Abstract
Experimental data from literature has been used to evaluate accurately the cross – section from electron positron annihilation into muon pairs via photon exchange. Cross – section for the same process via Z0 boson exchange was evaluated separately, after which the two amplitudes were summed together and their cross – section evaluated again. The center of mass energies ranging from 2GeV up to and above the Z0 peak were used to study the behavior of the cross – sections at each stage. The three results were compared to observe the effect of the interference between photon/Z0 boson on the center of mass energy dependent of the process.
Highlights
Electron positron annihilation ( ⟶) is a very important process in high energy physics
A plot of the total cross – section against the center of mass energies presented in figure 2, shows an inverse relation to the square of the center of mass energy
There appears a Z0 pole in this factor which implies that, the total cross – section blows up when the center of mass energy hit the mass of the Z0 boson
Summary
) is a very important process in high energy physics. As such, it is widely used for experimental purposes at an electron positron collider. It is widely used for experimental purposes at an electron positron collider This process occurs often in Quantum Electrodynamics (QED). In QED, the first order diagram to this process is an s-channel photon exchange. This implies an annihilation of electron and positron in a virtual photon which decays into charged fermion – antifermion pairs. These charged fermions can either be leptons (electrons, muons, tauons) or quark – antiquark pairs. The cross section for this process exhibits a forward backward symmetry which is the fact that, electromagnetic interaction is preserved under parity transformation [1]
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