Type of Document	Dissertation
Author	Rottmann, Paulo A.
URN	etd-04112011-102603
Title	Z-Sum Approach to Loop Integrals
Degree	Doctor of Philosophy
Department	Physics, Department of
Advisory Committee	Advisor Name Title Bernd A. Berg Committee Member Horst D. Wahl Committee Member Laura Reina Committee Member Per Arne Rikvold Committee Member Paolo Aluffi University Representative
Keywords	loop diagram loop Integral Z-Sum
Date of Defense	2011-03-31
Availability	unrestricted
Abstract We study the applicability of the Z-Sum approach to multi-loop calculations with massive particles in perturbative quantum field theory. We systematically analyze the case of one-loop scalar integrals, which represent the building blocks of any higher-loop calculation. We focus in particular on triangle one-loop integrals and identify strengths and limitations of the Z-Sum approach, extending our results to the case of one-loop box integrals when appropriate. We conclude with the calculation of a specific physical example: the calculation of heavy flavor corrections to the renormalized scattering amplitude for deep inelastic scattering.
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