Abstract
We present a fully differential next-to-next-to-leading order calculation of the Higgs pair production in association with a $Z$ boson, which is important for probing the trilinear Higgs self-coupling. The next-to-next-to-leading-order corrections enhance the next-to-leading order total cross sections by a factor of $1.2\sim 1.5$, depending on the collider energy, and change the shape of next-to-leading order kinematic distributions. We discuss how to determine the trilinear Higgs self-coupling using our results.
Highlights
The discovery of the Higgs boson at the LHC [1,2] is a milestone toward understanding the mechanism of electroweak symmetry breaking
We report the first fully differential next-to-next-to-leading order (NNLO) quantum chromodynamics (QCD) calculation of the Higgs pair production in association with a Z boson, which is important for probing the trilinear Higgs self-coupling at the LHC or future high-energy hadron colliders
We have presented complete NNLO QCD predictions for the total and differential cross sections of Zhh production at hadron colliders using the transverse momentum subtraction method
Summary
The discovery of the Higgs boson at the LHC [1,2] is a milestone toward understanding the mechanism of electroweak symmetry breaking. The step is to measure these couplings more precisely and to probe its self-couplings, which is mandatory to clarify the Higgs potential, and electroweak symmetry breaking mechanism. This is one of the main tasks of the LHC [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20] and a future 100 TeV hadron collider [21,22,23,24,25,26]. The dominant production channel at a hadron collider is the gluon-gluon
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