Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit

Abstract

In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in the large top quark mass limit and compute four expansion terms in $1/m_t^2$. Good convergence is observed below the top quark threshold, which makes our results a valuable input for approximation methods which aim for next-to-next-to-leading order corrections over the whole kinematic range. We present details on various steps of our calculation; in particular, we provide results for three- and four-particle phase-space master integrals and describe in detail the evaluation of the collinear counterterms.

50 pages, 15 figures

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• Electroweak corrections to Higgs boson pair production: The top-Yukawa and self-coupling contributions
• Double Higgs production at NNLO interfaced to parton showers in GENEVA
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD