Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes:The Last of the \phi-nite Loop Amplitudes
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.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 889666
- Report Number(s):
- SLAC-PUB-12054; hep-ph/0608180; TRN: US200620%%365
- Journal Information:
- Submitted to Physical Review D, Journal Name: Submitted to Physical Review D
- Country of Publication:
- United States
- Language:
- English
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Erratum: Recursive construction of Higgs+multiparton loop amplitudes: The last of the '{phi}-nite' loop amplitudes [Phys. Rev. D 74, 094021 (2006)]
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