Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:29:14.934143Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2501.14087.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:29:14.934143Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T15:49:44.768801Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T15:49:45.819546Z
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6b417ebe-c30a-404c-b0da-94728fd9fab0 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations ’t Hooft and M.J.G
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 5df36168-81b8-400e-a810-4de367a9768d · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Jarlskog, Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP Nonconservation , Phys
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 885c9eff-a68b-4354-828c-3b0ba1d91368 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Theory and phenomenology of two-Higgs-doublet models
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71f4fa22-e7c1-4a32-b6cd-4afec6fd33d3 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Building and testing models with extended Higgs sectors
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3e244b7-6bbd-40c5-a874-20bdf3135cae · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Jarlskog-like invariants for theories with scalars and fermions
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation caf4edef-b454-44dd-9e5b-3906f273f991 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Basis-independent methods for the two-Higgs-doublet model
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be88305a-18ca-4fd9-ad53-c816b528c155 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Algebraic Structure of Lepton and Quark Flavor Invariants and CP Violation
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c9ed21d-5d70-4af0-ac46-5a295674bcb2 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Hilbert Series for Flavor Invariants of the Standard Model
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a69f37f2-29dd-42a7-8ba7-1f3b6def42f6 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Systematic construction of basis invariants in the 2HDM
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11617f81-c727-4097-8599-69c6b8cc659d · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations A fully basis invariant Symmetry Map of the 2HDM
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a449aa8-1348-484c-9cd6-87bd7081838e · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations The Basis Invariant Flavor Puzzle
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96fa6195-852b-4638-9933-7af540b925bf · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Two-Higgs-doublet model from the group-theoretic perspective
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bb61230-32f3-42dd-b8dc-901f231d9bb0 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations On three-loop RGE for the Higgs sector of 2HDM
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bad39257-5afd-44c4-881e-553a86f2a91d · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0eda16e-b3c7-42cf-83e0-3fc0b76f54bc · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Seven loops $\phi^4$
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 252d99de-d346-4c82-b74c-81cf6f13cef8 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Five-Loop Running of the QCD coupling constant
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a27cbb55-062a-4418-9d4a-a5a184a27518 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Five-loop renormalisation of QCD in covariant gauges
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7343e3c2-2c14-4ab5-86a6-76f1232e93d1 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be5d9687-8009-4a3d-b11d-e995b88f3be6 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Gauge Coupling Beta Functions in the Standard Model to Three Loops
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a044634b-e167-4009-becb-7ce2dc1e5226 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c519eb8f-b861-42fc-9074-9d1702b82c27 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Yukawa coupling beta-functions in the Standard Model at three loops
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 747d232a-cc5a-4820-b3a7-b8e65b6ecc12 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations \beta-function for the Higgs self-interaction in the Standard Model at three-loop level
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a89cc275-dbca-4091-a66f-d9001d63f4a2 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Three-loop SM beta-functions for matrix Yukawa couplings
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c0f28eb-35b2-470b-9e86-d203099b8d8e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2fb42cd-35a3-4779-8ec7-84ff512b1c3c · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60982a18-cadc-41e3-9dca-8ee39f04bd80 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Leading QCD-induced four-loop contributions to the $\beta$-function of the Higgs self-coupling in the SM and vacuum stability
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2461d2f7-b3a9-4019-8c29-1deb86e43783 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc2f038c-f4a3-4350-b04f-5b377b882572 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Constraints on RG Flow for Four Dimensional Quantum Field Theories
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 474b75e0-2a14-4231-a1f2-e9c91dbaf814 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Weyl Consistency Conditions and $\gamma_{5}$
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5692bef-8a4d-4de0-9b2c-3365daab9456 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66ad9c2c-bfbb-487d-8c5c-cafe4ffac133 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations General Quartic $\beta$-Function at Three Loops
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e021392c-97b7-4da3-b025-ddb0d7b3bdc7 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations ARGES -- Advanced Renormalisation Group Equation Simplifier
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d262ae1d-ce98-485b-a749-504744e16774 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \beta $-Functions
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cda7ee8-afb2-43d0-bd18-1a6187d7c910 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 75576e9c-eb24-4c30-87b9-9f6a9ff63440 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0b8e0c5-ea81-4dc4-9f4a-35eae5ee8e85 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Six-loop beta functions in general scalar theory
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c477b6dd-d474-4d55-a355-0dbb84fefe68 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7dcd8b50-2e6b-4025-b3af-08879fc1bcae · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Derksen and G
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f9b9bb44-6050-4606-ab46-08355146d717 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations The invariant space of multi-Higgs doublet models
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0f3b033-efd6-4721-ae01-1c2fbc1ab453 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Macaulay2, a software system for research in algebraic geometry
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3b4b4a9f-9c8f-4cef-b240-0edca22abdab · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fc46f47-0261-4cbd-a2ef-f03d2a1dd108 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Counting Gauge Invariants: the Plethystic Program
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b24479a0-e39f-453b-8974-1acc8f9379f8 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations The Hilbert Series of Adjoint SQCD
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d8fa11a6-2055-4923-a1af-456512fd4666 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1b3e24b-5621-4eed-86d7-71ed40b3ae49 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Lorentz and permutation invariants of particles I
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8f14dc6f-05f2-4cc2-aaf2-d758d5e81732 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Flavor Invariants and Renormalization-group Equations in the Leptonic Sector with Massive Majorana Neutrinos
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4a79d7e-607e-49ba-ad20-7e66f420b974 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Hilbert Series for Leptonic Flavor Invariants in the Minimal Seesaw Model
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f8969f4-e5ff-4872-b659-3754c8f0af82 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations CP violation and flavor invariants in the seesaw effective field theory
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de4984ad-6792-426b-b0b2-dd3c573a42ca · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Singular 4-4-0 — A computer algebra system for polynomial computations
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 00dce6b2-d780-4fd5-a7f8-2999ee653d4b · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Mathematica, Version 13.2
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c3c313cc-73d4-4e9d-954e-5ffa5a3bd4c6 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Lewis, “Fermat.” Available at https://home.bway.net/lewis
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4645b103-5f40-4186-ae83-b86d4a703ba0 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations New Symmetries of the Two-Higgs-Doublet Model
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df4f0ad9-61b1-4597-bbc5-e391cb1f1a13 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Can CP be conserved in the two-Higgs-doublet model?
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59b9a087-aaef-4183-b6f3-d3235c82b962 · outbound
On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Is the real two-Higgs-doublet model consistent?
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f4f37e2-1f41-47d9-80f5-b8d7317dcd2a · inbound
GOOFy-compatible 3HDMs and beyond On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.