Abstract
We consider a scalar field, such as the Higgs boson , coupled to gluons via the effective operator induced by a heavy-quark loop. We treat as the real part of a complex field which couples to the self-dual part of the gluon field-strength, via the operator , whereas the conjugate field couples to the anti-self-dual part. There are three infinite sequences of amplitudes coupling 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.
- Received 22 August 2006
DOI:https://doi.org/10.1103/PhysRevD.74.094021
©2006 American Physical Society