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Low-Energy Theorems in Higgs Physics

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arxiv hep-ph/9505225 v1 pith:SOPSJH5A submitted 1995-05-03 hep-ph

classification hep-ph
keywords theoremshiggslooplow-energyamplitudesapplicabilityapplicationsbeyond
verification ladder T0 review T1 audit T2 compute T3 formal

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We present low-energy theorems for the calculation of loop amplitudes with external scalar or pseudoscalar Higgs bosons which are light compared to the loop particles. Starting from existing lowest-order versions of these theorems, we show how their applicability may be extended to the two--loop level. To illustrate the usefulness of these theorems, we discuss a number of applications to Higgs production and decay at and beyond the one--loop order.

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Cited by 6 Pith papers

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

  1. 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.

  2. Dyeing form factors as amplitudes

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A dyeing procedure maps form factors to colored amplitudes, recovering the originals by bleaching and explaining double-copy features through standard BCJ relations.

  3. Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.

  4. 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.

  5. Double copy of form factors with multiple operator insertions

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    A dyeing procedure generalizes the double copy to form factors with multiple operator insertions by mapping spurious poles to physical propagators and revealing a new scalar-ordering structure in gravity.

  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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