Abstract
In this work we analyse the triple Higgs boson production cross section at hadron colliders via gluon fusion, and present for the first time the full set of QCD NNLO corrections in the heavy top limit. In order to account for finite top mass effects we perform two different reweighting procedures, and study the dependence of the result on the choice of the approximation. Combining the most accurate predictions available to date, we present the following result for the total NNLO cross section for triple Higgs boson production at a 100 TeV collider: {sigma}_{mathrm{NNLO}}={5.56}_{-6%}^{+5%} ± 20% fb, where the first uncertainty is an estimate for higher order effects from scale variations, while the last one is an estimate for the missing finite top mass effects.
Highlights
Combining the most accurate predictions available to date, we present the following result for the total NNLO cross section for triple Higgs boson production at a 100 TeV collider: σNNLO = 5.56+−56%% ± 20% fb, where the first uncertainty is an estimate for higher order effects from scale variations, while the last one is an estimate for the missing finite top mass effects
The results presented complete the full NNLO corrections to triple Higgs production in the heavy top limit (HTL) when the quantities FP, FB and FT are expressed in this limit (see eq (2.2))
When comparing our results with the ones obtained in ref. [17] in the soft-virtual approximation, we find that the SV result differs only in about 1% from the full NNLO in the HTL, when using the Bi reweight the difference grows to a 2.5% and 4.4% increase in the inclusive cross-section at 14 TeV and 100 TeV, respectively
Summary
We will examine the structure of the LO amplitude and cross-section. The Born amplitudes needed for the numerical calculation were obtained using Recola2[20]. In the left panel we plot the interference structure between the P and the B diagrams, similar to the one usually presented for double Higgs production between the box and triangle contributions This pattern can be better understood if we parametrise the amplitudes in terms of quark loop form factors (factoring out the Higgs boson couplings and propagators). Because of the different dependence on the self-couplings of the contributions presented in eq (2.1), a departure from the SM value κ3,4 = 1 might spoil the destructive interference patterns depicted in figure 3 This can be seen clearly, where a large sensitivity to the κ3 coupling is present around the threshold, where the cross-section can be more than 30 times larger than the SM expectation. |σ/σSM − 1| < 28% in the range under study), which is compatible with the right panel of figure 3 that shows the |T4|2 contribution to the invariant mass distribution
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