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Two-loop amplitudes for $\mathcal{O}(\alpha_s^2)$ corrections to $W\gamma\gamma$ production at the LHC

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arxiv 2409.08146 v2 pith:7WA5XZKR submitted 2024-09-12 hep-ph

classification hep-ph
keywords amplitudestwo-loopcolourcompactgammaproductionallowingalpha
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the two-loop helicity amplitudes contributing to the next-to-next-to-leading order QCD predictions for W-boson production in association with two photons at the Large Hadron Collider. We derived compact analytic expressions for the two-loop amplitudes in the leading colour limit, and provide numerical results for the subleading colour contributions. We employ a compact system of integration-by-part identities provided by the NeatIBP package, allowing for an efficient computation of the rational coefficients of the scattering amplitudes over finite fields.

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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. Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour

    hep-ph 2024-12 conditional novelty 8.0 of 10

    The two-loop finite remainders for gg to ttbar g at leading colour are evaluated numerically at one benchmark point, with elliptic functions confined to the finite part.

  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. 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. LINE: Loop Integrals Numerical Evaluation

    hep-ph 2025-01 conditional novelty 5.0 of 10

    LINE numerically evaluates loop master integrals by solving their differential equations with series expansions, with boundary conditions from auxiliary mass flow or expansion by regions.

  6. Formal Theory at ICHEP 2024

    hep-ph 2024-12 unverdicted

    This ICHEP 2024 proceedings paper is a review of selected formal theory highlights and introduces no new results.

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