Quasi-two-body decays BKρKππB\to K\rho\to K\pi\pi in perturbative QCD approach

Sep 15, 2016
11 pages
Published in:
  • Phys.Lett.B 763 (2016) 29-39
  • Published: Dec 10, 2016
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Abstract: (Elsevier)
We analyze the quasi-two-body decays B→Kρ→Kππ in the perturbative QCD (PQCD) approach, in which final-state interactions between the pions in the resonant regions associated with the P -wave states ρ(770) and ρ′(1450) are factorized into two-pion distribution amplitudes. Adopting experimental inputs for the time-like pion form factors involved in two-pion distribution amplitudes, we calculate branching ratios and direct CP asymmetries of the B→Kρ(770),Kρ′(1450)→Kππ modes. It is shown that agreement of theoretical results with data can be achieved, through which Gegenbauer moments of the P -wave two-pion distribution amplitudes are determined. The consistency between the three-body and two-body analyses of the B→Kρ(770)→Kππ decays supports the PQCD factorization framework for exclusive hadronic B meson decays.
Note:
  • 12 pages, 3 figures
  • 13.20.He
  • 13.25.Hw
  • 13.30.Eg
  • quantum chromodynamics: perturbation theory
  • quantum chromodynamics
  • pi: form factor
  • meson: decay
  • distribution amplitude
  • two-pion
  • rho(770)