Higgs boson pair production via gluon fusion at N3LO in QCD

Long-Bin Chen,Hai Tao Li,Hua-Sheng Shao,Jian Wang

doi:10.1016/j.physletb.2020.135292

Abstract

We present next-to-next-to-next-to-leading order (N3LO) QCD predictions for the Higgs boson pair production via gluon fusion at hadron colliders in the infinite top-quark mass limit. Besides the inclusive total cross sections at various collision energies, we also provide the invariant mass distribution of the Higgs boson pair. Our results show that the N3LO QCD corrections enhance the next-to-next-to-leading order cross section by 3.0% (2.7%) at s=13(100)TeV, while the scale uncertainty is reduced substantially below 3% (2%). We also find that a judicious scale choice can significantly improve the perturbative convergence. For the invariant mass distribution, our calculation demonstrates that the N3LO corrections improve the scale dependence but almost do not change the shape.

Highlights

The discovery of the Higgs boson [1, 2] marks the completion of the standard model (SM) of particle physics and the start of a new era for the physics studies at the LHC
In this Letter, we provide the first next-to-next-tonext-to-leading order (N3LO) perturbative QCD predictions for the Higgs boson pair production via gluon fusion at hadron colliders in the infinite top-quark mass limit
The default central scale is chosen to be the invariant mass of the Higgs pair divided by 2, i.e. μ0 = mhh/2, and the scale uncertainty is evaluated through the 9-point variation of the factorization scale μF and the renormalization scale μR in the form of μR,F = ξR,F μ0 with ξR, ξF ∈ {0.5, 1, 2}

Summary

INTRODUCTION

The discovery of the Higgs boson [1, 2] marks the completion of the standard model (SM) of particle physics and the start of a new era for the physics studies at the LHC. In this Letter, we provide the first next-to-next-tonext-to-leading order (N3LO) perturbative QCD predictions for the Higgs boson pair production via gluon fusion at hadron colliders in the infinite top-quark mass limit This result becomes one of a few highest-precision computations for scattering processes relevant at the LHC. We have reproduced the cross section of a single Higgs boson production up to NNLO in iHixs by using our program This agreement can check our implementations of the two-loop beam and soft functions, as well as the calculation of one-loop amplitudes with one effective vertex. We have calculated the NLO and NNLO corrections to Higgs pair production in the infinite top-quark mass limit, and found agreement with HPair2 [15, 16] and Ref.[21], respectively This helps to check Eq(3) and our calculation of one-loop amplitudes with two effective vertices.

NUMERICAL RESULTS

27 TeV 100 TeV

CONCLUSIONS