SS-wave resonance contributions to the B(s)0J/ψπ+πB^0_{(s)}\to J/\psi\pi^+\pi^- and Bsπ+πμ+μB_s\to\pi^+\pi^-\mu^+\mu^- decays

Feb 19, 2015
12 pages
Published in:
  • Phys.Rev.D 91 (2015) 9, 094024
  • Published: May 21, 2015
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Abstract: (APS)
We study S-wave resonance contributions to the B(s)0→J/ψπ+π- and Bs→π+π-μ+μ- decays in the perturbative QCD framework by introducing two-hadron distribution amplitudes for final states. The Breit–Wigner formula for the f0(500), f0(1500), and f0(1790) resonances and the Flatté model for the f0(980) resonance are adopted to parametrize the timelike scalar form factors in the two-pion distribution amplitudes, which include both resonant and nonresonant contributions. The resultant branching fraction and differential branching fraction in the pion-pair invariant mass for each resonance channel are consistent with experimental data. The determined S-wave two-pion distribution amplitudes, containing the information of both resonant and nonresonant rescattering phases, can be employed to predict direct CP asymmetries of other three-body hadronic B meson decays in various localized regions of two-pion phase space.
Note:
  • 13 pages, 3 figures
  • 13.20.He
  • 13.25.Hw
  • 13.30.Eg
  • quantum chromodynamics: perturbation theory
  • B0: semileptonic decay
  • B0: hadronic decay
  • B/s0: semileptonic decay
  • B/s0: hadronic decay
  • form factor: scalar
  • hadron: distribution amplitude