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Paper Citation Record · LEDGER

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

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.

pith.paper-citation-record.v1
2501.14087 v3

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:29:14.934143Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:49:44.768801Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T15:49:45.819546Z

Reference resolution

54 of 54 outbound references displayed

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  • verified fuzzy6
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External citation measurements

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Outbound references

Observation 6b417ebe-c30a-404c-b0da-94728fd9fab0 · outbound

This paper cites ’t Hooft and M.J.G.

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

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Observation 5df36168-81b8-400e-a810-4de367a9768d · outbound

This paper cites Jarlskog, Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of Maximal CP Nonconservation , Phys.

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

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source=pdf_text observed=2026-08-10T15:29:14.712981Z digest=sha256:5994c18291bcc133e6b52c0a53b1987c3eb55e369eeaedb6e0d50526d39e400f

Observation 885c9eff-a68b-4354-828c-3b0ba1d91368 · outbound

This paper cites Theory and phenomenology of two-Higgs-doublet models.

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

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source=pdf_text observed=2026-08-10T15:29:14.717260Z digest=sha256:f44c31a5374759c34e568fe98d8ded1a606e2ccc8f1433a18ff7e5469f30921d

Observation 71f4fa22-e7c1-4a32-b6cd-4afec6fd33d3 · outbound

This paper cites Building and testing models with extended Higgs sectors.

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

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source=pdf_text observed=2026-08-10T15:29:14.722367Z digest=sha256:4ce3fb8f81149568d6f7d792913a7cf44320c73e01fc2377379af3006ee1a33d

Observation f3e244b7-6bbd-40c5-a874-20bdf3135cae · outbound

This paper cites Jarlskog-like invariants for theories with scalars and fermions.

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

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source=pdf_text observed=2026-08-10T15:29:14.727030Z digest=sha256:13431b5b9fee5bb0e83ca3c88e892b9b0c795dca2e17a18b8fa15ee305a74277

Observation caf4edef-b454-44dd-9e5b-3906f273f991 · outbound

This paper cites Basis-independent methods for the two-Higgs-doublet model.

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

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source=pdf_text observed=2026-08-10T15:29:14.732197Z digest=sha256:6928aac3891ac15274d33237483d4e3d2d6b847ce9c95e05d38338c4dca022fa

Observation be88305a-18ca-4fd9-ad53-c816b528c155 · outbound

This paper cites Algebraic Structure of Lepton and Quark Flavor Invariants and CP Violation.

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

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source=pdf_text observed=2026-08-10T15:29:14.736836Z digest=sha256:3c4c8e661a49f8e7360f65cf94b67f6084a819b5e33f2989a03388bc56dae17c

Observation 5c9ed21d-5d70-4af0-ac46-5a295674bcb2 · outbound

This paper cites Hilbert Series for Flavor Invariants of the Standard Model.

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

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source=pdf_text observed=2026-08-10T15:29:14.742186Z digest=sha256:39b2f29d238018c79843a99bd14c2ce68b14e2e57477f03d45fc2f2216648490

Observation a69f37f2-29dd-42a7-8ba7-1f3b6def42f6 · outbound

This paper cites Systematic construction of basis invariants in the 2HDM.

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

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source=pdf_text observed=2026-08-10T15:29:14.746311Z digest=sha256:df3291708239fcd139133d916752aac00f643b85962097e5fd00d83fdae47ebe

Observation 11617f81-c727-4097-8599-69c6b8cc659d · outbound

This paper cites A fully basis invariant Symmetry Map of the 2HDM.

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

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source=pdf_text observed=2026-08-10T15:29:14.750679Z digest=sha256:ed79b03c7fe34e4a9751333fab047a46dbd77bd3c6af416e2618b645fccbe9cf

Observation 9a449aa8-1348-484c-9cd6-87bd7081838e · outbound

This paper cites The Basis Invariant Flavor Puzzle.

