Abstract
We present a precise and efficient computation of the two-loop amplitudes entering the Higgs boson pair production process via gluon fusion. Our approach is based on the small-Higgs-mass expansion while keeping the full dependence on the top quark mass and other kinematic invariants. We compare our results to the up-to-date predictions based on a combination of sector decomposition and high-energy expansion. We find that our method provides precision numeric predictions in the entire phase space, while at the same time is highly efficient as the computation can be easily performed on a normal desktop or laptop computer. Our method is valuable for practical phenomenological studies of the Higgs boson pair production process, and can also be applied to other similar processes.
Highlights
Higgs boson pair production via gluon fusion is one of the most important scattering processes yet to be discovered at the Large Hadron Collider (LHC)
We find that our method provides precision numeric predictions in the entire phase space, while at the same time is highly efficient as the computation can be performed on a normal desktop or laptop computer
We show that our method provides accurate numeric predictions for the two-loop amplitudes in the entire physical phase space
Summary
Higgs boson pair production via gluon fusion is one of the most important scattering processes yet to be discovered at the Large Hadron Collider (LHC). It provides information on the Higgs trilinear self-coupling (which is an important parameter in the Higgs potential, relevant for electroweak symmetry breaking and vacuum stability), or more generically, on the Wilson coefficients of the relevant effective operators encoding physics at higher scales beyond the standard model (SM) [1,2,3,4]. Precision theoretical predictions for this process (both within the SM and within the effective field theory of beyond-the-SM physics) are highly important for a future extraction of this crucial information from experimental measurements of the differential cross sections.
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