The mass and width differences of the neutral and charged ρ(770), ρ(1450) and ρ(1700) mesons from e+e−→ π+π− and τ−→ ντπ−π0 processes

Bartoš, Erik; Dubnička, S.; Dubničková, A. Z.; Hayashii, H.

doi:10.1142/s0217751x17501548

Cited by 5 publications

(4 citation statements)

References 30 publications

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“…On the other hand, as seen from the results quoted in the table, the values for the ρ(1700) width show some scatter. Our value is found to be 250-300 MeV higher than the Belle value and than the findings of [7], ∼200 MeV higher than the PDG value Γ PDG ρ = 250 ± 100 MeV, in line with [51] and ∼150 MeV lower than [8]. Due to the large uncertainties associated to the ρ(1450) and ρ(1700) resonances parameters, however, we cannot draw any more definite conclusion.…”

Section: Dispersive Representationcontrasting

confidence: 76%

A dispersive analysis of the pion vector form factor and $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ decay

Gonzàlez-Solís

Roig

2019

Eur. Phys. J. C

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We explore the potential of a combined analysis of the decays τ − → π − π 0 ν τ and τ − → K − K S ν τ in the determination of the ρ(1450) and ρ(1700) resonance properties in the frame of resonance Chiral Theory supplemented by dispersion relations. On the one hand, we take advantage of the very precise data on the modulus squared of the pion vector form factor |F π V | 2 obtained by Belle to carry out a very dedicated analysis of the region where these resonances come up into play. Our study provides an improved treatment of the systematic theoretical errors and, as a most important result, we conclude that they dominate over the fit uncertainties in the determination of the ρ(1450) and ρ(1700) pole parameters and tend to be larger than in other determinations quoted in the literature where these errors were ignored or underestimated. The results of our analysis are summarized in numerical tables for the form factor modulus and phase, including both statistical and systematic errors, that can be found as ancillary material of this paper. As a byproduct, we also determine the low-energy observables of the pion vector form factor and the ρ-pole position. On the other hand, we benefit from the recent experimental data for the transition τ − → K − K S ν τ released by BaBar to perform a first analysis of its decay spectrum and discuss the role of these resonances in this decay. We point out that higherquality data on the K − K S decay channel will allow compete with the |F π V | 2 ones and improve the determination of the ρ(1450) and ρ(1700) resonance parameters as a result of a combined analysis. We hope our study to be of interest for present and future experimental analysis of these decays.

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Section: Dispersive Representationcontrasting

confidence: 76%

A dispersive analysis of the pion vector form factor and $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ decay

Gonzàlez-Solís

Roig

2019

Eur. Phys. J. C

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“…The process τ → ππν τ is the most probable decay mode of the τ lepton. In many theoretical works, the agreement with the experiment is achieved by the phenomenological parameterization of the pion form factor and by fitting the results with experimental data [65][66][67][68].…”

Section: The Decaysmentioning

confidence: 99%

Low-Energy Interactions of Mesons with Participation of the First Radially Excited States in U(3) × U(3) NJL Model

2022

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The U(3)×U(3) chiral symmetric NJL model describing pseudoscalar, vector, and axial-vector mesons in both the ground state and first radially excited states is shortly presented in this review. In this model, it is possible to describe a large number of low-energy interactions of mesons, τ lepton decays into mesons, and processes of meson production in electron–positron annihilations in satisfactory agreement with the experiments. In describing a number of processes, it turned out to be necessary to take into account the interactions of mesons in the final state.

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“…The process τ → ππν τ is the most probable decay mode of the τ lepton. In many theoretical works, the agreement with experiment is achieved by the phenomenological parameterization of the pion form factor and by fitting the results with experimental data [70][71][72][73].…”

Section: Decaymentioning

confidence: 96%

Low-energy interactions of mesons with participation of the first radially excited states in $U(3) \times U(3)$ NJL model

K.¹,

Pivovarov²,

Nurlan³

2022

Preprint

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The U (3) × U (3) chiral symmetric NJL model describing pseudoscalar, vector, and axial vector mesons in both the ground state and first radially excited states is shortly presented in this review. In this model, it is possible to describe a large number of low-energy interactions of mesons, τ lepton decays into mesons and processes of meson production in electron-positron annihilations in satisfactory agreement with the experiments. In describing a number of processes, it turned out to be necessary to take into account the interactions of mesons in the final state.

show abstract

The mass and width differences of the neutral and charged ρ(770), ρ(1450) and ρ(1700) mesons from e+e−→ π+π− and τ−→ ντπ−π0 processes

Cited by 5 publications

References 30 publications

A dispersive analysis of the pion vector form factor and $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ decay

A dispersive analysis of the pion vector form factor and $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ decay

Low-Energy Interactions of Mesons with Participation of the First Radially Excited States in U(3) × U(3) NJL Model

Low-energy interactions of mesons with participation of the first radially excited states in $U(3) \times U(3)$ NJL model

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