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations The Basis Invariant Flavor Puzzle

Reference 11

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source=pdf_text observed=2026-08-10T15:29:14.755556Z digest=sha256:b80b9d4413389a73eb73725f7aaca7c9bf5d669f867bd7c7d2a8700e70fb5438

Observation 96fa6195-852b-4638-9933-7af540b925bf · outbound

This paper cites Two-Higgs-doublet model from the group-theoretic perspective.

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

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source=pdf_text observed=2026-08-10T15:29:14.760042Z digest=sha256:849a7d0b448fe5f957cd39b30d257229d7d17b128d7381cc6c83d1fb4c15a0fc

Observation 0bb61230-32f3-42dd-b8dc-901f231d9bb0 · outbound

This paper cites On three-loop RGE for the Higgs sector of 2HDM.

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

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source=pdf_text observed=2026-08-10T15:29:14.765964Z digest=sha256:d898c25f7ee4ebb468ea6b4e9fef112e6ef509e282ce95353c8ac281b313b6c0

Observation bad39257-5afd-44c4-881e-553a86f2a91d · outbound

This paper cites Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents.

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

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source=pdf_text observed=2026-08-10T15:29:14.770590Z digest=sha256:97e109e4fbff5242abe6760aec06a41db6474efc2c79199bdfd20bbb36a41d79

Observation b0eda16e-b3c7-42cf-83e0-3fc0b76f54bc · outbound

This paper cites Seven loops $\phi^4$.

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Seven loops $\phi^4$

Reference 15

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source=pdf_text observed=2026-08-10T15:29:14.775376Z digest=sha256:fbfae43db2dbc8e31402fd24de7ec510063a91d43e4e5f7a1550d5f28b7b90d4

Observation 252d99de-d346-4c82-b74c-81cf6f13cef8 · outbound

This paper cites Five-Loop Running of the QCD coupling constant.

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

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source=pdf_text observed=2026-08-10T15:29:14.780508Z digest=sha256:9640b3e3ea4521aa49f3aa776f4c1f08e2c10a0eeb08f3d7dba86632f9cddd4a

Observation a27cbb55-062a-4418-9d4a-a5a184a27518 · outbound

This paper cites Five-loop renormalisation of QCD in covariant gauges.

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

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Observation 7343e3c2-2c14-4ab5-86a6-76f1232e93d1 · outbound

This paper cites The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge.

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

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Observation be5d9687-8009-4a3d-b11d-e995b88f3be6 · outbound

This paper cites Gauge Coupling Beta Functions in the Standard Model to Three Loops.

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

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source=pdf_text observed=2026-08-10T15:29:14.793367Z digest=sha256:10f8a4fd332a0a26a5e6f05872ad462fcc7baf524cbca312d162957fb096b7fc

Observation a044634b-e167-4009-becb-7ce2dc1e5226 · outbound

This paper cites Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order.

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

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source=pdf_text observed=2026-08-10T15:29:14.797519Z digest=sha256:8b91f86b0ec5f21fc0d892f4edc6f439f2e41ff8b9b5f904e7683eb0d8e2e82a

Observation c519eb8f-b861-42fc-9074-9d1702b82c27 · outbound

This paper cites Yukawa coupling beta-functions in the Standard Model at three loops.

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

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source=pdf_text observed=2026-08-10T15:29:14.802332Z digest=sha256:cecb3dea9c03f6f323f0fee51e770511da5ceb0aab94b2c926bc46fed92471ef

Observation 747d232a-cc5a-4820-b3a7-b8e65b6ecc12 · outbound

This paper cites \beta-function for the Higgs self-interaction in the Standard Model at three-loop level.

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

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Observation a89cc275-dbca-4091-a66f-d9001d63f4a2 · outbound

This paper cites Three-loop SM beta-functions for matrix Yukawa couplings.

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

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source=pdf_text observed=2026-08-10T15:29:14.811386Z digest=sha256:82b809fe3dca72d929d76f6592723a32b269d204c3b994c3f41bfdaddd032dfa

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

This paper cites Four-loop strong coupling beta-function in the Standard Model.

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

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source=pdf_text observed=2026-08-10T15:29:14.815639Z digest=sha256:eab04c9c6a314468a02db244de67435cbfc2d5f155e9c6c6fbe03b13b2b3262d

Observation d2fb42cd-35a3-4779-8ec7-84ff512b1c3c · outbound

This paper cites Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level.

