Possible Manifestation of a Non-Pointness of the Electron in $e^+e^-$ Annihilation Reaction at Centre of Mass Energies 55-207 GeV

Abstract

The experimental data from VENUS, TOPAS, OPAL, DELPHI, ALEPH and L3 collaborations, collected from 1989 to 2003, are applied to study the QED framework through direct contact interaction terms approach, using the annihilation reaction $\rm e^+ e^-\rightarrow \gamma\gamma(\gamma)$. The analysis involves performing of a $\chi^{2}$ test to detect the presence of an excited electron $e^{*}$ and evidence of non-point like behavior in the $e^+e^-$ annihilation zone. The results of the analysis indicate a strong signal, with a confidence level of approximately $5\sigma$, for the presence of an excited electron with a mass of $308\pm 14$ GeV, and a deviation from a point-like behavior of the charge distribution of the electron. The radius of this deviation is $1.57\pm0.07\times 10^{-17}$ cm, which can be interpreted as the size of the electron.