Study of 
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 decays in the perturbative QCD approach

Li, Ying; Liu, Xin

doi:10.1103/physrevd.97.053005

“…[3]. On the theoretical side, two-body B meson decays to scalar mesons have been explored widely in different approaches, such as the QCD factorization (QCDF) [4][5][6][25][26][27] and the perturbative QCD approach (PQCD) [28][29][30][31][32][33][34][35][36]. Combinations of the well measured experimental data with the precise theoretical predictions provide us another way to determine the nature of the scalar mesons.…”

Section: Introductionmentioning

confidence: 99%

Charmless $$B_s\rightarrow V S$$ decays in PQCD approach

Liu

¹

,

Li

²

,

Liu

³

et al. 2022

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In this work, we investigate the $$B_s\rightarrow V S$$ B s → V S decays in the perturbative QCD approach, where V and S denote the vector meson and scalar meson respectively. Based on the two-quark structure, considering two different scenarios for describing the scalar mesons, we calculate the branching fractions and the direct CP asymmetries of all $$B_s\rightarrow VS$$ B s → V S decays. Most branching fractions are predicted to be at $$10^{-7}$$ 10 - 7 to $$10^{-5}$$ 10 - 5 , which could be measured in the LHCb and Belle-II experiments, especially for these color-allowed decays $$B_s\rightarrow \kappa (800)(K_0^*(1430))K^*$$ B s → κ ( 800 ) ( K 0 ∗ ( 1430 ) ) K ∗ and $$B_s\rightarrow K_0^{*-}(1430)\rho ^+$$ B s → K 0 ∗ - ( 1430 ) ρ + . It is found that the branching fractions of $$B_s\rightarrow K_0^{*0}(1430){\bar{K}}^{*0}$$ B s → K 0 ∗ 0 ( 1430 ) K ¯ ∗ 0 and $$B_s\rightarrow K_0^{*+}(1430){\bar{K}}^{*-}$$ B s → K 0 ∗ + ( 1430 ) K ¯ ∗ - are very sensitive to the scenarios, which can be used to determine whether $$K_0^{*0}(1430)$$ K 0 ∗ 0 ( 1430 ) belongs to the ground state or the first excited state, if the data were available. We also note that some decays have large direct CP asymmetries, some of which are also sensitive to the scenarios, such as the $$B_s \rightarrow a_0^+(1450)K^{*-}$$ B s → a 0 + ( 1450 ) K ∗ - and the $$B_s\rightarrow f_0(1500) K^{*0}$$ B s → f 0 ( 1500 ) K ∗ 0 decays. Since the experimental measurements of $$B_s\rightarrow VS$$ B s → V S decays are on the way, combined with the available data in the future, we expect the theoretical predictions will shed light on the structure of the scalar mesons.

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“…Based on the pQCD method, Refs. [9][10][11][12] studied the direct CP asymmetry parameter of two-body decays of B c meson with one light final state. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…10) are the Wilson coefficients and μ is the renormalization scale. Q 1 and Q 2 are the tree diagram operators.…”

