$$\pi \pi \rightarrow K {\bar{K}}$$ π π → K K ¯ scattering up to 1.47 GeV with hyperbolic dispersion relations

Peláez, J. R.; Rodas, A.

doi:10.1140/epjc/s10052-018-6296-9

Cited by 62 publications

(68 citation statements)

References 68 publications

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“…Then HDR couple F + with G 0 and F − with G 1 . For brevity we do not provide the integral expressions since they can be found in [1] explained in full detail. It is also worth noticing that in order to ensure the convergence of the integrals we have to make one subtraction to the F + dispersion relations, which therefore depends on a subtraction constant that basically corresponds to the a + 0 scattering length of πK scattering.…”

Section: Partial-wave Hyperbolic Dispersion Relationsmentioning

confidence: 99%

“…where g I (t) and f I (t) are the partial waves of ππ → KK and πK → πK, respectively. In addition the G I,± , are integral kernels that contain factors from kinematics, crossing, Legendre polynomials, subtractions, etc... whose expressions can be found in [1]. Note they carry a dependence in a that we will use to maximize the applicability region.…”

Section: Partial-wave Hyperbolic Dispersion Relationsmentioning

confidence: 99%

“…In this contribution we will briefly review our recent results [1] on a dispersive analysis of ππ → KK scattering data. This is relevant by itself, as it yields an important contribution to rescattering effects in many hadronic processes, but also because, being the crossed channel of πK scattering, it becomes a relevant input in the most rigorous dispersive determinations of πK scattering amplitudes [2,3] and the controversial κ/K * 0 (700) resonance.…”

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confidence: 99%

See 2 more Smart Citations

Dispersive study of $\pi\pi \rightarrow K \bar K$ scattering data up to 1.47 GeV.

Sagredo¹,

Rodas²

2020

Proceedings of the 9th International Workshop on Chiral Dynamics — PoS(CD2018)

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Section: Partial-wave Hyperbolic Dispersion Relationsmentioning

confidence: 99%

Section: Partial-wave Hyperbolic Dispersion Relationsmentioning

confidence: 99%

mentioning

confidence: 99%

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Dispersive study of $\pi\pi \rightarrow K \bar K$ scattering data up to 1.47 GeV.

Sagredo¹,

Rodas²

2020

Proceedings of the 9th International Workshop on Chiral Dynamics — PoS(CD2018)

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“…The ππ scattering phase shift δ and inelasticity η as well as the ππ → KK scattering phase ψ and modulus g were subject to many rigorous dispersive studies [4][5][6][7][8][9] and thus serve as possible input for our parametrization. In this work we explicitly used the coupled channel results of Ref.…”

Section: Formalismmentioning

confidence: 99%

“…Since it is model independent it can even be applied to the decays of heavy mesons into pions and kaons [1][2][3]. Not only does it ensure analyticity and unitarity, but it is also consistent by construction with the high-precision analyses using Roy-and Roy-like equations [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 97%

Scalar isoscalar form factors for energies above 1 GeV

Ropertz¹,

Hanhart

Kubis³

2019

EPJ Web Conf.

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We present a new parametrization for scattering amplitudes and form factors, which is consistent with high-accuracy dispersive representations at low energies but at the same time allows for a data description of higher mass resonances such as the f0(1500) and f0(2020). The formalism is general and thus can be applied to many decay processes. As an example we discuss the decay of $ \bar {B}_s^0 $ → J/ψππ(KK). From the amplitude fixed in a fit to the experimental data pole positions and residues are extracted via Padé approximants.

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The ρ(770, 1450) → ωπ contributions for three-body decays $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$

Ren,

Ma,

Wang

2024

J. High Energ. Phys.

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The decays $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$ B → D ¯ ∗ ωπ are very important for the investigation of ρ excitations and the test of factorization hypothesis for B meson decays. The $$ {B}^{+}\to {\overline{D}}^{\left(\ast \right)0}\omega {\pi}^{+} $$ B + → D ¯ ∗ 0 ω π + and B0 → D(*)−ωπ+ have been measured by different collaborations but without any predictions for their observables on theoretical side. In this work, we study the contributions of ρ(770, 1450) → ωπ for the cascade decays $$ {B}^{+}\to {\overline{D}}^{\left(\ast \right)0}{\rho}^{+}\to {\overline{D}}^{\left(\ast \right)0}\omega {\pi}^{+} $$ B + → D ¯ ∗ 0 ρ + → D ¯ ∗ 0 ω π + , B0 → D(*)−ρ+ → D(*)−ωπ+ and $$ {B}_s^0\to {D}_s^{\left(\ast \right)-}{\rho}^{+}\to {D}^{\left(\ast \right)-}\omega {\pi}^{+} $$ B s 0 → D s ∗ − ρ + → D ∗ − ω π + . We introduce ρ(770, 1450) → ωπ subprocesses into the distribution amplitudes for ωπ system via the vector form factor Fωπ(s) and then predict the branching fractions for the first time for concerned quasi-two-body decays with ρ(770, 1450) → ωπ, as well as the corresponding longitudinal polarization fractions ΓL/Γ for the cases with the vector $$ {\overline{D}}^{\ast 0} $$ D ¯ ∗ 0 or $$ {D}_{(s)}^{\ast -} $$ D s ∗ − in their final states. The branching fractions of these quasi-two-body decays are predicted at the order of 10−3, which can be detected at the LHCb and Belle-II experiments. The predictions for the decays B0 → D*−ρ(770)+ → D*−ωπ+ and B0 → D*−ρ(1450)+ → D*−ωπ+ agree well with the measurements from Belle Collaboration. In order to avoid the pollution from annihilation Feynman diagrams, we recommend to take the $$ {B}_s^0\to {D}_s^{\ast -}\rho {\left(770,1450\right)}^{+} $$ B s 0 → D s ∗ − ρ 770 1450 + decays, which have only emission diagrams at quark level, to test the factorization hypothesis for B decays.

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$$\pi \pi \rightarrow K {\bar{K}}$$ π π → K K ¯ scattering up to 1.47 GeV with hyperbolic dispersion relations

Cited by 62 publications

References 68 publications

Dispersive study of $\pi\pi \rightarrow K \bar K$ scattering data up to 1.47 GeV.

Dispersive study of $\pi\pi \rightarrow K \bar K$ scattering data up to 1.47 GeV.

Scalar isoscalar form factors for energies above 1 GeV

The ρ(770, 1450) → ωπ contributions for three-body decays $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$

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