Next-to-leading order electroweak corrections to $gg\to HH$ and $gg\to gH$ in the large-$m_t$ limit

Abstract

We compute two-loop electroweak corrections to Higgs boson pair and Higgs plus jet production, taking into account all sectors of the Standard Model. All diagrams with virtual top quarks are computed in an expansion for large top quark mass up to order $1/m_t^8$ or more. We present analytic results for the form factors and discuss the convergence properties. For the process $gg\to gH$ we also consider QCD corrections in the large-$m_t$ limit.

Minor modifications; matches published version

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• Probing anomalous Higgs boson couplings in Higgs plus jet production at NLO QCD with full $m_t$-dependence
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• QCD corrections to Higgs boson pair production and decay to the $b\bar{b}{\tau }^{+}{\tau }^{-}$ final state
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
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• Higgs-Pair Production via Gluon Fusion: Top-Yukawa- and light-quark-induced electroweak Corrections
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