Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes

Abstract

We propose a novel method for the treatment of top-quark mass effects in the production of $H^{(\ast )}$, $HH$, $HZ$ 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 Padé 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.

40 pages, 11 figures, v2: published version

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• On the NLO QCD Corrections to Gluon-Initiated ZH Production
• Analytic approximations of $2\to 2$ processes with massive internal particles
• Probing Higgs couplings to light quarks via Higgs pair production
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• Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit
• Four-lepton production in gluon fusion at NLO matched to parton showers
• Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference
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• Higgs pair production from bottom quark annihilation to NNLO in QCD
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• Expansion by regions with pySecDec
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Aspects of approximation in modelling of the symmetry energy
• Gluon Fusion Production at NLO: Merging the Transverse Momentum and the High-Energy Expansions
• Constraining dimension-6 SMEFT with higher-order predictions for $pp\to tW$
• NNLO real corrections to $gg\to HH$ in the large-$m_t$ limit
• Electroweak and non-resonant corrections to top-pair production near threshold at NNLO
• Shape analysis in Higgs boson pair production
• Theoretical modeling of QCD radiation in off-shell Higgs production through gluon fusion
• Higgs-Pair Production via Gluon Fusion: Top-Yukawa- and light-quark-induced electroweak Corrections