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Gluon Fusion Production at NLO: Merging the Transverse Momentum and the High-Energy Expansions
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abstract
The virtual corrections to $gg\to HH$ and $gg\to ZH$ are analytically evaluated combining an expansion in the small transverse momentum of the final particles with an expansion valid at high energies. The two expansion methods describe complementary regions of the phase space and we merge their results, extending the range of validity of both expansions using Pad\'e approximants. We show that this approach can reproduce the available numerical results retaining the exact top quark mass dependence with an accuracy well below the 1% level. Our results allow a fast and flexible evaluation of the virtual corrections of the considered processes. Furthermore, they are available in different renormalisation schemes of the top quark mass.
Forward citations
Cited by 3 Pith papers
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Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects
First fully differential N3LO QCD predictions for gg->hh in the heavy-top limit, with NLO top-mass effects added; heavy-top scale uncertainty shrinks about 3x, to roughly 1-3%.
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Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion
The paper provides fast, analytic two-loop virtual QCD corrections for gluon-induced ZH and off-shell ZZ production with full top-quark mass dependence, validated against numerical results at the sub-percent level.
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{\tt ggxy}: a flexible library to compute gluon-induced cross sections
A new software library, ggxy, computes NLO QCD cross sections for gg to HH and reproduces previous exact results with much shorter runtimes.
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