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On the high-energy behavior of massive QCD amplitudes

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arxiv 2312.12242 v1 pith:YWHURHB4 submitted 2023-12-19 hep-ph

classification hep-ph
keywords amplitudesformulamassiveresultshigh-energyloopsscatteringused
verification ladder T0 review T1 audit T2 compute T3 formal
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In this note, we propose a factorization formula for gauge-theory scattering amplitudes up to two loops in the high-energy boosted limit. Our formula extends existing results in the literature by incorporating the contributions from massive loops. We derive the new ingredients in our formula using the method of regions with analytic regulators for the rapidity divergences. We verify our results with various form factors and the scattering amplitudes for top-quark pair production. Our results can be used to obtain approximate expressions for complicated two-loop massive amplitudes from simpler massless ones, and can be used to resum the mass logarithms to all orders in the coupling constant.

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Forward citations

Cited by 6 Pith papers

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

  1. Towards NNLO QCD predictions for off-shell top-quark pair production and decays

    hep-ph 2025-07 conditional novelty 8.0 of 10

    The first NNLO QCD prediction for off-shell W+W-bbbar production with massive bottom quarks at the LHC, using a double-pole approximation for the two-loop virtual and an on-shell matching for non-factorisable corrections.

  2. Precise predictions for $t \bar t H$ production at the LHC: inclusive cross section and differential distributions

    hep-ph 2024-11 accept novelty 8.0 of 10

    First fully differential NNLO QCD predictions for ttH production at the LHC, with the missing two-loop virtual part estimated by two complementary approximations and merged with NLO electroweak corrections.

  3. The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The leading-power mass logarithms in high-energy gg to HH are shown to originate solely from top-quark mass renormalization, enabling a resummation that sharply reduces the mass-scheme uncertainty of the virtual amplitude.

  4. Higgs boson production in association with massive bottom quarks at NNLO+PS

    hep-ph 2024-12 conditional novelty 7.0 of 10

    First NNLO+PS event generator for b-bbar-H production with massive bottom quarks in the four-flavour scheme, showing NNLO corrections resolve the 4FS/5FS tension.

  5. Random Reshuffling-Based Distributed Nash Equilibrium Seeking

    math.OC 2026-04 unverdicted novelty 6.0 of 10

    Random reshuffling yields distributed Nash-seeking algorithms that, under partial decision information, converge linearly to a neighborhood (constant steps) or exactly a.s./in mean square (diminishing steps), outperfo...

  6. Next-to-next-to-leading order event generation for $t\bar{t}H$ production with approximate two-loop amplitude

    hep-ph 2026-03 conditional novelty 6.0 of 10

    First NNLO+PS (MiNNLOPS) generator for ttH production, combining soft-Higgs and high-energy approximate two-loop amplitudes pointwise, with one-loop-level validation.

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