Scattering Processes in QED and Generating Feynman Diagrams

Manna, Laboni and Tripathi, Anurag (2019) Scattering Processes in QED and Generating Feynman Diagrams. Masters thesis, Indian institute of technology Hyderabad.

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Abstract

We studied the electron-positron annihilation process in which it creates muon and anti-muon and the phenomenon of Compton scattering of a photon o� an electron. The differential scattering cross-sections are calculated for electron-positron annihilation process and that for Compton scattering also. Here we calculated the unpolarized scattering cross-sections. The differential scattering cross-sections are found explicitly in the centre-of-mass frame. But all such process have higher order corrections also, which contain loops. Here we will also describe the correction to electron scattering which comes from the presences of an additional virtual photon. The higher order correction also needs Feynman Diagrams using which we can do the higher order calculation. Here we wrote a Mathematica code which will generate one loop and two loop connected diagrams for two point function in �3 theory and �4 theory respectively.

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