On a search for the $\eta \to e^{+}{e}^{-}$ decay at the VEPP-2000 $e^{+}{e}^{-}$ collider

Abstract

A sensitivity of the VEPP-2000 $e^{+}{e}^{-}$ collider in a search for the rare decay $\eta \to e^{+}{e}^{-}$ has been studied. The inverse reaction $e^{+}{e}^{-}\to \eta$ is proposed for this search. We have analyzed a data sample with an integrated luminosity of 108 nb${}^{-1}$ collected with the SND detector in the center-of-mass energy range 520-580 MeV and found no background events for the reaction $e^{+}{e}^{-}\to \eta$ in the decay mode $\eta \to {\pi }^0{\pi }^0{\pi }^0$. In the absence of background, a sensitivity to $\mathcal{B}(\eta \to e^{+}{e}^{-})$ of $10^{-6}$ can be reached during two weeks of VEPP-2000 operation. Such a sensitivity is better than the current upper limit on $\mathcal{B}(\eta \to e^{+}{e}^{-})$ by a factor of 2.3.

5 pages, 2 figures, accepted for publication in JETP Letters

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• Measurement of the rare decay pi0 -> e+ e-
• Rare decay pi0 -> e+e-: theory confronts KTeV data
• A system of beam energy measurement based on the Compton backscattered laser photons for the VEPP-2000 electron-positron collider
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Cited by in corpus (2)

• Study of the process $e^{+}{e}^{-}\to \omega \eta {\pi }^0$ in the energy range $\sqrt{s}<2$ GeV with the SND detector
• Search for the process ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \eta$