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Durham e-Theses
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Higgs Bosons and QCD Jets at Two Loops

Koukoutsakis, Athanasios (2003) Higgs Bosons and QCD Jets at Two Loops. Doctoral thesis, Durham University.



In this thesis we present techniques for the calculation of two-loop integrals contributing to the virtual corrections to physical processes with three on-shell and one-off-shell external particles. First, we describe a set of basic tools that simplifyy the manipulation of complicated two-loop integrals. A technique for deriving helicity amplitudes with use of a set of projectors is demonstrated. Then we present an algorithm, introduced by Laporta, that helps reduce all possible two-loop integrals to a basic set of 'master integrals'. Subsequently, these master integrals are analytically evaluated by deriving and solving differential equations on the external scales of the process. Two-loop matrix elements and helicity amplitudes are calculated for the physical processes γ* → qqg and H → ggg respectively. Conventional Dimensional Regularization is used in the evaluation of Feynman diagrams. For both processes, the infrared singular behaviour is shown to agree with the one predicted by Catani.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:2003
Copyright:Copyright of this thesis is held by the author
Deposited On:26 Jun 2012 15:19

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