Analytic one-loop amplitudes for a Higgs boson plus four partons

Abstract

We compute the one-loop QCD amplitudes for the processes HqqQQ and Hqqgg, the latter restricted to the case of opposite-helicity gluons. Analytic expressions are presented for the color- and helicity-decomposed amplitudes. The coupling of the Higgs boson to gluons is treated by an effective interaction in the limit of large top quark mass. The Higgs field is split into a complex field phi and its complex conjugate phi-dagger. The split is useful because amplitudes involving phi have different analytic structure from those involving phi-dagger. We compute the cut-containing pieces of the amplitudes using generalized unitarity. The remaining rational parts are obtained by on-shell recursion. Our results for HqqQQ agree with previous semi-numerical computations. We also show how to convert existing semi-numerical results for the production of a scalar Higgs boson into analogous results for a pseudoscalar Higgs boson.

Comments: 56 pages, 11 figures. v2: typos in eqs. (4.6), (4.19), (4.24), (4.63)-(4.66) corrected, reference added, version to appear in JHEP. v3: typos in eq. (2.17) corrected