Study of ${\pi }^0$ and $\eta$ decays containing dilepton

Abstract

We calculate the momentum dependent form factors of $P\to {\gamma }^{\ast }{\gamma }^{\ast }$($P={\pi }^0,\eta$) within the light-front quark model. Using the form factors, we examine the decays of $P\to l^{+}{l}^{-}$, $P\to l^{+}{l}^{-}\gamma$ and $P\to l^{+}{l}^{-}{l}^{+}{l}^{-}$($l=e$ or $\mu$) and compare our results with the experimental data and other theoretical predictions. In particular, for ${\pi }^0\to e^{+}{e}^{-}$, we find that the decay branching ratio is $6.68\times 10^{-8}$, which is consistent with the recent measurement of $(7.48\pm 0.29\pm 0.25)\times 10^{-8}$ by E799 of KTeV/Fermilab.

13 pages, 1 figures. 2 tables; Charge factors added and numerical results corrected

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• Measurement of the rare decay pi0 -> e+ e-
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• Measurement of Prominent eta Decay Branching Fractions
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Cited by in corpus (6)

• A data-driven approach to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ single and double Dalitz decays
• Observation of the rare eta->e+e-e+e- decay with the KLOE experiment
• ${\pi }^0\to {\gamma }^{\ast }\gamma$ transition form factor within Light Front Quark Model
• The radiative corrections to double-Dalitz decays revisited
• Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory
• Form factors of ${\eta }_c$ in light front quark model