Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes:The Last of the \phi-nite Loop Amplitudes Page: 1 of 63

                                
SLAC-PUB-12054

Recursive Construction of Higgs + Multiparton Loop Amplitudes:
The Last of the O-nite Loop Amplitudes*
Carola F. Berger', Vittorio Del Duca2, and Lance J. Dixon'
' Stanford Linear Accelerator Center
Stanford University
Stanford, CA 94309, USA
2 Istituto Nazionale di Fisica Nucleare
Sez. di Torino
via P. Giuria, 1-10125 Torino, Italy
(Dated: August, 2006)
Abstract
We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator
H tr G,,G" induced by a heavy-quark loop. We treat H as the real part of a complex field 0
which couples to the self-dual part of the gluon field-strength, via the operator # tr GSDpYGD',
whereas the conjugate field #t couples to the anti-self-dual part. There are three infinite sequences
of amplitudes coupling 0 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.
PACS numbers: 12.38.Bx, 14.80.Bn, 11.15.Bt, 11.55.Bq
Submitted to Physical Review D
* Research supported by the US Department of Energy under contract DE AC02 76SF00515, and by the
Italian MIUR under contract 2004021808_009.

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hep-ph/yymmnnn