Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-08-16
Phys.Rev.D74:094021,2006; Erratum-ibid.D76:099901,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
63 pages, 7 figures; v2 references added; v3 minor typos corrected and note added; v4 fixed error in eq. (7.11) (lower limit o
Scientific paper
10.1103/PhysRevD.74.094021
We consider a scalar field, such as the Higgs boson H, coupled to gluons via the 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 the self-dual part of the gluon field-strength, via the operator phi tr G_{SD mu nu} G_{SD}^{mu nu}, whereas the conjugate field phi^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.
Berger Carola F.
Dixon Lance J.
Duca Vittorio Del
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