Higgs boson pair production at N$^3$LO QCD

TL;DR

This paper presents a high-precision calculation of Higgs boson pair production at N$^3$LO QCD, significantly reducing theoretical uncertainties and improving understanding of the Higgs potential.

Contribution

It provides the first N$^3$LO QCD correction calculation for Higgs pair production, incorporating finite top mass effects with improved convergence and reduced scale uncertainty.

Findings

Perturbative convergence at $ ext{O}( ext{α}_s^5)$ is very good.

Remaining scale uncertainty is only at percent level.

Finite top mass effects are effectively incorporated.

Abstract

Understanding the Higgs potential by measuring its self-interactions is fundamental in answering several big questions, such as electroweak symmetry breaking, electroweak baryogenesis, electroweak phase transition, and electroweak vacuum stability. The most promising way to probe the Higgs potential is to detect Higgs boson pair final state at high-energy colliders. In this talk, we report a recent perturbative calculation for the di-Higgs gluon-fusion process by taking into account N$^3$LO QCD radiative corrections in the approximation of infinite top quark mass limit. Finite top quark mass effects are also incorporated with several approximate schemes, which are known to be crucial in phenomenological applications. We show a very good asymptotic perturbative convergence at $\mathcal{O}(\alpha_s^5)$, and demonstrate that the remaining scale uncertainty is only at percent level.