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Dedonder, J.-P.; Furman, A.; Kamiński, R.; Leśniak, L.; Loiseau, B.

doi:10.5506/aphyspolb.42.2013

Cited by 54 publications

(50 citation statements)

References 36 publications

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“…[27] (see, in particular, Appendix A of Ref. [27] and Sec. II C of this paper where an analogous explicit derivation for the annihilation amplitudes is presented).…”

Section: A Cabibbo Favored Amplitudesmentioning

confidence: 99%

“…(6) we build now the expression of the different CF amplitudes following a derivation similar to that described in details in Ref. [27] (see, in particular, Appendix A of Ref. [27] and Sec.…”

Section: A Cabibbo Favored Amplitudesmentioning

confidence: 99%

“…[25] for the Kπ case and in Ref. [27] for the pion one. They are single unitary functions describing the two scalar resonances K * 0 (800) (or κ), K * 0 (1430) and the three scalar resonances, f 0 (500), f 0 (980) and f 0 (1400) present in the K 0 S π ± and π + π − interactions, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…In the framework of the quasi two-body factorization approximation [13] and of the extension of a program devoted to the understanding of rare three-body B decays [23][24][25][26][27] we analyze the presently available D 0 → K 0 S π + π − data. So far no factorization scheme has been worked out for three-body decays.…”

Section: Introductionmentioning

confidence: 99%

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Dalitz plot studies ofD0→KS0π+

et al. 2014

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The presently available high-statistics data of the D 0 → K 0 S π + π − processes measured by the Belle and BABAR Collaborations are analyzed within a quasi two-body factorization framework. Starting from the weak effective Hamiltonian, tree and annihilation amplitudes build up the D 0 → K 0 S π + π − decay amplitude. Two of the three final-state mesons are assumed to form a single scalar, vector or tensor state originating from a quark-antiquark pair so that the factorization hypothesis can be applied. The meson-meson final state interactions are described by Kπ and ππ scalar and vector form factors for the S and P waves and by relativistic Breit-Wigner formulae for the D waves. A combined χ 2 fit to a Belle Dalitz plot density distribution, to the total experimental branching fraction and to the τ − → K 0 S π − ντ decay data is carried out to fix the 33 free parameters. These are mainly related to the strengths of the scalar form factors and to unknown meson to meson transition form factors at a large momentum transfer squared equal to the D 0 mass squared. A good overall agreement to the Belle Dalitz plot density distribution is achieved. Another set of parameters fits equally well the BABAR Collaboration Dalitz plot model. The parameters of both fits are close, following from similar Dalitz density distribution data for both collaborations. The corresponding one-dimensional effective mass distributions display the contributions of the ten quasi two-body channels entering our D 0 → K 0 S π + π − decay amplitude. The branching fractions of the dominant channels compare well with those of the isobar Belle or BABAR models. The lower-limit values of the branching fractions of the annihilation amplitudes are significant. Built upon experimental data from other processes, the unitary Kπ and ππ scalar form factors, entering our decay amplitude and satisfying analyticity and chiral symmetry constraints, are furthermore constrained by the present Dalitz plot analysis. Our D 0 → K 0 S π + π − decay amplitude could be a useful input for determinations of D 0 -D 0 mixing parameters and of the CKM angle γ (or φ3).

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“…[27] (see, in particular, Appendix A of Ref. [27] and Sec. II C of this paper where an analogous explicit derivation for the annihilation amplitudes is presented).…”

Section: A Cabibbo Favored Amplitudesmentioning

confidence: 99%

Section: A Cabibbo Favored Amplitudesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dalitz plot studies ofD0→KS0π+

et al. 2014

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“…Its functional form is taken from our B ± → π ± π ∓ π ± decay study [6]. It preserves unitarity and groups together three scalar-isoscalar resonances f 0 (500), f 0 (980) and f 0 (1400).…”

Section: Transition Matrix Elementsmentioning

confidence: 99%

Dalitz plot studies ofD⁰→K_S⁰π⁺π⁻decays

Leśniak

Kamiński

Furman³

et al. 2012

EPJ Web of Conferences

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Abstract. The availaible data on the D 0 → K 0 S π + π − decays are analysed in the framework of the quasi two-body QCD factorization approximation. The annihilation, via Wexchange, amplitudes are added to the weak-decay tree amplitudes. The doubly Cabibbo suppressed parts of the amplitudes are also considered. The strong interactions between the kaon-pion and pion-pion pairs in the S -, P-and D-final states are described in terms of the corresponding form factors. The kaon-pion or pion-pion scalar and vector form factors are constrained by other experimental data. Unitarity, analyticity and chiral symmetry are also used to obtain their functional forms. We go through a minimization procedure to reproduce the K 0 S π − , K 0 S π + and π + π − effective mass projections of the Dalitz plot distributions. The large number (27) of non-zero amplitudes leads to a large number of parameters. The resulting model distributions and branching fractions are compared to the accurate Belle Collaboration data.

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