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Higgs boson pair production via gluon fusion at N$^3$LO in QCD

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arxiv 1909.06808 v2 pith:FPTFOHMP submitted 2019-09-15 hep-ph hep-ex

Long-Bin Chen , Hai Tao Li , Hua-Sheng Shao , Jian Wang This is my paper
classification hep-ph hep-ex
keywords bosonhiggsmasspairscalecorrectionscrossdistribution
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present next-to-next-to-next-to-leading order (N$^3$LO) QCD predictions for the Higgs boson pair production via gluon fusion at hadron colliders in the infinite top-quark mass limit. Besides the inclusive total cross sections at various collision energies, we also provide the invariant mass distribution of the Higgs boson pair. Our results show that the N$^3$LO QCD corrections enhance the next-to-next-to-leading order cross section by $3.0\%$ ($2.7\%$) at $\sqrt{s}=13~(100)$ TeV, while the scale uncertainty is reduced substantially below $3\%$ ($2\%$). We also find that a judicious scale choice can significantly improve the perturbative convergence. For the invariant mass distribution, our calculation demonstrates that the N$^3$LO corrections improve the scale dependence but almost do not change the shape.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  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. Electroweak corrections to Higgs boson pair production: The quark channel

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    Mixed QCD-EW corrections to qqbar -> HH computed analytically via differential equations, matched to large-mass limit, implemented in POWHEG-BOX, showing up to +10% effect on invariant mass distribution near threshold.

  3. NNLO+PS Higgs-pair production in MiNNLOPS

    hep-ph 2026-06 conditional novelty 7.0 of 10

    NNLO+PS matching for gluon-fusion Higgs pair production is implemented in MiNNLOPS with approximate top-mass effects, validated against fixed-order NNLO and compared to GENEVA, with results for decay channels and tril...

  4. 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%.

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