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The B0→KS0K+K− decay amplitude is derived within a quasi-two-body QCD factorization framework in terms of kaon form factors and B0 to two-kaon-transition functions. The final state kaon-kaon interactions in the S, P, and D waves are taken into account. The unitarity constraints are satisfied for the two kaons in scalar states. It is shown that with few terms of the full decay amplitude one may reach a fair agreement with the total branching fraction and Dalitz-plot projections published in 2010 by the Belle Collaboration and in 2012 by the Collaboration. With 13 free parameters, our model fits the corresponding 422 data with a χ2 of 583.6 which leads to a χ2 per degree of freedom equal to 1.43. The dominant branching fraction arises from the f0(K+K−)KS0 mode with 83.0% of the total branching. The next important mode is dominated by ϕKS0 plus small ωKS0 and ρ0KS0 modes with 18.3% of the total. Then follows the a0±K∓ mode with 6.2%. Adding the other smaller modes, the total percentage sum is 107.7% which indicates a small interference contribution. In most regions of the Dalitz plot, our model gives rather small CP asymmetry, but in some parts its values can be large and positive or negative. Its predicted total value is equal to −0.11%. The calculated time dependent CP-asymmetry parameters agree, within errors, with those obtained by the analysis. Our model amplitude can be the basis for a parametrization in experimental Dalitz plot analyses of LHCb and Belle II Collaborations. Published by the American Physical Society 2024
The B0→KS0K+K− decay amplitude is derived within a quasi-two-body QCD factorization framework in terms of kaon form factors and B0 to two-kaon-transition functions. The final state kaon-kaon interactions in the S, P, and D waves are taken into account. The unitarity constraints are satisfied for the two kaons in scalar states. It is shown that with few terms of the full decay amplitude one may reach a fair agreement with the total branching fraction and Dalitz-plot projections published in 2010 by the Belle Collaboration and in 2012 by the Collaboration. With 13 free parameters, our model fits the corresponding 422 data with a χ2 of 583.6 which leads to a χ2 per degree of freedom equal to 1.43. The dominant branching fraction arises from the f0(K+K−)KS0 mode with 83.0% of the total branching. The next important mode is dominated by ϕKS0 plus small ωKS0 and ρ0KS0 modes with 18.3% of the total. Then follows the a0±K∓ mode with 6.2%. Adding the other smaller modes, the total percentage sum is 107.7% which indicates a small interference contribution. In most regions of the Dalitz plot, our model gives rather small CP asymmetry, but in some parts its values can be large and positive or negative. Its predicted total value is equal to −0.11%. The calculated time dependent CP-asymmetry parameters agree, within errors, with those obtained by the analysis. Our model amplitude can be the basis for a parametrization in experimental Dalitz plot analyses of LHCb and Belle II Collaborations. Published by the American Physical Society 2024
Motivated by the accumulated experimental results on three-body charmed B decays with resonance contributions in , LHCb, and Belle (II), we systematically analyze B(s)→D(s)(V→)P1P2 decays with V representing a vector resonance (ρ,K*,ω, or ϕ) and P1,2 as a light pseudoscalar meson (pion or kaon). The intermediate subprocesses B(s)→D(s)V are calculated with the factorization-assisted topological-amplitude (FAT) approach and the intermediate resonant states V described by the relativistic Breit-Wigner distribution successively decay to P1P2 via strong interaction. Taking all lowest resonance states (ρ,K*,ω,ϕ) into account, we calculate the branching fractions of these decay modes as well as the Breit-Wigner-tail effects for B(s)→D(s)(ρ,ω→)KK. Our results agree with the data by , LHCb, and Belle (II). Among the predictions that are still not observed, there are some branching ratios of order 10−6–10−4 which are hopeful to be measured by LHCb and Belle II. Our approach and the perturbative QCD approach (PQCD) adopt the compatible theme to deal with the resonance contributions. What is more, our data for the intermediate two-body charmed B-meson decays in FAT approach are more precise. As a result, our results for branching fractions have smaller uncertainties, especially for color-suppressed emission diagram dominated modes. Published by the American Physical Society 2024
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