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The parton-level structure of $e^+e^-$ to 2 jets at N$^3$LO

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arxiv 2211.08446 v2 pith:KWV76P2T submitted 2022-11-15 hep-ph

Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto This is my paper · ORCID
classification hep-ph
keywords alphaphasespaceanalyticallycalculationcancellationcheckchromodynamics
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abstract

We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at $\mathcal{O}(\alpha_s^3)$ in the strong coupling constant $\alpha_s$. Namely, we analytically compute the total cross section for this process by separately integrating the tree-level five-parton, the one-loop four-parton, the two-loop three-parton, and the three-loop two-parton matrix elements over the respective phase space. All the contributions to the calculation are treated in a common framework whereby phase space integrals are expressed as physical cuts of the four-loop two-point function. We check the cancellation of infrared poles at all colour levels and we reproduce the known result for the $R$-ratio at order $\alpha_s^3$.

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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. An Optimal Transportation Approach for Improved Confidence Intervals

    stat.ME 2026-06 unverdicted novelty 6.0 of 10

    Optimal-transport couplings are used to construct confidence intervals that reduce coverage error relative to classical quantile-based intervals, with consistency theory and data-driven hyperparameters.

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