Interference between f0(980) and rho(770) resonances in B --> pion-pion-kaon decays

Abstract

We study the contribution of the strong interaction between the two pions in S- and P-waves to the weak B --> pion pion kaon decay amplitudes. The interference between these two waves is analyzed in the pion-pion effective mass range of the rho(770) and f0(980) resonances. We use a unitary pion-pion and antikaon-kaon coupled-channel model to describe the S-wave interactions and a Breit-Wigner function for the P-wave amplitude. The weak B-decay amplitudes, obtained from QCD factorization, are supplemented with charming penguin contributions in both waves. The four complex parameters of these long distance terms are determined by fitting the model to the BaBar and Belle data on B^{+,-,0} --> pi+ pi- K^{+,-,0} branching fractions, CP asymmetries, pion-pion effective mass and helicity-angle distributions. This set of data, and in particular the large direct CP-asymmetry for B^{+,-} --> rho0(770) K^{+,-} decays, is well reproduced. The interplay of charming penguin amplitudes and the interference of S- and P-waves describes rather successfully the experimental S and A values of the CP-violating asymmetry for both B0 --> f0(980) K0S and B0 --> rho0(770) K0S decays.

12 pages, 7 figures, subsection VD, Appendix A and one reference added

References in corpus (22)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Final State Interactions in Hadronic B Decays
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Charming Penguins in B decays
• Direct CP Violating Asymmetry in B0 -> K+pi- Decays
• Dalitz analysis of the three-body charmless decays B+=>K+Pi+Pi- and B+=>K+K+K-
• Evidence for Large Direct CP Violation in B+-=>rho(770)0K+- from Analysis of the Three-Body Charmless B+-=>K+-pi+-pi-+ Decay
• Corrections to sin(2 beta) from CP asymmetries in B^0 -> (pi^0,rho^0,eta,eta^',omega,phi) K_S decays
• Dalitz-plot analysis of the decays B+/- --> K+/- pi-/+ pi+/-
• J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
• Effects of Final-state Interactions on Mixing-induced CP Violation in Penguin-dominated B Decays
• The Pattern of CP Asymmetries in $b\to s$ Transitions
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• Three channel model of meson-meson scattering and scalar meson spectroscopy
• Comment on ``B->M_1 M_2: Factorization, charming penguins, strong phases, and polarization''
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• Annihilation contribution and $B\to a_0\pi ,f_{0}K$ decays
• Factorization fits and the unitarity triangle in charmless two-body B decays
• Direct CP Violation, Branching Ratios and Form Factors $B\to \pi$, $B\to K$ in $B$ Decays

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