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Helicity amplitudes for QCD with massive quarks

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arxiv 1802.06730 v3 pith:KESO5M3E submitted 2018-02-19 hep-ph hep-th

classification hep-phhep-th
keywords amplitudesquarkmassivegluonshelicityhuangquarksspin
verification ladder T0 review T1 audit T2 compute T3 formal

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The novel massive spinor-helicity formalism of Arkani-Hamed, Huang and Huang provides an elegant way to calculate scattering amplitudes in quantum chromodynamics for arbitrary quark spin projections. In this note we compute two families of tree-level QCD amplitudes with one massive quark pair and n-2 gluons. The two cases include all gluons with identical helicity and one opposite-helicity gluon being color-adjacent to one of the quarks. Our results naturally incorporate the previously known amplitudes for both quark spins quantized along one of the gluonic momenta. In the all-multiplicity formulae presented here the spin quantization axes can be tuned at will, which includes the case of the definite-helicity quark states.

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Cited by 5 Pith papers

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

  1. Massive Helicity-Chirality Spinor Formalism from Massless Amplitudes with On-shell Mass Insertion

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    A new helicity-chirality spinor basis with a 'transversality' charge claims a one-to-one UV-IR correspondence between massive amplitudes and massless amplitudes with Higgs insertions, and reproduces pion decay, top de...

  2. Analytic reconstruction with massive particles: one-loop amplitudes for $0 \to \bar{q}qt\bar{t}H$

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    First analytic reconstruction of the one-loop amplitude for 0 to anti-q, q, top, anti-top, Higgs using massive spinor-helicity, with expressions about twice as fast as the automatic code OpenLoops.

  3. NLP threshold corrections to W+jet production

    hep-ph 2025-10 unverdicted novelty 5.0 of 10

    Computes helicity-dependent NLP leading logs in W+jet production via spinor shifts and soft quark operators, confirming agreement with a universal NLP structure for massive colourless final states plus jet.

  4. An Efficient On-shell Framework for EFT Matching

    hep-ph 2025-07 conditional novelty 5.0 of 10

    A d-dimensional unitarity-sewing workflow for one-loop EFT matching that assigns rational terms to their parent scalar integrals and extracts Wilson coefficients in non-redundant on-shell bases.

  5. Compton amplitude and Contact term(s) in the Spinor Helicity formalism

    hep-th 2025-06 conditional novelty 5.0 of 10

    Reference-vector independence fixes the contact term in the tree-level electromagnetic Compton amplitude for arbitrary-spin massive bosons, yielding a manifestly gauge-invariant spinor-helicity expression without spur...

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