Abstract
Theoretical predictions with next-to-next-to-leading order (NNLO) QCD accuracy combined with the next-to-leading order (NLO) electroweak (EW) corrections are presented for differential observables of the double-Higgs production process via vector-boson fusion. While the QCD corrections were previously known, the EW ones are computed here for the first time. The numerical results are obtained for a realistic experimental set-up at the LHC and are presented in the form of fiducial cross sections and differential distributions. Within this setup we find that the VBF approximation employed in the NNLO QCD correction is accurate at the sub-percent level. We find that the NLO EW corrections within the fiducial volume are -,6.1%, making them of almost the same order as the NLO QCD corrections. In some kinematic regions they can grow as large as -,30% making them the dominant radiative corrections. When the EW corrections are combined with the NNLO QCD corrections we find a total correction of -,14.8%. The results presented here thus comprise the state-of-the-art theoretical predicition for the double-Higgs production via vector-boson fusion, which will be of value to the high-luminosity programme at the LHC.
Highlights
The production of two Higgs bosons via vector-boson at the sub-percent level
In VBF, rections are combined with the next-to-next-to-leading order (NNLO) QCD corrections we the Higgs bosons are produced at leading order from heavy find a total correction of − 14.8%
Given that the QCD corrections have already been presented in Ref. [26,27], the discussion focuses more on their combination with the EW
Summary
The production of two Higgs bosons via vector-boson at the sub-percent level. We find that the NLO EW correc- fusion (VBF) i.e. pp → HHjj is a important protions within the fiducial volume are − 6.1%, making them of cess for the determination of the triple-Higgs coupling [17]. In VBF, rections are combined with the NNLO QCD corrections we the Higgs bosons are produced at leading order from heavy find a total correction of − 14.8%. [26,27], it has been shown that only NNLO QCD corrections provide reliable predictions at the differential level.
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