How to employ 


                                    


B
¯

d
0

→
J
/
ψ


π
η
,

K
¯

K




$$ {\overline{B}}_d^0\to J/\psi \left(\uppi \eta, \overline{K}K\right) $$
 decays to extract information on πη scattering

By solving the Muskhelishvili-Omnès integral equations, the scalar form factors of the semileptonic heavy meson decays D → π¯ ν , D →K¯ ν ,B → π ν andBs → K ν are simultaneously studied. As input, we employ unitarized heavy meson-Goldstone boson chiral coupled-channel amplitudes for the energy regions not far from thresholds, while, at high energies, adequate asymptotic conditions are imposed. The scalar form factors are expressed in terms of Omnès matrices multiplied by vector polynomials, which contain some undetermined dispersive subtraction constants. We make use of heavy quark and chiral symmetries to constrain these constants, which are fitted to lattice QCD results both in the charm and the bottom sectors, and in this latter sector to the light-cone sum rule predictions close to q 2 = 0 as well. We find a good simultaneous description of the scalar form factors for the four semileptonic decay reactions. From this combined fit, and taking advantage that scalar and vector form factors are equal at q 2 = 0, we obtain |V cd | = 0.244±0.022, |Vcs| = 0.945±0.041 and |V ub | = (4.3 ± 0.7) × 10 −3 for the involved Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. In addition, we predict the following vector form factors at q 2 = 0: |f D→η + (0)| = 0.01 ± 0.05, |f Ds→K + (0)| = 0.50±0.08, |f Ds→η + (0)| = 0.73±0.03 and |fB →η + (0)| = 0.82±0.08, which might serve as alternatives to determine the CKM elements when experimental measurements of the corresponding differential decay rates become available. Finally, we predict the different form factors above the q 2 −regions accessible in the semileptonic decays, up to moderate energies amenable to be described using the unitarized coupled-channel chiral approach. CONTENTS

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“…Thus, T H is constructed from Eq. (27) using the following parameterizations for phase shifts and inelasticities: (29) as suggested in Ref. [71].…”

Section: Inputs and Mo Solutionsmentioning

confidence: 99%

Heavy-to-light scalar form factors from Muskhelishvili–Omnès dispersion relations

et al. 2018

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“…Some analyses of multi-body heavy meson decays can be found in Refs. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], where the final state interactions between the light pseudoscalar mesons are taken into account.…”

Section: Introductionmentioning

confidence: 99%

Chiral dynamics, S-wave contributions and angular analysis in $$D\rightarrow \pi \pi \ell \bar{\nu }$$ D → π π ℓ ν ¯

2017

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We present a theoretical analysis of the D − → π + π − ν andD 0 → π + π 0 ν decays. We construct a general angular distribution which can include arbitrary partial waves of ππ. Retaining the S-wave and P-wave contributions we study the branching ratios, forward-backward asymmetries and a few other observables. The P-wave contribution is dominated by ρ 0 resonance, and the S-wave contribution is analyzed using the unitarized chiral perturbation theory. The obtained branching fraction for D → ρ ν, at the order 10 −3 , is consistent with the available experimental data. The S-wave contribution has a branching ratio at the order of 10 −4 , and this prediction can be tested by experiments like BESIII and LHCb. Future measurements can also be used to examine the π -π scattering phase shift.

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“…In Ref. [26], the authors extract information on πη scattering through the B 0 → J=ψðπη; KKÞ decays by the dispersion theory. The dimeson scalar form factors are introduced to describe the S-wave decay amplitude for the considered processes.…”

Section: Introductionmentioning

confidence: 99%

Isovector scalar a0(980) and a0(1450) resonances in the

Rui

Zhang

2019

Phys. Rev. D

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We present an analysis of two isovector scalar resonant contributions to the B decays into charmonia plus KK or πη pair in the perturbative QCD approach. The Flatté model for the a 0 ð980Þ resonance and the Breit Wigner formula for the a 0 ð1450Þ resonance are adopted to parametrize the timelike form factors in the dimeson distribution amplitudes, which capture the important final state interactions in these processes. The predicted distribution in the K þ K − invariant mass as well as its integrated branching ratio for the a 0 ð980Þ resonance in the B 0 → J=ψK þ K − mode agree well with the current available experimental data. The obtained branching ratio of the quasi-two-body decay B 0 → J=ψa 0 ð980Þð→π 0 ηÞ can reach the order of 10 −6 , letting the corresponding measurement appear feasible. For the a 0 ð1450Þ component, our results could be tested by further experiments in the LHCb and Belle II. We also discuss some theoretical uncertainties in detail in our calculation.

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How to employ B ¯ d 0 → J / ψ π η , K ¯ K $$ {\overline{B}}_d^0\to J/\psi \left(\uppi \eta, \overline{K}K\right) $$ decays to extract information on πη scattering

Cited by 17 publications

References 42 publications

Heavy-to-light scalar form factors from Muskhelishvili–Omnès dispersion relations

Heavy-to-light scalar form factors from Muskhelishvili–Omnès dispersion relations

Chiral dynamics, S-wave contributions and angular analysis in $$D\rightarrow \pi \pi \ell \bar{\nu }$$ D → π π ℓ ν ¯

Isovector scalar a0(980) and a0(1450) resonances in the

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