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Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Quark Channels

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arxiv 2311.18752 v2 pith:YLZMISIF submitted 2023-11-30 hep-ph hep-th

Giuseppe De Laurentis , Harald Ita , Vasily Sotnikov This is my paper · ORCID
classification hep-phhep-th
keywords correctionsquarkamplitudesanalyticappendixapplicationsapproximationbeyond
verification ladder T0 review T1 audit T2 compute T3 formal
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We complete the computation of two-loop helicity amplitudes required to obtain next-to-next-to-leading order QCD corrections for three-jet production at hadron colliders, including all contributions beyond the leading-color approximation. The analytic expressions are reconstructed from finite-field samples obtained with the numerical unitarity method. We find that the reconstruction is significantly facilitated by exploiting the overlaps between rational coefficient functions of quark and gluon processes, and we display their compact generating sets in the appendix of the paper. We implement our results in a public code, and demonstrate its suitability for phenomenological applications.

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Cited by 4 Pith papers

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

  1. Analytic two-loop amplitudes for $q\bar{q}\to \gamma \gamma$ and $gg \to \gamma \gamma$ mediated by a heavy-quark loop

    hep-ph 2025-01 accept novelty 8.0 of 10

    The two-loop amplitudes for q qbar -> gamma gamma and gg -> gamma gamma with a heavy-quark loop are computed analytically in terms of elliptic iterated integrals, with validated fast series expansions for numerical ev...

  2. 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.

  3. Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes

    hep-ph 2026-03 accept novelty 7.0 of 10

    First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.

  4. QCD Scattering Amplitudes and Prescriptive Unitarity

    hep-th 2026-02 conditional novelty 7.0 of 10

    The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.

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