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Danilkin, Igor; Fernández-Ramírez, C.; Guo, Peng; Mathieu, V.; Schott, D.; Shi, M.; Szczepaniak, Adam P.

doi:10.1103/physrevd.91.094029

Cited by 111 publications

(166 citation statements)

References 73 publications

(71 reference statements)

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“…The strategies to solve Equation (9) are detailed in the Ref. [12]. We found that the 3-body effects, the second term in Equation (9), are negligible.…”

Section: -3 ω φ → 3πmentioning

confidence: 99%

“…We continued our analysis of three pions from ω and φ decays in Ref. [12]. In this case the spin of the vector meson is factorized using the Lorentz and isospin decomposition…”

Section: -3 ω φ → 3πmentioning

confidence: 99%

“…After two years of activities, several papers were published by the JPAC collaboration and its members. The topics covered include the photoproduction of one [4] or two mesons [5] at high energies, elastic scattering with pion [6] and kaon [7,8] and the three-body decays of heavy [9,10] and light [11,12] mesons. Many projects have led to deliverables (such as codes) and a platform, an interactive webpage [13], was created to exchange material within the community.…”

Section: Introductionmentioning

confidence: 99%

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Mathieu

2016

AIP Conference Proceedings

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“…The strategies to solve Equation (9) are detailed in the Ref. [12]. We found that the 3-body effects, the second term in Equation (9), are negligible.…”

Section: -3 ω φ → 3πmentioning

confidence: 99%

“…We continued our analysis of three pions from ω and φ decays in Ref. [12]. In this case the spin of the vector meson is factorized using the Lorentz and isospin decomposition…”

Section: -3 ω φ → 3πmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mathieu

2016

AIP Conference Proceedings

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“…2(c), such that a vector-meson-dominance (VMD) approximation is justified here to a large extent. In the context of the π 0 , the corresponding ω → π 0 γ * and φ → π 0 γ * transition form factors have hence been treated dispersively [15][16][17] (see Ref. [18] for an extension even to the J/ψ → π 0 γ * transition), while a pure VMD description for F ss (q 2 1 , q 2 2 ) was so far deemed sufficient for the η (′) transition form factors.…”

Section: Definition Intermediate Statesmentioning

confidence: 99%

Towards a dispersive determination of the η and η′ transition form factors

Kubis¹

2018

EPJ Web Conf.

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Abstract.We discuss status and prospects of a dispersive analysis of the η and η ′ transition form factors. Particular focus is put on the various pieces of experimental information that serve as input to such a calculation. These can help improve on the precision of an evaluation of the η and η ′ pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon. Hadronic light-by-light scattering and the anomalous magnetic moment of the muonThere is a by now long-standing discrepancy between the experimental determination of the anomalous magnetic moment of the muon as measured by the BNL E821 experiment [1], and its calculation within the Standard Model [2], with both experiment and theory affected by a comparable uncertainty. With two different proposals to further improve on the accuracy of the measurement well under way [3,4], it is of utmost importance to also improve the accuracy of the theoretical Standard-Model prediction before a persistent discrepancy of potentially increased significance can be interpreted in terms of physics beyond the Standard Model. The Standard-Model uncertainty is entirely dominated by hadronic contributions. While the dominant hadronic vacuum polarization can be expressed, via a dispersion relation, in terms of measurable e + e − → hadrons total cross sections, which therefore can be further improved upon by a strong experimental effort to determine many of the exclusive channels contributing therein with yet improved precision [5], the situation for the α QED -suppressed hadronic light-by-light scattering is less straightforward, relying until recently to a much larger extent on modeling [6], with badly controlled errors.This presentation is part of an effort to analyze also the hadronic light-by-light scattering tensor using dispersion theory [7,8]. Dispersion theory makes maximal use of analyticity and unitarity, two fundamental consequences of relativistic quantum field theories that mathematically incorporate the principles of causality and probability conservation. The various (in principle infinitely many different) contributions to hadronic light-by-light scattering are organized in terms of their analytic structure, according to the cuts and poles in the different energy variables that are dictated by the above principles. This has the advantage that all contributions will be given in terms of on-shell form factors and scattering amplitudes, hence observables that can to a large extent again be related to experimentally accessible quantities [9]. An ordering principle will be to consider intermediate

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“…Recent dispersive treatments [5,6] of the ωπ electromagnetic form factor f ωπ (t) are in disagreement with experimental data in the region around 0.6 GeV [7,8,9], which show strong deviations from even approximate vector-meson-dominance behavior [10]. The main ingredient in the dispersion relation is unitarity, which allows one to express the discontinuity of the form factor in terms of the P partial wave of the process ππ → ωπ [11,6] and the pion electromagnetic form factor, quantities determined with precision.…”

Section: Introductionmentioning

confidence: 99%

Constraints on the omega-pi form factor from analyticity and unitarity

Ananthanarayan¹,

Caprini²,

Kubis³

2016

Proceedings of the 8th International Workshop on Chiral Dynamics — PoS(CD15)

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Abstract. Motivated by the discrepancies noted recently between the theoretical calculations of the electromagnetic ωπ form factor and certain experimental data, we investigate this form factor using analyticity and unitarity in a framework known as the method of unitarity bounds. We use a QCD correlator computed on the spacelike axis by operator product expansion and perturbative QCD as input, and exploit unitarity and the positivity of its spectral function, including the two-pion contribution that can be reliably calculated using high-precision data on the pion form factor. From this information, we derive upper and lower bounds on the modulus of the ωπ form factor in the elastic region. The results provide a significant check on those obtained with standard dispersion relations, confirming the existence of a disagreement with experimental data in the region around 0.6 GeV.

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Dispersive analysis ofω/ϕ→3π,πγ*

Cited by 111 publications

References 73 publications

The Joint Physics Analysis Center website

The Joint Physics Analysis Center website

Towards a dispersive determination of the η and η′ transition form factors

Constraints on the omega-pi form factor from analyticity and unitarity

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