Cross section of the reaction e+e−→π+π−π0 for C.M. energies from 750 to 1100 MeV

Cordier, A.; Delcourt, B.; Eschstruth, P.; Fulda, F.; Grosdidier, G.; Jeanjean, J.; Jeanjean, M.; Madaras, R. J.; Masnou, J. L.; Jorba, Jordi; Quenzer, A.; Ribes, M.; Rumpf, F.; Bertrand, J.L.; Bizot, J.C.

doi:10.1016/0550-3213(80)90157-1

Cited by 50 publications

(21 citation statements)

References 9 publications

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“…Since there are now several experiments covering the same energy region, this is an indication of the degree of consistency among the various data sets. To account for these [76], and ND [78].…”

Section: Combined Fitsmentioning

confidence: 99%

“…Instead, the low-energy region including the ω and φ resonances has been most precisely measured by the Novosibirsk experiments SND [69][70][71][72] and CMD-2 [63,[73][74][75]. For completeness, we will also consider earlier data from DM1 [76], DM2 [77], and ND [78]. The main part of the paper is then devoted to the fit systematics to the various data sets, as detailed in Sect.…”

Section: Introductionmentioning

confidence: 99%

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Three-pion contribution to hadronic vacuum polarization

Hoferichter

Hoid

Kubis

2019

J. High Energ. Phys.

372

220

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We address the contribution of the 3π channel to hadronic vacuum polarization (HVP) using a dispersive representation of the e + e − → 3π amplitude. This channel gives the second-largest individual contribution to the total HVP integral in the anomalous magnetic moment of the muon (g − 2) µ , both to its absolute value and uncertainty. It is largely dominated by the narrow resonances ω and φ, but not to the extent that the off-peak regions were negligible, so that at the level of accuracy relevant for (g − 2) µ an analysis of the available data as model independent as possible becomes critical. Here, we provide such an analysis based on a global fit function using analyticity and unitarity of the underlying γ * → 3π amplitude and its normalization from a chiral low-energy theorem, which, in particular, allows us to check the internal consistency of the various e + e − → 3π data sets. Overall, we obtain a 3π µ | ≤1.8 GeV = 46.2(6)(6) × 10 −10 as our best estimate for the total 3π contribution consistent with all (low-energy) constraints from QCD. In combination with a recent dispersive analysis imposing the same constraints on the 2π channel below 1 GeV, this covers nearly 80% of the total HVP contribution, leading to a HVP µ = 692.3(3.3) × 10 −10 when the remainder is taken from the literature, and thus reaffirming the (g−2) µ anomaly at the level of at least 3.4σ. As side products, we find for the vacuum-polarization-subtracted masses M ω = 782.63(3)(1) MeV and M φ = 1019.20(2)(1) MeV, confirming the tension to the ω mass as extracted from the 2π channel.

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Section: Combined Fitsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-pion contribution to hadronic vacuum polarization

Hoferichter

Hoid

Kubis

2019

J. High Energ. Phys.

372

220

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“…The data are taken from refs. [23,24,25]. Figure 13: Basic mechanisms contributing to the Dalitz decay ω → π 0 µ + µ − : (1) direct ωπ 0 γcoupling; (2) two-step process via ω → π 0 ρ.…”

Section: A Chiral Framework For Vmdmentioning

confidence: 99%

Effective lagrangian approach to vector mesons, their structure and decays

Klingl

Kaiser

Weise

1996

Z. Physik A - Hadrons and Nuclei

206

305

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An improved update of the structure and decays of ρ 0 , ω and φ mesons based on a chiral SU(3) Lagrangian, including anomaly terms is presented. We demonstrate that a consistent and quantitatively successful description of both pion and kaon electromagnetic form factors can be achieved. We also discuss the e + e − → π + π 0 π − cross section, the Dalitz decay ω → π 0 µ + µ − and aspects of ρ 0 ω and ωφ mixing. Relations to previous versions of the Vector Meson Dominance model will be examined.

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“…The process e + e − → η2π has been studied experimentally at several facilities: DM1 [19], DM2 [20], ND [21,22], CMD-2 [23], and BaBar [24]. From the theoretical point of view they were also discussed within several different phenomenological approaches [23,25,26].…”

Section: Introductionmentioning

confidence: 99%

Thee+e−→η(η′)2πprocess in the extended Nambu–Jona-Lasinio model

Волков¹,

Arbuzov

Kostunin

2014

Phys. Rev. C

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Process of electron-positron annihilation into η(η ′ )2π is described within the extended NJL model in the energy range up to about 2 GeV. Contributions of intermediate vector mesons ρ(770) and ρ(1450) are taken into account. Results for the η2π channel are found to be in a reasonable agreement with experimental data. Predictions for production of η ′ 2π are given. The corresponding estimations for decays τ → η(η ′ )2πν are given in Appendix.

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Cross section of the reaction e+e−→π+π−π0 for C.M. energies from 750 to 1100 MeV

Cited by 50 publications

References 9 publications

Three-pion contribution to hadronic vacuum polarization

Three-pion contribution to hadronic vacuum polarization

Effective lagrangian approach to vector mesons, their structure and decays

Thee+e−→η(η′)2πprocess in the extended Nambu–Jona-Lasinio model

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