Recursive construction of Higgs+multiparton loop amplitudes: The last of the '{phi}-nite' loop amplitudes

Journal Article · Wed Nov 01 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.094021· OSTI ID:20873146

Berger, Carola F; Dixon, Lance J ^[1]; Del Duca, Vittorio ^[2]

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1. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
2. Istituto Nazionale di Fisica Nucleare, Sez. di Torino, via P. Giuria, I-10125 Turin (Italy)

We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator H tr G{sub {mu}}{sub {nu}}G{sup {mu}}{sup {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}}{sub {nu}}G{sub SD}{sup {mu}}{sup {nu}}, whereas the conjugate field {phi}{sup {dagger}} 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.

• OSTI ID: 20873146
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B QUARKS
C QUARKS
COUPLING
GLUONS
HIGGS BOSONS
HIGGS MODEL
QUANTUM CHROMODYNAMICS
RECURSION RELATIONS
SCALAR FIELDS
T QUARKS