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Two-loop QCD amplitudes for $t\bar{t}H$ production from boosted limit
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abstract
The production of a Higgs boson in association with a top-antitop quark pair ($t\bar{t}H$) holds significant importance in directly probing the top-quark Yukawa coupling, which is related to various fundamental questions in high energy physics. This paper focuses on the calculation of two-loop amplitudes for $t\bar t H$ production at hadron colliders in the high-energy boosted limit. The calculation employs our recently developed mass-factorization formula. To validate the accuracy of our approximate methods, we compare our results for the one-loop amplitudes and the two-loop infrared poles with the exact calculations. We then provide predictions for the finite parts of the two-loop amplitudes. By combining the contributions from real emissions, our results can be utilized to compute the next-to-next-to-leading order differential cross sections for $t\bar t H$ production in the high-energy boosted limit.
Forward citations
Cited by 3 Pith papers
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Precise predictions for $t \bar t H$ production at the LHC: inclusive cross section and differential distributions
First fully differential NNLO QCD predictions for ttH production at the LHC, with the missing two-loop virtual part estimated by two complementary approximations and merged with NLO electroweak corrections.
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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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Next-to-next-to-leading order event generation for $t\bar{t}H$ production with approximate two-loop amplitude
First NNLO+PS (MiNNLOPS) generator for ttH production, combining soft-Higgs and high-energy approximate two-loop amplitudes pointwise, with one-loop-level validation.
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