Hint for a Minimal Interaction Length in ,[object Object], Annihilation in Total Cross Section of Center-of-Mass Energies 55-207 GeV
Minghui Liu (Department of Modern Physics, University of Science and Technology of China, Jinzhai Road 96, Hefei, Anhui 230026, China)
; Yutao Chen (Department of Modern Physics, University of Science and Technology of China, Jinzhai Road 96, Hefei, Anhui 230026, China); Jürgen Ulbricht (Swiss Institute of Technology ETH Zurich, CH-8093 Zurich, Switzerland)
The measurements of the total cross section of the ,[object Object], reaction from the VENUS, TOPAS, OPAL, DELPHI, ALEPH, and L3 collaborations, collected between 1989 and 2003, are used to perform a ,[object Object], test to validate the current quantum electrodynamics (QED) theory and search for possible deviations with the direct contact term annihilation. By observing a deviation from the QED predictions on the total cross section of the ,[object Object], reaction above ,[object Object], GeV, a non-QED direct contact term is introduced following the dimension 6 effective theory to explain the deviation. In the non-QED direct contact term, a threshold energy scale ,[object Object], is included and explained to the finite interaction length in direct contact term and in consequence the size of the electron involved in the annihilation area. The experimental data of the total cross section is compared to the QED cross section by a ,[object Object], test, which gives a best fit of the ,[object Object], to be ,[object Object], GeV, corresponding to a finite interaction length of ,[object Object], (cm). In the direct contact term annihilation, this interaction length is a measure of the size of an electron ,[object Object],. By combining all the data results from the mentioned collaborations, we have at least 2 to 3 times more statistics than every single experiment at high ,[object Object], region. This induces the best precision on ,[object Object], compared to the previous measurements.
