2020
DOI: 10.1007/jhep03(2020)162
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Contributions of $$ {K}_0^{\ast } $$(1430) and $$ {K}_0^{\ast } $$(1950) in the three-body decays B → Kπh

Abstract: We study the contributions of the resonant states K * 0 (1430) and K * 0 (1950) in the three-body decays B → Kπh (with h = π, K) in the perturbative QCD approach. The crucial nonperturbative input F Kπ (s) in the distribution amplitudes of the S-wave Kπ system is derived from the matrix element of vacuum to Kπ pair. The CP averaged branching fraction of the quasi-two-body decay process B → K * 0 (1950)h → Kπh is about one order smaller than that of the corresponding decay B → K * 0 (1430)h → Kπh. In view of th… Show more

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Cited by 26 publications
(20 citation statements)
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References 157 publications
(213 reference statements)
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“…For B 1 and B 3 , unlike in the Refs. [78] where the authors have adopt the same values as ones of the K * 0 (1430) and large uncertainties were taken, we here determined these values to be B 1 = −0.4 and B 3 = −0.8 within the current experimental data [29], with which we then predict the six C P-violation observables later. F S (ω) is the time-like form factor, and in particular it is often parameterized by the relativistic Breit-Wigner (RBW) model.…”
Section: Framework and Amplitudesmentioning
confidence: 75%
See 2 more Smart Citations
“…For B 1 and B 3 , unlike in the Refs. [78] where the authors have adopt the same values as ones of the K * 0 (1430) and large uncertainties were taken, we here determined these values to be B 1 = −0.4 and B 3 = −0.8 within the current experimental data [29], with which we then predict the six C P-violation observables later. F S (ω) is the time-like form factor, and in particular it is often parameterized by the relativistic Breit-Wigner (RBW) model.…”
Section: Framework and Amplitudesmentioning
confidence: 75%
“…In Ref. [78], the authors studied the contributions of S-wave K π resonant in the three-body decays B/B 0 s → K K π , where the Gegenbauer moments they used are same as ones of DAs of K * 0 (1430) [127]. In fact, the Gegenbauer moments B 1 and B 3 for the two-meson DAs need not to be identical to that for K * 0 (1430), because they are different nonperturbative quantities describing different objects.…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
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“…Gegenbauer moments B 1 = −0.57 ± 0.13 and B 3 = −0.42 ± 0.22 at the 1 GeV scale from scenario I in the QCD sum rule analysis [96,97], which have been widely employed in the PQCD studies of the B → K * 0 (1430) transitions [98][99][100]. Another possible choice of the Gegenbauer moments as those for the κ(800) meson DA does not work well for accommodating experimental data.…”
Section: Jhep05(2021)082mentioning
confidence: 99%
“…This proposal provides a theoretical framework for studies of resonant contributions based on the quasi-two-bodydecay mechanism. Several theoretical approaches have been developed for describing the three-body hadronic decays of B mesons based on the symmetry principles [71][72][73][74][75][76], the QCDF [77][78][79][80][81][82][83][84][85][86][87] and the PQCD approaches [88][89][90][91][92][93][94][95][96][97][98][99][100][101][102]. Recently, the localized C P violation and branching fraction of the four-body decayB 0 → K − π + π + π − have been calculated by employing a quasi-two-body QCDF approach in Refs.…”
Section: Introductionmentioning
confidence: 99%