mentioning

confidence: 99%

CP violation in non-leptonic $$B_c$$ decays to excited final states

Zhou

¹

,

Wang

²

,

Fu

³

et al. 2021

Eur. Phys. J. C

5

0

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We study the CP violation in two-body nonleptonic decays of $$B_c$$ B c meson. We concentrate on the decay channels which contain at least one excited heavy meson in the final states. Specifically, the following channels are considered: $$B_c\rightarrow c{\bar{c}}(2S, 2P)+{\bar{c}}q(1S, 1P)$$ B c → c c ¯ ( 2 S , 2 P ) + c ¯ q ( 1 S , 1 P ) , $$B_c\rightarrow c{\bar{c}}(1S)+{\bar{c}}q(2S, 2P)$$ B c → c c ¯ ( 1 S ) + c ¯ q ( 2 S , 2 P ) , $$B_c\rightarrow c{\bar{c}}(1P)+{\bar{c}}q(2S)$$ B c → c c ¯ ( 1 P ) + c ¯ q ( 2 S ) , $$B_c\rightarrow c{\bar{c}}(1D)+{\bar{c}}q(1S, 1P)$$ B c → c c ¯ ( 1 D ) + c ¯ q ( 1 S , 1 P ) , and $$B_c\rightarrow c{\bar{c}}(3S)+{\bar{c}}q(1S)$$ B c → c c ¯ ( 3 S ) + c ¯ q ( 1 S ) . The improved Bethe-Salpeter method is applied to calculate the hadronic transition matrix element. Our results show that some decay modes have large branching ratios, which is of the order of $$10^{-3}$$ 10 - 3 . The CP violation effect in $$B_c \rightarrow \eta _c(1S)+D(2S)$$ B c → η c ( 1 S ) + D ( 2 S ) , $$B_c \rightarrow \eta _c(1S)+D_0^{*}(2P)$$ B c → η c ( 1 S ) + D 0 ∗ ( 2 P ) , and $$B_c \rightarrow J/\psi +D^{*}(2S)$$ B c → J / ψ + D ∗ ( 2 S ) are most likely to be found. If the detection precision of the CP asymmetry in such channels can reach the $$3\sigma $$ 3 σ level, at least $$10^7$$ 10 7 $$B_c$$ B c events are needed.

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“…So, in order to calculate these decays reliably, we should go beyond the naive factorization and evaluate the contributions from the nonfactorizable and annihilation type diagrams. In the past few years, the decays involving a scalar meson or a tensor meson in final states have been already explored in different approaches, such as the generalized factorization approach [28], QCD factorization (QCDF) [19,[29][30][31][32][33][34][35] and perturbative QCD approach (PQCD) [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54]. Based on the researching achievements of processes, and stimulated by the experimental data, in this work ,we shall extend our studies to the B 0(+) → K * 0(+) 0 f 0 /σ and B 0(+) → K * 0(+) 2 f 0 /σ decays in PQCD approach, and try to provide new understanding to the mixing angle of the σ − f 0 mixing.…”

Section: Introductionmentioning

confidence: 99%

Calculation of the $$B\rightarrow K_{0,2}^*(1430)f_0(980)/\sigma $$ decays in the perturbative QCD approach

Li

¹

,

Yang

²

,

Li

³

et al. 2019

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Motivated by the observations of the decays B 0 → K * 0 (1430) 0 f0(980) and B 0 → K * 2 (1430) 0 f0(980) from BaBar collaboration, we study the B 0(+) → K * 0,2 (1430) 0(+) f0(980)/σ decays in the perturbative QCD approach for the first time. In the absence of reliable nonperturbative wave functions we only assume the scalar meson f0(980) and σ are two-quark ground states. In our calculations, these decays are all dominated by the hard-scattering emission and annihilation diagrams, while the factorizable emission diagrams are forbidden or suppressed heavily by the vector decay constants. Furthermore, the branching fractions are sensitive to the mixing between f0(980) and σ. Comparing our results with the experimental data, a large mixing angle θ is favored. Taking θ = 145 • , the orders of branching fractions of B → K * 0 (1430) 0 σ, B → K * 2 (1430) 0 σ and B → K * 0,2 (1430) 0 f0(980) are predicted to be 10 −4 , 10 −5 and 10 −6 , respectively, which can be measured in the current experiments such as LHCb and Belle-2. In addition, although these decays are penguin dominant, the mixing also leads to large direct CP asymmetries in these decays. With the precise data in future, our results could shed light on the inner structure of the scalar mesons and can be used to determine the mixing angle of the σ − f0(980) system.

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Study of Bc→DS decays in the perturbative QCD approach

Cited by 10 publications

References 92 publications

Charmless $$B_s\rightarrow V S$$ decays in PQCD approach

Charmless $$B_s\rightarrow V S$$ decays in PQCD approach

CP violation in non-leptonic $$B_c$$ decays to excited final states

Calculation of the $$B\rightarrow K_{0,2}^*(1430)f_0(980)/\sigma $$ decays in the perturbative QCD approach

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