S-wave contributions in $\bar B_s^0\to (D^0,\bar D^0)π^+π^- $ within perturbative QCD approach

Xing, Ye; Xing, Zhi-Peng

doi:10.48550/arxiv.1903.04255

Cited by 6 publications

(7 citation statements)

References 35 publications

(39 reference statements)

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“…We first discuss the S-wave two-meson wave function of the K K-pair [63], whose form is the same as the ππ pair and can be written as [46,67]:…”

Section: Frameworkmentioning

confidence: 99%

Resonant Contributions to Three-body $B\to KKK$ Decays in Perturbative QCD Approach

Zou,

Li,

et al. 2020

Preprint

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In this work, we study the (S, P and D)-wave K + K − contributions to B → KKK decays in the perturbative QCD approach at leading order. Within the two-meson wave functions describing the nonperturbative dynamics in the kaon-pair for different waves, we calculate the branching fractions and the direct CP asymmetries of these decay modes in the corresponding resonance regions. Most of our numerical results are well consistent with the current measurements. We note that the narrow-width approximation is invalid in the quasi-two-body decays B → Kf 0 (980) → KKK. For other decays, under the narrow-width approximation we can extract the branching fractions of the corresponding two-body decays involving the intermediate resonant states, and the related branching fractions agree with the current experimental data well. Furthermore, we also predict the corresponding quasi-two-body decays B → Kπ + π − , which are expected to be measured in the ongoing LHCb and Belle-II experiments.

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“…We first discuss the S-wave two-meson wave function of the K K-pair [63], whose form is the same as the ππ pair and can be written as [46,67]:…”

Section: Frameworkmentioning

confidence: 99%

Resonant Contributions to Three-body $B\to KKK$ Decays in Perturbative QCD Approach

Zou,

Li,

et al. 2020

Preprint

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“…Since the perturbative QCD (PQCD) framework for three-body B meson decays was proposed in [1], there have been extensive applications to various channels [2][3][4][5][6][7][8][9][10][11][12][13][14][15], and rich phenomenology has been explored. This formalism is based on the k T factorization theorem for leading-power regions of a Dalitz plot, where two final-state hadrons are roughly collimated to each other.…”

Section: Introductionmentioning

confidence: 99%

Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach

Li,

Yan,

Hua

et al. 2021

Preprint

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We perform a global analysis of three-body charmless hadronic decays B → V P3 → P1P2P3 in the perturbative QCD (PQCD) approach, where V denotes an intermediate vector resonance, and Pi, i = 1, 2, 3, denote final-state pseudoscalar mesons. Fitting the PQCD factorization formulas at leading order in the strong coupling αs to measured branching ratios and direct CP asymmetries, we determine the Gegenbauer moments in two-meson distribution amplitudes (DAs) for the meson pairs P1P2 = ππ, Kπ, KK. The fitted Gegenbauer moments are then employed to make predictions for those obervables, whose data are excluded in the fit due to larger experimental uncertainties. A general consistency between our predictions and data is achieved, which hints the validity of the PQCD formalism for the above three-body B meson decays and the universality of the nonperturbative two-meson DAs. The obtained two-meson DAs can be applied to PQCD studies of other multibody B meson decays involving the same meson pairs. We also attempt to determine the dependence of the Gegenbauer moments on the meson-pair invariant mass, and demonstrate that this determination is promising, when data become more precise.

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“…For the B meson and the light vector mesons, their wave functions have been studied extensively and the inner parameters have been fixed by the well measured two-body B meson decays [27,28], so we will not discuss them in this work. For the ππ-pair, its S -wave wave function can be written as [29][30][31][32][33]…”

Section: Frameworkmentioning

confidence: 99%

Quasi-two-body $B_{(s)}\to V ππ$ Decays with Resonance $f_0(980)$ in PQCD Approach

Yang,

Zou,

et al. 2021

Preprint

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Motivated by the measurements of branching fractions of the quasi-two-body decays B 0 → K * 0 ( f 0 (980) →)π + π − and B 0 → ρ 0 ( f 0 (980) →)π + π − , we study the charmless B → V( f 0 (980) → )π + π − decays in the perturbative QCD approach. Supposing that f 0 (980) is a two-quark state and mixture of nn = (u ū + d d)/ √ 2 and s s with the mixing angle θ, we calculate the branching fractions of these decays with the new introduced s-wave π + π − -pair wave function. When the mixing angle θ lies in the range [135 • , 155 • ], the calculated branching fractions of the B 0 → K * 0 f 0 (980) → K * 0 π + π − and B 0 → ρ 0 f 0 (980) → ρ 0 π + π − decays are in agreement with the experimental data. The branching fractions of other decays could be measured in the current LHCb and Belle II experiments. Considering the isospin symmetry, we also estimate the branching fractions of the quasitwo-body decays B → V f 0 (980) → Vπ 0 π 0 , which are half of those the corresponding decays B → V f 0 (980) → Vπ + π − . Moreover, the direct CP asymmetries of these decays are also calculated, and some of them can be tested in the current experiments.

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S-wave contributions in $\bar B_s^0\to (D^0,\bar D^0)π^+π^- $ within perturbative QCD approach

Cited by 6 publications

References 35 publications

Resonant Contributions to Three-body $B\to KKK$ Decays in Perturbative QCD Approach

Resonant Contributions to Three-body $B\to KKK$ Decays in Perturbative QCD Approach

Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach

Quasi-two-body $B_{(s)}\to V ππ$ Decays with Resonance $f_0(980)$ in PQCD Approach

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