Electroweak corrections to double Higgs production at the LHC

Abstract

We present the results for the complete next-to-leading order electroweak corrections to $pp\to HH$ at the Large Hadron Collider, focusing on the dominant gluon-gluon fusion process. While the corrections at the total cross-section level are approximately $-4\%$, those near the energy of $HH$ production threshold exceed $+15\%$, and corrections at the high-energy region are around $-10\%$, leading to a shape distortion for the differential distributions. Our findings substantially diminish the theoretical uncertainties associated with this pivotal process, providing valuable input for understanding the shape of the Higgs boson potential upon comparison with experimental measurements.

7 pages, 4 figures, version published in PRL

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• Electroweak corrections to Higgs boson pair production: The top-Yukawa and self-coupling contributions
• Two-loop running effects in Higgs physics in Standard Model Effective Field Theory
• Improved constraints on Higgs boson self-couplings with quartic and cubic power dependencies of the cross section
• Massive two-loop four-point Feynman integrals at high energies with AsyInt
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• Constraining the Higgs potential using multi-Higgs production
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects