Electroweak corrections to Higgs boson pair production: The top-Yukawa and self-coupling contributions

Abstract

We present results for the Yukawa-enhanced and Higgs self-coupling type electroweak corrections to di-Higgs production in gluon fusion. The calculation of the corresponding four-scale, two-loop amplitude is carried out retaining the exact symbolic dependence on all masses and scales during the reduction to master integrals. The resulting integrals are then evaluated at high precision using both the series expansion of the differential equations and sector decomposition. Differential cross sections for the di-Higgs invariant mass and the transverse momentum of a Higgs boson are shown, where we find that the corrections are most pronounced at low invariant mass and transverse momentum.

34 pages, 7 figures, 4 tables - Updated to match version accepted by JHEP

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• Constraining the Higgs potential using multi-Higgs production
• Higgs-Pair Production via Gluon Fusion: Top-Yukawa- and light-quark-induced electroweak Corrections