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

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source=pdf_text observed=2026-08-10T15:29:14.820583Z digest=sha256:f28b4521598fb0c14d8357d77b3b11a0ec968508f1d3e73baf93846a49b0582c

Observation 60982a18-cadc-41e3-9dca-8ee39f04bd80 · outbound

This paper cites Leading QCD-induced four-loop contributions to the $\beta$-function of the Higgs self-coupling in the SM and vacuum stability.

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

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source=pdf_text observed=2026-08-10T15:29:14.824809Z digest=sha256:ba26fa27fcc725a4054fa74021214543113494e49bba862aa254bb79e72d2df6

Observation 2461d2f7-b3a9-4019-8c29-1deb86e43783 · outbound

This paper cites Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order.

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

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source=pdf_text observed=2026-08-10T15:29:14.829664Z digest=sha256:33f429cd48d52a0a137dfec22623888c51e731a1466c2649338b9b6d72906bc4

Observation dc2f038c-f4a3-4350-b04f-5b377b882572 · outbound

This paper cites Constraints on RG Flow for Four Dimensional Quantum Field Theories.

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

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source=pdf_text observed=2026-08-10T15:29:14.833638Z digest=sha256:260fbfa3c5ab3b4334af2aa3d6595fba712d4f372a455c900b650d58bf6e6033

Observation 474b75e0-2a14-4231-a1f2-e9c91dbaf814 · outbound

This paper cites Weyl Consistency Conditions and $\gamma_{5}$.

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

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source=pdf_text observed=2026-08-10T15:29:14.838484Z digest=sha256:bbd19a5af430903eaa6e04b894e700a887f65a284d08a1969eddb30db894afe0

Observation c5692bef-8a4d-4de0-9b2c-3365daab9456 · outbound

This paper cites Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory.

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

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source=pdf_text observed=2026-08-10T15:29:14.842373Z digest=sha256:61c23d4da540ae967b5a8f2b9f4db6f3aeae32a402d0638576d95764f0bdb0e1

Observation 66ad9c2c-bfbb-487d-8c5c-cafe4ffac133 · outbound

This paper cites General Quartic $\beta$-Function at Three Loops.

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

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verified exact
local_arxiv, observed 2026-08-10T15:29:15.225297Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T15:29:14.845864Z digest=sha256:4cb77ea8c4af51afe8578bb6f310eb3c667876e17d1c1c7af508d512f7eb931d

Observation e021392c-97b7-4da3-b025-ddb0d7b3bdc7 · outbound

This paper cites ARGES -- Advanced Renormalisation Group Equation Simplifier.

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

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source=pdf_text observed=2026-08-10T15:29:14.849224Z digest=sha256:c70d74eeda6c47b790a3e1e22c2481d0a3e2453dc924f61dfbf94ccfb826ef3a

Observation d262ae1d-ce98-485b-a749-504744e16774 · outbound

This paper cites RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \beta $-Functions.

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

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source=pdf_text observed=2026-08-10T15:29:14.852823Z digest=sha256:c13ffd14b11b1db24a23d05768173e1c7bdc44d7ce7b08233e78a2d0ee925f29

Observation 0cda7ee8-afb2-43d0-bd18-1a6187d7c910 · outbound

This paper cites Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory.

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

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source=pdf_text observed=2026-08-10T15:29:14.856514Z digest=sha256:94efb906cb880005a04c7cfb0195b5d7309c6e97a25be2e54d60b2a41960c466

Observation 75576e9c-eb24-4c30-87b9-9f6a9ff63440 · outbound

This paper cites General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order.

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

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.860233Z digest=sha256:6714c07586c48be002e792855f11488506bc2d0d90a1ed6135af6457461f4f4c

Observation b0b8e0c5-ea81-4dc4-9f4a-35eae5ee8e85 · outbound

This paper cites Six-loop beta functions in general scalar theory.

