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Two-loop leading colour helicity amplitudes for $W^\pm\gamma+j$ production at the LHC

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arxiv 2201.04075 v1 pith:Q5QPC26Y submitted 2022-01-11 hep-ph hep-th

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

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abstract

We present the two-loop leading colour QCD helicity amplitudes for the process $pp\to W(\to l\nu)\gamma+j$. We implement a complete reduction of the amplitudes, including the leptonic decay of the $W$-boson, using finite field arithmetic, and extract the analytic finite remainders using a recently identified basis of special functions. Simplified analytic expressions are obtained after considering permutations of a rational kinematic parametrisation and multivariate partial fractioning. We demonstrate efficient numerical evaluation of the two-loop colour and helicity summed finite remainders for physical kinematics, and hence the suitability for phenomenological applications.

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Cited by 7 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. Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC

    hep-ph 2024-12 accept novelty 8.0 of 10

    First analytic full-color two-loop five-particle amplitudes for associated Higgs-plus-bottom-quark-pair production at the LHC, with public C++ implementation.

  3. 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.

  4. 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.

  5. An analytic result for the $0 \to ggHHH$ amplitude

    hep-ph 2025-07 conditional novelty 7.0 of 10

    The authors present the complete leading-order one-loop amplitude for gg to HHH in closed analytic form, with full top and bottom quark mass dependence, validated against two independent numerical programs.

  6. 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.

  7. Novel cluster-algebraic letters for 5- and 6-point QCD processes

    hep-th 2026-03 conditional novelty 6.0 of 10

    Candidate symbol alphabets for 5- and 6-point QCD processes are derived from the 9-particle N=4 super Yang-Mills cluster algebra, including new nested square-root letters.

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