Hint for a minimal interaction length in $e^+e^-\toγγ$ annihilation in total cross section of centre-of-mass energies 55-207 GeV

The measurements of the total cross section of the $e^+e^-\toγγ$ reaction from the VENUS, TOPAS, OPAL, DELPHI, ALEPH and L3 collaborations, collected between 1989 to 2003, are used to perform a $χ^{2}$ test to search for a finite interaction length in direct contact term. The experimental data of the total cross section compared to the QED cross section of a $χ^{2}$ test allows, to set limit on a finite interaction length $r_{e}=(1.25\pm 0.16) \times 10 ^{-17} [cm]$. In the direct contact term annihilation is this interaction lengths a measure for the size of the electron.

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