Effective fine structure constant

Reefat (2019) Effective fine structure constant. Masters thesis, Memorial University of Newfoundland.

[English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (2MB)

Abstract

In this thesis, we use the dispersive approach to calculate the effective fine structure constant. In this calculation, a truncated self-energy and triangle topology is considered up to Next-to-Next to Leading Order (NNLO). We have used the dispersive approach for two-loop self energy to evaluate a NNLO (two loop) contributions and a result obtained is rather compact expressions using only two loop Passarino-Veltman function basis. For the triangle topology, we have used a bulk approximation technique. The numerical result was obtained using the LoopTools and ColliersLink packages in Mathematica.

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