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The Path forward to N$^3$LO

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arxiv 2203.06730 v1 pith:7O5NPXG6 submitted 2022-03-13 hep-ph

Fabrizio Caola , Wen Chen , Claude Duhr , Xiaohui Liu , Bernhard Mistlberger , Frank Petriello , Gherardo Vita , Stefan Weinzierl This is my paper · ORCID
classification hep-ph
keywords describemeasurementsphysicsprecisionachievebeyondbosoncapability
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abstract

The LHC experiments will achieve percent level precision measurements of processes key to some of the most pressing questions of contemporary particle physics: What is the nature of the Higgs boson? Can we successfully describe the interaction of fundamental particles at high energies? Is there physics beyond the Standard Model at the LHC? The capability to predict and describe such observables at next-to-next-to-next-to-leading order (N$^3$LO) in QCD perturbation theory is paramount to fully exploit these experimental measurements. We describe the current status of N$^3$LO predictions and highlight their importance in the upcoming precision phase of the LHC. Furthermore, we identify key conceptual and mathematical developments necessary to see wide-spread N$^3$LO phenomenology come to fruition.

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Forward citations

Cited by 6 Pith papers

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

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

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  4. All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders

    hep-ph 2025-12 accept novelty 6.0 of 10

    All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...

  5. LINE: Loop Integrals Numerical Evaluation

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    hep-ph 2025-05 conditional novelty 4.0 of 10

    Using the latest N3LO splitting functions and heavy-quark matrix elements in both MSHT20 and NNPDF4.0 approximate N3LO fits changes Higgs cross sections by less than about 0.5%, leaving the published combined PDFs reliable.

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