Phenomenological analysis of the quasi-two-body
B → D ( R → ) K π
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Cited by 3 publications
References 46 publications
Analysis of three-body decays
B → D ( V → ) P P
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
Branching ratios and CP asymmetries of the quasi-two-body decays $$B_c \rightarrow \ K^{*}_0(1430,1950) D_{(s)} \rightarrow K \pi D_{(s)} $$ in the PQCD approach
In this paper, we investigate the quasi-two-body decays $$B_c \rightarrow K_0^{*}(1430,1950) D_{(s)} \rightarrow K \pi D_{(s)}$$ B c → K 0 ∗ ( 1430 , 1950 ) D ( s ) → K π D ( s ) within the perturbative QCD (PQCD) framework. The S-wave two-meson distribution amplitudes (DAs) are introduced to describe the final state interactions of the $$K\pi $$ K π pair, which involve the time-like form factors and the Gegenbauer polynomials. In the calculations, we adopt two kinds of parameterization schemes to describe the time-like form factors: one is the relativistic Breit–Wigner (RBW) formula, which is usually more suitable for the narrow resonances, and the other is the LASS line shape proposed by the LASS Collaboration, which includes both the resonant and nonresonant components. We find that the branching ratios and the direct CP violations for the decays $$B_c \rightarrow K_0^{*}(1430) D_{(s)}$$ B c → K 0 ∗ ( 1430 ) D ( s ) obtained from those of the quasi-two-body decays $$B_c \rightarrow K_0^{*}(1430) D_{(s)} \rightarrow K \pi D_{(s)}$$ B c → K 0 ∗ ( 1430 ) D ( s ) → K π D ( s ) under the narrow width approximation (NWA) can be consistent well with the previous PQCD results calculated in the two-body framework by assuming that $$K^*_0(1430)$$ K 0 ∗ ( 1430 ) is the lowest lying $$\bar{q} s$$ q ¯ s state, which is the so-called scenario II (SII). We conclude that the LASS parameterization is more suitable to describe the $$K_0^{*}(1430)$$ K 0 ∗ ( 1430 ) than the RBW formula, and the nonresonant components play an important role in the branching ratios of the decays $$B_c \rightarrow K_0^{*}(1430) D_{(s)} \rightarrow K \pi D_{(s)}$$ B c → K 0 ∗ ( 1430 ) D ( s ) → K π D ( s ) . In view of the large difference between the decay width measurements for the $$K_0^{*}(1950)$$ K 0 ∗ ( 1950 ) given by BaBar and LASS collaborations, we calculate the branching ratios and the CP violations for the quasi-two-body decays $$B_c \rightarrow K_0^{*}(1950) D_{(s)} \rightarrow K \pi D_{(s)}$$ B c → K 0 ∗ ( 1950 ) D ( s ) → K π D ( s ) by using two values, $$\Gamma _{K^*_0(1950)}=0.100\pm 0.04$$ Γ K 0 ∗ ( 1950 ) = 0.100 ± 0.04 GeV and $$\Gamma _{K^*_0(1950)}=0.201\pm 0.034$$ Γ K 0 ∗ ( 1950 ) = 0.201 ± 0.034 GeV, besides the two kinds of parameterizations for the resonance $$K^*_0(1950)$$ K 0 ∗ ( 1950 ) . We find that the branching ratios and the direct CP violations for the decays $$B_c \rightarrow K_0^{*}(1950) D_{(s)} \rightarrow K \pi D_{(s)}$$ B c → K 0 ∗ ( 1950 ) D ( s ) → K π D ( s ) have not as large difference between the two parameterizations as the case of decays involving the $$K^*_0(1430)$$ K 0 ∗ ( 1430 ) , especially for the results with $$\Gamma _{K^*_0(1950)}=0.201\pm 0.034$$ Γ K 0 ∗ ( 1950 ) = 0.201 ± 0.034 GeV. The effect of the nonresonant component in the $$K^*_0(1950)$$ K 0 ∗ ( 1950 ) may be not so serious as that in the $$K^*_0(1430)$$ K 0 ∗ ( 1430 ) . The quasi-two-body decays $$B^+_c \rightarrow K^{*+}_0(1430) D^{0} \rightarrow K^0 \pi ^+ D^{0}$$ B c + → K 0 ∗ + ( 1430 ) D 0 → K 0 π + D 0 and $$B^+_c \rightarrow K^{*0}_0(1430) D^{+} \rightarrow K^+ \pi ^- D^{+}$$ B c + → K 0 ∗ 0 ( 1430 ) D + → K + π - D + have large branching ratios, which can reach to the order of $$10^{-4}$$ 10 - 4 and are most likely to be observed in the future LHCb experiments. Furthermore, the branching ratios of the quasi-two-body decays $$B_c \rightarrow K_0^{*}(1950) D_{(s)} \rightarrow K \pi D_{(s)}$$ B c → K 0 ∗ ( 1950 ) D ( s ) → K π D ( s ) are about one order smaller than those of the corresponding decays $$B_c \rightarrow K_0^{*}(1430) D_{(s)} \rightarrow K \pi D_{(s)}$$ B c → K 0 ∗ ( 1430 ) D ( s ) → K π D ( s ) .
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