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Higgs bosons and QCD jets at two loops

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Title: Higgs bosons and QCD jets at two loops
Authors: Koukoutsakis, Athanasios
Summary: In this thesis we present techniques for the calculation of two-loop integrals contributing to the virtual corrections to physical processes with three on-shell and one-off-shell external particles. First, we describe a set of basic tools that simplifyy the manipulation of complicated two-loop integrals. A technique for deriving helicity amplitudes with use of a set of projectors is demonstrated. Then we present an algorithm, introduced by Laporta, that helps reduce all possible two-loop integrals to a basic set of 'master integrals'. Subsequently, these master integrals are analytically evaluated by deriving and solving differential equations on the external scales of the process. Two-loop matrix elements and helicity amplitudes are calculated for the physical processes γ* → qqg and H → ggg respectively. Conventional Dimensional Regularization is used in the evaluation of Feynman diagrams. For both processes, the infrared singular behaviour is shown to agree with the one predicted by Catani.
URL: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.268639
Database: OpenDissertations
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DbLabel: OpenDissertations
An: ddu.oai.ethos.bl.uk.268639
AccessLevel: 6
PubType: Dissertation/ Thesis
PubTypeId: dissertation
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  Label: Title
  Group: Ti
  Data: Higgs bosons and QCD jets at two loops
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Koukoutsakis%2C+Athanasios%22">Koukoutsakis, Athanasios</searchLink>
– Name: Abstract
  Label: Summary
  Group: Ab
  Data: In this thesis we present techniques for the calculation of two-loop integrals contributing to the virtual corrections to physical processes with three on-shell and one-off-shell external particles. First, we describe a set of basic tools that simplifyy the manipulation of complicated two-loop integrals. A technique for deriving helicity amplitudes with use of a set of projectors is demonstrated. Then we present an algorithm, introduced by Laporta, that helps reduce all possible two-loop integrals to a basic set of 'master integrals'. Subsequently, these master integrals are analytically evaluated by deriving and solving differential equations on the external scales of the process. Two-loop matrix elements and helicity amplitudes are calculated for the physical processes γ* → qqg and H → ggg respectively. Conventional Dimensional Regularization is used in the evaluation of Feynman diagrams. For both processes, the infrared singular behaviour is shown to agree with the one predicted by Catani.
– Name: URL
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  Data: <link linkTarget="URL" linkTerm="http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.268639" linkWindow="_blank">http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.268639</link>
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ddu&AN=ddu.oai.ethos.bl.uk.268639
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: 539
        Type: general
      – SubjectFull: Elementary particles & high energy physics
        Type: general
    Titles:
      – TitleFull: Higgs bosons and QCD jets at two loops
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Koukoutsakis, Athanasios
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2003
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