Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation

Abstract

We study, at leading order in the large number of colours expansion and within the Resonance Chiral Theory framework, the odd-intrinsic-parity $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}({\pi }^0,\eta )$ cross-sections in the energy regime populated by hadron resonances, namely $3 \, m_π \lsim E \lsim 2 \, \mbox{GeV}$. In addition we implement our results in the Monte Carlo generator PHOKHARA 7.0 and we simulate hadron production through the radiative return method.

39 pages, 5 figures

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• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Consistent high-energy constraints in the anomalous QCD sector
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Towards an improved understanding of $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Measurement of the Born cross sections for $e^{+}{e}^{-}\to {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ at center-of-mass energies between $2.00$ and $3.08$ GeV
• The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ in the extended NJL model
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• A study of $\rho -\omega$ mixing in resonance chiral theory
• Nature of $X(2370)$
• Analysis of BaBar data for three meson tau decay modes using the Tauola generator