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

Journal Article · Fri Aug 18 00:00:00 EDT 2006 · Submitted to Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.74.094021· OSTI ID:889666

Berger, Carola F; Del Duca, Vittorio; Dixon, Lance J

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: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 889666
• Report Number(s): SLAC-PUB-12054; hep-ph/0608180
• Journal Information: Submitted to Physical Review D, Journal Name: Submitted to Physical Review D
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CONSTRUCTION
GLUONS
HIGGS BOSONS
Phenomenology-HEP
HEPPH
QUANTUM CHROMODYNAMICS
QUARKS
RECURSION RELATIONS
SCALAR FIELDS
TREES