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NNLO subtraction for any massless final state: a complete analytic expression

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arxiv 2212.11190 v2 pith:YWSLVNYN submitted 2022-12-21 hep-ph

Gloria Bertolotti , Lorenzo Magnea , Giovanni Pelliccioli , Alessandro Ratti , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati This is my paper · ORCID
classification hep-ph
keywords localsubtractionanalyticinfrarednnlocountertermsfinalintegrated
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We use the Local Analytic Sector Subtraction scheme to construct a completely analytic set of expressions implementing a fully local infrared subtraction at NNLO for generic coloured massless final states. The cancellation of all explicit infrared poles appearing in the double-virtual contribution, in the real-virtual correction and in the integrated local infrared counterterms is explicitly verified, and all finite contributions arising from integrated local counterterms are analytically evaluated in terms of ordinary polylogarithms up to weight three. The resulting subtraction formula can readily be implemented in any numerical framework containing the relevant matrix elements up to NNLO.

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Cited by 3 Pith papers

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

  1. Phase-space sectors for ordered momentum mappings in local subtraction up to N$^3$LO

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A sector decomposition of phase space assigns ordered momentum mappings to antenna functions without partial fractioning, enabling simpler N3LO infrared subtraction.

  2. Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD

    hep-ph 2025-05 conditional novelty 7.0 of 10

    This paper reports the first direct fully differential N3LO QCD calculation of two-jet production in e+e- annihilation, using new antenna subtraction counterterms for triple-unresolved radiation.

  3. Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle

    hep-ph 2025-04 accept novelty 6.0 of 10

    The integrated double-soft eikonal function for a massive and a massless emitter at arbitrary angle is derived analytically and cross-checked with a semi-numerical subtraction method.

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