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Single-soft emissions for amplitudes with two colored particles at three loops

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arxiv 2309.07884 v1 pith:GY4JLQSB submitted 2023-09-14 hep-ph hep-th

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

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abstract

We compute the three-loop correction to the universal single-soft emission current for the case of scattering amplitudes with two additional color-charged partons. We present results valid for QCD and $\mathcal{N}=4$ super-symmetric Yang-Mills theory. To achieve our results we develop a new integrand expansion technique for scattering amplitudes in the presence of soft emissions. Furthermore, we obtain contributions from single final-state parton matrix elements to the Higgs boson and Drell-Yan production cross section at next-to-next-to-next-to-next-to leading order (N$^4$LO) in perturbative QCD in the threshold limit.

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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. Dissecting Exclusive Multijet Cross Sections

    hep-ph 2025-09 conditional novelty 7.0 of 10

    A general leading-power factorization framework for exclusive multijet resolution variables, with a new rapidity regulator and an all-order factorizing k_T-ness variable.

  2. Non-abelian soft radiation data for a celestial theory

    hep-th 2025-12 conditional novelty 6.0 of 10

    Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...

  3. Tree-level soft emission for two pairs of quarks

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Two-pair soft quark current is derived at tree level, and its square reduces to double-dipole, dipole, and triple-color correlations.

  4. Identifying regions for asymptotic expansions of amplitudes: fundamentals and recent advances

    hep-ph 2025-05 conditional novelty 4.0 of 10

    A review of region identification in the method of regions, classifying regions into facet and hidden types and presenting recent all-loop results and conjectures.

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