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Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes
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abstract
We propose a novel method for the treatment of top-quark mass effects in the production of $H^{(*)}$, $HH$, $HZ$ and $ZZ$ final states in gluon fusion. We show that it is possible to reconstruct the full top-quark mass dependence of the virtual amplitudes from the corresponding large-$m_t$ expansion and the non-analytic part of the amplitude near the top-quark threshold $\hat{s}=4m_t^2$ with a Pad\'e ansatz. The reliability of our method is clearly demonstrated by a comparison with the recent NLO result for Higgs pair production with full top-quark mass dependence.
Forward citations
Cited by 5 Pith papers
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The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy
The leading-power mass logarithms in high-energy gg to HH are shown to originate solely from top-quark mass renormalization, enabling a resummation that sharply reduces the mass-scheme uncertainty of the virtual amplitude.
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Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference
New Padé approximants built from large-mass and threshold expansions give the two-loop top-quark mass dependence of the gg to ZZ box form factors relevant for off-shell Higgs interference.
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Three-loop form factors for Higgs boson pair production in the large top mass limit
New 1/m_t^2 expansion terms, up to 1/m_t^8 for the box form factors and 1/m_t^14 for the triangle form factor, are computed for the three-loop gg to HH amplitude.
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Exploring anomalous couplings in Higgs boson pair production through shape analysis
Anomalous Higgs couplings change the shape of the di-Higgs mass distribution, and an unsupervised clustering algorithm captures those shape differences more finely than a hand-defined taxonomy.
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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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