Abstract
The impact of the finite top-quark mass on the inclusive Higgs production cross section at higher perturbative orders has been an open question for almost three decades. In this Letter, we report on the computation of this effect at next-to-next-to-leading order QCD. For the purely gluonic channel, it amounts to +0.62% relative to the result obtained in the Higgs effective field theory approximation. The formally subleading partonic channels overcompensate this shift, leading to an overall effect of -0.26% at a pp collider energy of 13TeV, and -0.1% at 8TeV. This result eliminates one of the main theoretical uncertainties to inclusive Higgs production cross section at the LHC.
Highlights
Introduction.—Gluon fusion is the dominant production process for a standard model (SM) Higgs boson at the Large Hadron Collider (LHC)
It arrives at an overall theoretical uncertainty of about Æ5%, arising from six different sources, each of which contributes roughly 1% [2]
The first one was due to the fact that the nextto-next-to-next-to-leading order (N3LO) QCD corrections were based on their expansion around z ≡ 1 − M2H=s 1⁄4 0 [3], giving rise to an uncertainty from the truncation of this expansion at finite order in z
Summary
Introduction.—Gluon fusion is the dominant production process for a standard model (SM) Higgs boson at the Large Hadron Collider (LHC). Two other sources of uncertainty, namely the missing higher-order terms in both the partonic cross section and the parton density functions (PDFs), will require further technological advances before one can expect significant improvements.
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