The weak radiative Cabibbo allowed decays D + →K 0 π + γ and D 0 → K − π + γ with nonresonant Kπ are investigated by relying on the factorization approximation for the nonleptonic weak transitions and the model which combines the heavy quark effective theory and the chiral Lagrangian approach. The dominant contributions to the amplitudes come from the long distance effects. The decay amplitude has both parity violating and parity conserving parts. The parity violating part includes also a bremsstrahlung contribution. The branching ratio obtained for the parity conserving part is of the order 10 −4 for the D 0 → K − π + γ decay and 10 −5 for D + →K 0 π + γ, when the effect of light vector mesons is included, and smaller otherwise. The branching ratio for the parity violating part with a photon energy cut of 50 MeV, is close to 10 −3 for the D 0 decay and 4 × 10 −4 for the D + decay. We present Dalitz plots and energy spectra for both transitions as derived from our model and we probe the role of the light vector mesons in these decays.
We investigate the decay mechanisms in the D + decay rate, which is therefore expected to be within the experimental reach. Finally, the proposed mechanism of hidden strangeness FSI constitutes only a small correction to the Cabibbo allowed decay rates D s → KK * , φπ, which are well described already in the factorization approximation.
We investigate the decay mechanism in the B − → φφK − decay with the φφ invariant mass below the charm threshold and in the neighborhood of the η c invariant mass region. Our approach is based on the use of factorization model and the knowledge of matrix elements of the weak currents. For the B meson weak transition we apply form factor formalism, while for the light mesons we use effective weak and strong Lagrangians. We find that the dominant contributions to the branching ratio come from the η, η ′ and η(1490)) pole terms of the penguin operators in the decay chains B − → η(η ′ , η(1490))K − → φφK − . Our prediction for the branching ratio is in agreement with the Belle's result.
I. INTRODUCTIONIt is a very fruitful era in B meson physics. A lot of experimental data on B meson decays is coming from the B meson factories. Many of their results are still not explained. Recently, Belle collaboration has announced the observation of the BR(B ± → φφK ± ) = (2.6for a φφ invariant mass below 2.85 GeV. This is the first of the three-body B decays with two vector mesons and one pseudoscalar meson in the final state that has been observed. The B meson decays into three pseudoscalar mesons have been studied [2,3] within heavy quark symmetry accompanied by chiral symmetry. One might explain the observed rates using heavy quark symmetry for the strong vertices, while for the weak transition we rely on the existing knowledge of the form factors [2]. The three-body decay with two vector meson states and one pseudoscalar is much more difficult to approach.The additional insight on the decay mechanism might come from the analysis of the B meson two-body decays. Particularly interesting are the decaysThey have been extensively studied using different existing techniques: the naive factorization [4,5,6], the QCD factorization [7] and the SU(3) symmetry [8]. Each of these decay modes is rather difficult to explain theoretically. The decays B ± → φK ± and B ± → K * ± φ might have significant annihilation contribution [4, 6, 9], but it is not simple to have a consistent treatment of it. There is an interesting proposal [6] in which the angular distributions of the final outgoing particles can be used to estimate the magnitude of annihilation contribution to the amplitude. However, we have to wait for the new experimental data to extract the size of the annihilation contribution. The B ± → η(η ′ )K ± decay rate has not been easy to explain. It accounts for the wellknown problem of the η − η ′ mixing [10,11] as can be seen from a variety of approaches used for 4,12,13,14]. In the B ± → η(η ′ )K ± decay mode, it seems that the annihilation contribution is not very significant [4,13].One has to expect that the above described difficulties in these decay modes might appear in the three-body decay we discuss. Based on the current knowledge of twobody transitions, we build a simple model which might clarify the role of the non-charm contributions in the BR(B ± → φφK ± ) decay. In our study of the B ± → φφK ± decay mechanism, we f...
The amplitudes for decays of the typehave relatively small factorizable contributions through the annihilation mechanism. The dominant contributions to the decay amplitudes arise from chiral loop contributions and tree level amplitudes which can be obtained in terms of soft gluon emissions forming a gluon condensate. We predict that the branching ratios for the processesB. We obtain branching ratios for two D * 's in the final state of order two times bigger.
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