Pith. sign in

REVIEW 3 cited by

General Quartic $\beta$-Function at Three Loops

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2408.05267 v1 pith:CYTMQBAP submitted 2024-08-09 hep-ph

Tom Steudtner , Anders Eller Thomsen This is my paper · ORCID
classification hep-ph
keywords betafunctiongeneralfunctionsquartictheoriesthree-loopavailable
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We determine the three-loop $\overline{\text{MS}}$ quartic $ \beta $-function for the most general renormalisable four-dimensional theories. A general parametrization of the $ \beta $-function is compared to known $ \beta $-functions for specific theories to fix all coefficients. Three-loop $ \beta $-functions for the cubic coupling and scalar mass terms also follow from the result, which is made available in software packages.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. Gradient RG Flow in Scalar-Fermion QFTs

    hep-th 2025-11 conditional novelty 7.0 of 10

    RG flow in scalar-fermion theories is gradient through four loops only when the 'beta shift' is included, via over a thousand scheme-independent constraints that hold wherever current data allow a check.

  2. On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Six-loop renormalization-group equations for the 22 basis invariants of the 2HDM scalar potential are derived with invariant theory and Groebner bases, including the 63 minimal syzygies.

  3. Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Four-loop Standard Model gauge beta functions are confirmed by a direct Feynman-diagram calculation, and four-loop gauge-field anomalous dimensions are computed for the first time.

Pith tools