Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling

A bstractWe calculate the contributions to the two-loop scattering amplitudes h → gg, h → ggg and h→qq¯g$$ h\to q\overline{q}g $$ that arise from a modified trilinear Higgs coupling λ. Analytic expressions are obtained by performing an asymptotic expansion near the limit of infinitely heavy top quark. The calculated amplitudes are necessary to study the impact of the Oλ$$ \mathcal{O}\left(\lambda \right) $$ corrections to the transverse momentum distributions (pT,h) in single-Higgs production at hadron colliders for low and moderate values of pT,h.

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