We calculate the three-loop matching coefficient CHH, required for a consistent description of Higgs boson pair production in gluon fusion through next-to-next-to-leading order QCD in the heavy top quark approximation. We also compute the gg→HH amplitude in mt→∞ approximation in the full theory and show its consistency with an earlier computation in heavy-top effective theory.
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Grigo et al. (2014) studied this question.
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