New high-statistics measurement of the $\pi^0 \to e^+e^-\gamma$ Dalitz decay at the Mainz Microtron
The Dalitz decay $\pi^0 \to e^+e^-\gamma$ has been measured with the highest statistical accuracy obtained so far in the $\gamma p\to \pi^0 p$ reaction with the A2 tagged-photon facility at the Mainz Microtron, MAMI. The value of the slope parameter for the $\pi^0$ electromagnetic transition form factor, $a_\pi=0.0315\pm 0.0026_{\mathrm{stat}}\pm 0.0010_{\mathrm{syst}}$, is obtained from the analysis of $2.4\times10^6$ $\pi^0 \to e^+e^-\gamma$ observed decays. Within experimental uncertainties, it is in agreement with existing measurements and theoretical calculations, with its own uncertainty being smaller than previous results based on the analysis of $\pi^0\to e^+e^-\gamma$ decays.