On the two-photon contributions to $e^{+}{e}^{-}\to \eta \gamma$ and $e^{+}{e}^{-}\to {\eta }^{\prime }\gamma$

Abstract

Motivated by recent BABAR measurements of the ${\gamma }^{\ast }\to \gamma \eta$ and ${\gamma }^{\ast }\to \gamma {\eta }^{\prime }$ transition form factors, we estimate two-photon exchange contributions to the corresponding cross sections. By using a phenomenological model, based on the vector meson dominance, it is argued that the expected contributions are small enough not to effect the BABAR results. As a by product we predict $Br({\eta }^{\prime }\to {\mu }^{+}{\mu }^{-})=(1.4\pm 0.2)\times 10^{-7}$. Our results might be useful also in high precision calculations of radiative corrections to the Dalitz decays of pseudoscalar mesons.

23 pages, LaTeX, needs FEYNMAN package

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Cited by in corpus (11)

• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Rare decay pi0 -> e+e-: theory confronts KTeV data
• Electromagnetic decays of the neutral pion
• Two-photon form factors of the pi0, eta and eta-prime mesons in the chiral theory with resonances
• Complete structure dependent analysis of the decay $P\to l^{+}{l}^{-}$
• $\eta$ and ${\eta }^{\prime }$ decays into lepton pairs
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• Rare decay ${\pi }^0\to e^{+}{e}^{-}$ constraints on the light CP-odd Higgs in NMSSM
• Radiative corrections to the ${\eta }^{(\prime )}$ Dalitz decays
• Study of ${\pi }^0$ and $\eta$ decays containing dilepton
• Study on the effects of the light CP-odd Higgs via the leptonic decays of pseudoscalar mesons