Paper Citation Record · LEDGER

Four-loop strong coupling beta-function in the Standard Model

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:1508.02680.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1508.02680 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:25:00.328425Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T15:29:38.703125Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9028d504-0839-4b02-a9c8-721466a55cae · inbound

Low-energy effective field theory below the electroweak scale: matching at one loop cites this paper.

Low-energy effective field theory below the electroweak scale: matching at one loop Four-loop strong coupling beta-function in the Standard Model

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-14T13:25:00.328425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c0f28eb-35b2-470b-9e86-d203099b8d8e · inbound

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

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Four-loop strong coupling beta-function in the Standard Model

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T15:29:14.815639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0486758-cc6e-4222-b02f-e12c9de98f3a · inbound

Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme cites this paper.

Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme Four-loop strong coupling beta-function in the Standard Model

Reference 16

Resolution: malformed identifier; no resolver link, observed 2026-08-07T01:04:09.706260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c00dfecd-f1fb-45a0-a52f-e9abe0ebfda5 · inbound

Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme cites this paper.

Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme Four-loop strong coupling beta-function in the Standard Model

Reference 93

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:29:38.745791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation aafd1959-a2d8-4b14-a426-6efa74e94471 · inbound

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

Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model Four-loop strong coupling beta-function in the Standard Model

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T07:03:31.668050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9c1b2bb-b74b-4d38-a1df-9f40c3f7b718 · inbound

Bare effective potential and Goldstone boson anti-resummation cites this paper.

Bare effective potential and Goldstone boson anti-resummation Four-loop strong coupling beta-function in the Standard Model

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-08T00:29:35.774335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.