Abstract:
In this thesis, detailed derivations of the spin-average invariant amplitude and hence the
differential cross-section for unpolarized electron-muon elastic scattering are made by using
lowest-order Feynman diagrams. It has taken electron and muon of a spin-
which allows a
consistent quantum electrodynamical description of the scattering process. The Feynman
rules, Casimir’s trick and trace theorems have been employed in constructing the relativistic
expression of spin-average invariant amplitude. Moreover, by integrating over the Dirac-delta
function it shows the dependence of differential cross section on the energy and scattering
angle of the final state. Furthermore, the final result of the equation of differential cross
section is converted to the Fortran 95 code, and from the results; the graph of unpolarized
differential cross section against scattering angles is plotted by using Origin Pro7.0.
Numerical result of the differential cross section for electron-muon elastic scattering in lab
frame is maximum at forward angles and levels off as the angle increases. Moreover,
negligible contribution comes from incident energy above 100MeV to the angular distribution.
The result is also much consistent with the Mott predictions at forward angles and low
incident energy of electron.
