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Title: Quark and gluon form factors at three loops in perturbative QCD
Author: Ikizlerli, Nehir
ISNI:       0000 0004 2683 8071
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 2009
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available