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Durham e-Theses
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Quark and Gluon Form Factors at Three Loops in Perturbative QCD

IKIZLERLI, NEHIR (2009) Quark and Gluon Form Factors at Three Loops in Perturbative QCD. Doctoral thesis, Durham University.



We compute the quark and gluon form factors at up to three-loop order within massless perturbative Quantum Chromodynamics by studying the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons. We use Feynman diagram methods to derive expressions for the form-factors in terms of tensor loop integrals in $D=4-2\epsilon$ dimensions. We review various methods for relating tensor integrals to a basis set of master integrals and utilize the FIRE package based on Integration-By-Parts to perform the reduction, thereby enabling the form factors to be expressed (in $D$-dimensions) as a sum of master integrals. We assemble the known results for master integrals and use them to provide a Laurent expansion in $\epsilon$ through to $\mathcal{O}(\epsilon^{0})$. The results for the three-loop form factors may provide the building blocks for many third-order cross section calculations.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:Perturbative QCD,Loops
Faculty and Department:Faculty of Science > Physics, Department of
Thesis Date:2009
Copyright:Copyright of this thesis is held by the author
Deposited On:04 Feb 2010 09:25

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