Axial anomaly and vector meson dominance model

Klopot, Yaroslav; Oganesian, A. G.; Teryaev, Oleg

doi:10.1134/s002136401412008x

Cited by 20 publications

(25 citation statements)

References 78 publications

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“…While for vector and tensor form factors we foresee good performance of our PA method, for a scalar form factor with an abrupt threshold offset, the range of applicability within the time-like region will be more limited. Parameterizations existent in literature which would be suitable to be compared our method with can be found in [26,27,[29][30][31][32][33][34][35][36][37][38].…”

Section: Padé Approximants In the Time-like Regionmentioning

confidence: 99%

η′transition form factor from space- and timelike experimental data

Escribano¹,

Gonzàlez-Solís²,

Masjuan³

et al. 2016

Phys. Rev. D

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The η transition form factor is reanalyzed in view of the recent BESIII first observation of the Dalitz decay η → γe + e − in both space-and time-like regions at low and intermediate energies using the Padé approximants method. The present analysis provides a suitable parameterization for reproducing the measured form factor in the whole energy region and allows to extract the corresponding low-energy parameters together with a prediction of its values at the origin, related to Γ η →γγ , and the asymptotic limit. The η-η mixing is reassessed within a mixing scheme compatible with the large-N c chiral perturbation theory at next-to-leading order, with particular attention to the OZI-rule-violating parameters. The J/ψ, Z → η ( ) γ decays are also considered and predictions reported.

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Section: Padé Approximants In the Time-like Regionmentioning

confidence: 99%

η′transition form factor from space- and timelike experimental data

Escribano¹,

Gonzàlez-Solís²,

Masjuan³

et al. 2016

Phys. Rev. D

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“…An improved value of BR(η/η → γγ) or constructing a different ratio, as we do below, can allow sensitivity to these corrections. Results for the form factors F η/η γ * γ * (Q 2 ) can be broadly classified into three groups: theoretical predictions [53][54][55][56], experimental extractions [57][58][59][61][62][63], and dispersion analyses [64][65][66][67]. The standard parameterization for f (z) is a series expansion in z…”

mentioning

confidence: 99%

Scouring meson decays for true muonium

Lamm

2019

Phys. Rev. D

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Rare meson decay experiments promise to measure branching ratios as small as 10 −13 . This presents an opportunity to discover the µ + µ − bound state true muonium. We consider a set of possible channels, all with branching ratios above ∼ 10 −11 . For the electromagnetic decays η/η → (µ + µ − )γ, theoretical and phenomenological form factors F η/η γγ * (Q 2 ) allow predictions of BR(η → (µ + µ − )γ) ∼ 4.8 × 10 −10 and BR(η → (µ + µ − )γ) ∼ 3.7 × 10 −11 at the 5% level. Discussion of experimental prospects and potential backgrounds are made.

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“…The Feynman diagram is shown on the Fig.1. The expression for the pion TFF was obtained in approach based on the dispersive representation of the axial anomaly in the works [13], [15]. Here we briefly recall the main steps of the method.…”

Section: Total Cross Section Calculationmentioning

confidence: 99%

“…(3) was obtained for the space-like photon (q 2 < 0). Later in the paper [15] analytical continuation to the time-like region was developed. Supposing that A 3 decreases fast enough at |q 2 | → ∞ and is analytical everywhere except the cut q 2 ∈ (0, +∞), it was found…”

Section: Total Cross Section Calculationmentioning

confidence: 99%

“…In the paper [13] the pion TFF was obtained in the whole space-like region Q 2 > 0. Later it was analytically continued to the time-like region [15]. As soon as this method is based on the exact relation, implied by the axial anomaly it provides very powerful tool to study pion (and other pseudoscalar mesons) TFFs both in space-like and time-like regions.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of the e + e − → π0γ process using Anomaly Sum Rules approach

2016

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The process e + e − → γ * → π 0 γ was considered using time-like pion transition form factor, obtained in the approach of the Anomaly Sum Rules(ASR). The total cross section and angular distribution of the process was calculated. As the result of the comparison with the data it was shown that ASR approach provides their good description in the regions far from the pole. Also there was proposed a method allowing to give reasonable description of data in the region of pole within the ASR approach. The strong restrictions for the parameters of the modified ASR approach were obtained.

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Axial anomaly and vector meson dominance model

Cited by 20 publications

References 78 publications

η′transition form factor from space- and timelike experimental data

η′transition form factor from space- and timelike experimental data

Scouring meson decays for true muonium

Analysis of the e + e − → π0γ process using Anomaly Sum Rules approach

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