On the Higgs boson pair production at the LHC

TL;DR

This paper calculates the Higgs boson pair production cross section at the LHC with next-to-leading order QCD corrections, including inverse top mass power corrections, revealing their significance for accurate phenomenology.

Contribution

It provides the first detailed calculation of power corrections up to ${ m O}(1/M_t^8)$ and shows how to improve convergence of the $1/M_t$ expansion for double Higgs production.

Findings

Power corrections are significant even at moderate energies.

Factorizing the LO cross section with full $M_t$ dependence improves convergence.

The results impact precise predictions for Higgs pair production.

Abstract

We compute the production cross section of a pair of Standard Model Higgs bosons at the LHC at next-to-leading order in QCD, including corrections in inverse powers of the top quark mass. We calculate these power corrections through ${\cal O}(1/M_t^8)$ and study their relevance for phenomenology of the double Higgs production. We find that power corrections are significant, even for moderate values of partonic center-of-mass energies, and that convergence of the $1/M_t$ expansion can be dramatically improved by factorizing the leading order cross section with full $M_t$-dependence.