+\pi^-$invariant mass distributions of the decay $B^{0}_{s} \rightarrow\phi\pi^{+}\pi^{-}$ describe the experimental data up to 1 GeV well, with theresonance contributions from the $f_{0}(980)$ and $\rho$. For the predictedinvariant mass distributions of the $B^{0} \rightarrow \phi\pi^{+}\pi^{-}$decay, we found that the contributions from the $f_{0}(500)$ are significantexcept for the ones from the $f_{0}(980)$ state. With some experimentalbranching ratios as input to determine the production vertex factors, we makesome predictions for the branching ratios of the other final decay channels,including the vector mesons, in the $B^0_{(s)}$ decays, where some of them areconsistent with the experimental ones within the uncertainties.

Study $B^{0}_{(s)}$ decays into $\phi$ and a scalar or vector meson