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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.

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Abstract

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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