Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes:The Last of the \phi-nite Loop Amplitudes

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We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator H tr G{sub {mu}{nu}} G{sup {mu}{nu}} induced by a heavy-quark loop. We treat H as the real part of a complex field {phi} which couples to the self-dual part of the gluon field-strength, via the operator {phi} tr G{sub SD {mu}{nu}} G{sub SD}{sup {mu}{nu}}, whereas the conjugate field {phi} couples to the anti-self-dual part. There are three infinite sequences of amplitudes coupling {phi} to quarks and gluons that vanish at tree level, and hence are finite at one loop, in the QCD ... continued below

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63 pages

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Berger, Carola F.; Del Duca, Vittorio & Dixon, Lance J. August 18, 2006.

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We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator H tr G{sub {mu}{nu}} G{sup {mu}{nu}} induced by a heavy-quark loop. We treat H as the real part of a complex field {phi} which couples to the self-dual part of the gluon field-strength, via the operator {phi} tr G{sub SD {mu}{nu}} G{sub SD}{sup {mu}{nu}}, whereas the conjugate field {phi} couples to the anti-self-dual part. There are three infinite sequences of amplitudes coupling {phi} to quarks and gluons that vanish at tree level, and hence are finite at one loop, in the QCD coupling. Using on-shell recursion relations, we find compact expressions for these three sequences of amplitudes and discuss their analytic properties.

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63 pages

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  • Journal Name: Submitted to Physical Review D

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  • Report No.: SLAC-PUB-12054
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 889666
  • Archival Resource Key: ark:/67531/metadc874043

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  • August 18, 2006

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  • Sept. 21, 2016, 2:29 a.m.

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  • Dec. 7, 2016, 8:19 p.m.

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Berger, Carola F.; Del Duca, Vittorio & Dixon, Lance J. Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes:The Last of the \phi-nite Loop Amplitudes, article, August 18, 2006; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc874043/: accessed November 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.