Abstract
We present an estimate of the next-to-leading order QCD corrections to mixed QCD-electroweak contribution to Higgs boson production cross section in gluon fusion, combining the recently computed three-loop virtual corrections and the approximate treatment of real emission in the soft approximation. We find that the NLO QCD corrections to mixed QCD-electroweak contributions are nearly identical to NLO QCD corrections to QCD Higgs production. Our result confirms an earlier estimate of these ${\cal O}\left( \alpha\, \alpha_s^2 \right)$ effects in arXiv:0811.3458 [hep-ph] and provides further support for the factorization approximation of QCD and electroweak corrections.
Highlights
Higgs boson production in gluon fusion is one of the central observables in Higgs physics at the LHC
Given the importance of Higgs boson production in gluon fusion, in recent years its description by particle theorists has been provided with ever increasing accuracy
The original computations of the Higgs boson production cross section in gluon fusion at leading (LO) [1], next-toleading (NLO) [2,3,4], and next-to-next-to-leading order in perturbative QCD [5,6,7] was recently extended to one order higher [8]
Summary
The original computations of the Higgs boson production cross section in gluon fusion at leading (LO) [1], next-toleading (NLO) [2,3,4], and next-to-next-to-leading order in perturbative QCD [5,6,7] was recently extended to one order higher [8]. The truncation of the expansion used to compute the nextto-next-to-next-to-leading-order (N3LO) contribution to the gluon fusion cross section, the absence of N3LO parton distribution functions, and the uncertainty in the value of NLO QCD corrections to the so-called mixed QCD-electroweak (QCD-EW) contribution to Higgs-gluon coupling.
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