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Higgs Boson Production at Hadron Colliders at N3LO in QCD

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arxiv 1802.00833 v1 pith:OIKZINTP submitted 2018-02-02 hep-ph hep-th

classification hep-phhep-th
keywords crosssectionbosonhiggshadronproductionresultn3lo
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the Higgs boson production cross section at Hadron colliders in the gluon fusion production mode through N3LO in perturbative QCD. Specifically, we work in an effective theory where the top quark is assumed to be infinitely heavy and all other quarks are considered to be massless. Our result is the first exact formula for a partonic hadron collider cross section at N3LO in perturbative QCD. Furthermore, this result represents the first analytic computation of a hadron collider cross section involving elliptic integrals. We derive numerical predictions for the Higgs boson cross section at the LHC. Previously this result was approximated by an expansion of the cross section around the production threshold of the Higgs boson and we compare our findings. Finally, we study the impact of our new result on the state of the art prediction for the Higgs boson cross section at the LHC.

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Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 222 citations worldwide. Full citation record

  1. Boosted Higgs-strahlung off a $W$ boson at next-to-next-to-next-to-leading order in QCD

    hep-ph 2026-06 unverdicted novelty 9.0 of 10

    First N³LO QCD prediction for boosted WH production yields +2% corrections with sub-percent residual scale dependence.

  2. Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects

    hep-ph 2026-01 conditional novelty 7.0 of 10

    First fully differential N3LO QCD predictions for gg->hh in the heavy-top limit, with NLO top-mass effects added; heavy-top scale uncertainty shrinks about 3x, to roughly 1-3%.

  3. Heavy Jet Mass in Hadronic Higgs Decays

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Heavy jet mass in hadronic Higgs decays is predicted at N³LL′ (dijet) plus NNLL (Sudakov shoulder) plus NNLO, with new analytic trijet-region logarithms for H→gg and H→q̄q.

  4. Interference effects in gluon-fusion Higgs boson production

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Higher-order perturbative calculations find destructive signal-background interference in gg to H to gamma gamma and Z gamma, lowering the resonant production rate by approximately 1.6% and 3%.

  5. QCD for electroweak precision measurements: Foundations

    hep-ph 2026-07 accept novelty 1.0 of 10

    QCD collinear factorization, DGLAP evolution, and QT resummation, developed via DIS and Drell-Yan, form the calculational foundation for precision electroweak observables and new-physics searches.

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