We consider a scalar field, such as the Higgs boson H, coupled to gluons viathe effective operator H tr G_{mu nu} G^{mu nu} induced by a heavy-quark loop.We treat H as the real part of a complex field phi which couples to theself-dual part of the gluon field-strength, via the operator phi tr G_{SD munu} G_{SD}^{mu nu}, whereas the conjugate field phi^dagger couples to theanti-self-dual part. There are three infinite sequences of amplitudes couplingphi to quarks and gluons that vanish at tree level, and hence are finite at oneloop, in the QCD coupling. Using on-shell recursion relations, we find compactexpressions for these three sequences of amplitudes and discuss their analyticproperties.
展开▼
