Final state hadronic interactions and non-resonant $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ decays

Abstract

We evaluate the non-resonant decay amplitude of the process $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ using an approach based on final state hadronic interactions described in terms of meson exchanges. We conclude that this mechanism generates inhomogeneities in the Dalitz plot of the B decay.

6 pages, 5 figures. Major changes. Version accepted for publication in Phys. Lett. B

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• CP asymmetries in three-body B+- decays to charged pions and kaons
• Laura++ : a Dalitz plot fitter
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
• Contributions for the kaon pair from $\rho (770)$, $\omega (782)$ and their excited states in the $B\to K\bar{K}h$ decays
• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• Recent Developments on the CKM Matrix
• Scalar mesons from Heavy Flavor Decays
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson