Electroweak corrections to double Higgs production at the LHC

TL;DR

This paper calculates the complete electroweak corrections to double Higgs production at the LHC, revealing significant shape distortions in distributions and reducing theoretical uncertainties for better understanding of the Higgs potential.

Contribution

It provides the first full next-to-leading order electroweak correction calculation for $pp o HH$, improving precision in theoretical predictions.

Findings

Total cross-section corrections are about -4%.

Near the $HH$ threshold, corrections exceed +15%.

High-energy corrections are around -10%.

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.