Measurement of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider

Abstract

The cross section of the process $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ is measured using the data collected with the CMD-$3$ detector at the VEPP-$2000$ collider in the center-of-mass energy range from $1.1$ to $2.0$ GeV. The decay mode $\eta \to \gamma \gamma$ is used for $\eta$ meson reconstruction in the data sample corresponding to an integrated luminosity of $78.3$ pb${}^{-1}$. The energy dependence of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section is fitted within the framework of vector meson dominance in order to extract the $\Gamma (\rho (1450)\to {}^{+}{e}^{-})\mathcal{B}(\rho (1450)\to \eta {\pi }^{+}{\pi }^{-})$ and the $\Gamma (\rho (1700)\to e^{+}{e}^{-})\mathcal{B}(\rho (1700)\to \eta {\pi }^{+}{\pi }^{-})$ products. Based on conservation of vector current, the analysed data are used to test the relationship between the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section and the spectral function in ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decay. The $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section measured with the CMD-$3$ detector is in good agreement with the previous measurements.

References in corpus (10)

• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Spectral distribution for the decay tau -> nu_tau K pi
• Backscattering of Laser Radiation on Ultra-Relativistic Electrons in Transverse Magnetic Field: Evidence of Photon Interference in a MeV Scale
• Next to Leading Logarithms and the PHOTOS Monte Carlo
• Rho primes in analyzing e+e- annihilation, MARK III, LASS and ARGUS data
• The system for delivery of IR laser radiaton into high vacuum
• The Muon g-2 in Progress
• CVC and τ\rightarrow η(η^\prime)π^{-}π^{0}ν_τ

Cited by in corpus (12)

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• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• The strong coupling from an improved $\tau$ vector isovector spectral function
• Towards an improved understanding of $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$
• Contributions for the kaon pair from $\rho (770)$, $\omega (782)$ and their excited states in the $B\to K\bar{K}h$ decays
• Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ 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
• Measurement of the cross sections for $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ at center-of-mass energies between 2.00 and 3.08 GeV
• A new method for obtaining a Born cross section using visible cross section data from $e^{+}{e}^{-}$ colliders
• Kinematic and vertex fitting package for the CMD-3 experiment
• Contribution of exclusive $({\pi }^0{\pi }^0,{\pi }^0\eta ,\eta \eta )\gamma$ channels to the leading order HVP of the muon $g-2$