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Gluon Fusion Production at NLO: Merging the Transverse Momentum and the High-Energy Expansions

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arxiv 2202.12157 v1 pith:7KCSVUAF submitted 2022-02-24 hep-ph

classification hep-ph
keywords expansionresultsavailablecorrectionsexpansionsmassmomentumquark
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The virtual corrections to $gg\to HH$ and $gg\to ZH$ are analytically evaluated combining an expansion in the small transverse momentum of the final particles with an expansion valid at high energies. The two expansion methods describe complementary regions of the phase space and we merge their results, extending the range of validity of both expansions using Pad\'e approximants. We show that this approach can reproduce the available numerical results retaining the exact top quark mass dependence with an accuracy well below the 1% level. Our results allow a fast and flexible evaluation of the virtual corrections of the considered processes. Furthermore, they are available in different renormalisation schemes of the top quark mass.

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Forward citations

Cited by 3 Pith papers

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

  1. 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%.

  2. Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper provides fast, analytic two-loop virtual QCD corrections for gluon-induced ZH and off-shell ZZ production with full top-quark mass dependence, validated against numerical results at the sub-percent level.

  3. {\tt ggxy}: a flexible library to compute gluon-induced cross sections

    hep-ph 2025-06 accept novelty 4.0 of 10

    A new software library, ggxy, computes NLO QCD cross sections for gg to HH and reproduces previous exact results with much shorter runtimes.

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