Weak Annihilation Topologies and Final State Interactions in D -> PP Decays

Abstract

We study two-body D -> PP decays, assuming that each decay process go through the bare amplitude followed by elastic SU(3) rescattering, where the bare amplitude consists of (i) the color-allowed and color-suppressed factorization amplitudes and (ii) the short-distance weak annihilation amplitudes. We have performed the χ^2 fit on 14 branching ratios of D -> PP decays in the formalism of the above mentioned model. The final state interactions can be well accounted for by the short-distance annihilation topologies and SU(3) rescatterings. The two SU(3) rescattering phase differences are δ\equiv δ_{27}-δ_{8} \simeq -46^\circ and σ\equiv δ_{27}-δ_{1} \simeq -21^\circ, where δ_{27}, δ_{8} and δ_{1}are the rescattering phases of final states corresponding to the representations 27, 8 and 1, respectively. We find that the D^0 -> K^0 \bar{K}^0 decay occurs mainly due to the nonzero short-distance weak annihilation effects, originating from SU(3) symmetry-breaking corrections to the distribution amplitudes of the final-state kaons, but receives tiny effects from other modes via SU(3) rescattering. Our results are in remarkable accordance with the current data.

27 pages; v3: some formulas corrected, the statement corrected in footnote 3 where the solution with "positive" a_1^K is stressed, to appear in Phys. Rev. D

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• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• On the SU(3) Symmetry-Breaking Corrections to Meson Distribution Amplitudes
• Kaon Distribution Amplitude from QCD Sum Rules
• Annihilation in Factorization-suppressed B Decays Involving a 1^1P_1 Meson and Search for New-Physics Signals
• Observation of B0bar --> D0 eta' and B0bar --> D*0 eta'

Cited by in corpus (7)

• Two-body hadronic charmed meson decays
• Direct CP violation in two-body hadronic charmed meson decays
• Strong phases, asymmetries, and SU(3) symmetry breaking in D --> K pi decays
• Measurement of exclusive D meson decays to eta and eta' final states and SU(3) amplitude analysis
• Non-leptonic decays of Charmed mesons into two Pseudoscalars
• Asymmetries from the interference between Cabibbo-favored and doubly-Cabibbo-suppressed D decays
• Study of W-exchange Mode $D^0\to \varphi {\bar{K}}^0$