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The one-loop amplitudes for Higgs + 4 partons with full mass effects
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abstract
We present compact analytic formulae for the one-loop amplitudes for Higgs + 4 parton scattering, $0 \to g g g g h$, $0 \to \bar{q} q gg h$ and $0\to \bar{q} q \bar{q}^\prime q^\prime h$, mediated by a loop of massive coloured quarks. We exploit the correspondence with a theory in which a massive coloured scalar circulates in the loop to avoid a proliferation in the number of terms in the result. In addition, we use momentum twistors and high precision numerical evaluations to simplify the expressions. The analytic results in this paper, in terms of spinor products, allow construction of an efficient numerical program to calculate the amplitude.
Forward citations
Cited by 3 Pith papers
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Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.
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An analytic result for the $0 \to ggHHH$ amplitude
The authors present the complete leading-order one-loop amplitude for gg to HHH in closed analytic form, with full top and bottom quark mass dependence, validated against two independent numerical programs.
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Analytic reconstruction with massive particles: one-loop amplitudes for $0 \to \bar{q}qt\bar{t}H$
First analytic reconstruction of the one-loop amplitude for 0 to anti-q, q, top, anti-top, Higgs using massive spinor-helicity, with expressions about twice as fast as the automatic code OpenLoops.
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