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Z-Sum Approach to Loop Integrals

Title: Z-Sum Approach to Loop Integrals.
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Name(s): Rottmann, Paulo A., author
Reina, Laura, professor directing thesis
Aluffi, Paolo, university representative
Berg, Bernd A., committee member
Wahl, Horst D., committee member
Rikvold, Per Arne, committee member
Department of Physics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2011
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: 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.
Identifier: FSU_migr_etd-1784 (IID)
Submitted Note: A Dissertation Submitted to the Department of Physics in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy.
Degree Awarded: Spring Semester, 2011.
Date of Defense: March 31, 2011.
Keywords: loop diagram, loop Integral, Z-Sum
Bibliography Note: Includes bibliographical references.
Advisory committee: Laura Reina, Professor Directing Thesis; Paolo Aluffi, University Representative; Bernd A. Berg, Committee Member; Horst D. Wahl, Committee Member; Per Arne Rikvold, Committee Member.
Subject(s): Physics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_etd-1784
Host Institution: FSU

Choose the citation style.
Rottmann, P. A. (2011). Z-Sum Approach to Loop Integrals. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-1784