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

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unresolved
no resolver link, observed 2026-08-10T15:29:14.864020Z

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source=pdf_text observed=2026-08-10T15:29:14.864020Z digest=sha256:7764a8a97560ee4a4e85096202e245c0c177e49031cd41abeca4738773fb467d

Observation c477b6dd-d474-4d55-a355-0dbb84fefe68 · outbound

This paper cites an unresolved cited work.

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

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:29:15.631815Z

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.

source=pdf_text observed=2026-08-10T15:29:14.867942Z digest=sha256:4d2e252ce1d38a0ba367036f8755f989880ddc54fcfd0d99b3fb0e1fb7e09f9e

Observation 7dcd8b50-2e6b-4025-b3af-08879fc1bcae · outbound

This paper cites Derksen and G.

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

Reference 38

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verified fuzzy
raw_fallback, observed 2026-08-10T15:29:15.618001Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-10T15:29:14.871582Z digest=sha256:60e1bdb90c2021063b0c19594bd381b3e3a41ce63332e299da6de7d36c6a9fe6

Observation f9b9bb44-6050-4606-ab46-08355146d717 · outbound

This paper cites The invariant space of multi-Higgs doublet models.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.875424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.875424Z digest=sha256:b9d4980960669f8745f5d1a6c1d519e6ad5654d677b0efcefeb0d25b1288e561

Observation c0f3b033-efd6-4721-ae01-1c2fbc1ab453 · outbound

This paper cites Macaulay2, a software system for research in algebraic geometry.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:29:15.604261Z

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.

source=pdf_text observed=2026-08-10T15:29:14.879485Z digest=sha256:1a2b712c8f6a9b8dffdd40240e83f75ceb298d10b059a02a41934ab9675673b5

Observation 3b4b4a9f-9c8f-4cef-b240-0edca22abdab · outbound

This paper cites Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics.

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

Resolution
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no resolver link, observed 2026-08-10T15:29:14.883513Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T15:29:14.883513Z digest=sha256:49af51712233812b753822000d59d1ab8f241fb2912f9fb43e42a998642f5ed5

Observation 1fc46f47-0261-4cbd-a2ef-f03d2a1dd108 · outbound

This paper cites Counting Gauge Invariants: the Plethystic Program.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.887837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.887837Z digest=sha256:dffcfcf3ced8ec85da4f7e10b0febfa65763ddf9007363678bdea16fe4e5cd70

Observation b24479a0-e39f-453b-8974-1acc8f9379f8 · outbound

This paper cites The Hilbert Series of Adjoint SQCD.

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

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:29:15.099297Z

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.

source=pdf_text observed=2026-08-10T15:29:14.892834Z digest=sha256:94812987bdb76580ba277c0422bb61ca5f5c0c0fd7901670bd632d5fc2cf73be

Observation d8fa11a6-2055-4923-a1af-456512fd4666 · outbound

This paper cites Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.896826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.896826Z digest=sha256:502b0f75bb69a33caac7229dfc2788854ef912014d52e7402122e635c560d39a

Observation f1b3e24b-5621-4eed-86d7-71ed40b3ae49 · outbound

This paper cites Lorentz and permutation invariants of particles I.

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

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:29:15.068951Z

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.

source=pdf_text observed=2026-08-10T15:29:14.900556Z digest=sha256:e3c0081eb819074d07343171cca930520cf79c2dcd2dd8be70bcd72a82a4efda

Observation 8f14dc6f-05f2-4cc2-aaf2-d758d5e81732 · outbound

This paper cites Flavor Invariants and Renormalization-group Equations in the Leptonic Sector with Massive Majorana Neutrinos.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.904622Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.904622Z digest=sha256:e046c8dfac0de4c3a5193dbd305cf67cc5752e9b81e0e75362a5abc48fcc3476

Observation d4a79d7e-607e-49ba-ad20-7e66f420b974 · outbound

This paper cites Hilbert Series for Leptonic Flavor Invariants in the Minimal Seesaw Model.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.909382Z

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source=pdf_text observed=2026-08-10T15:29:14.909382Z digest=sha256:f9522d8e67f883aa1fc9bfeb836dd60166560876fcb7a71be531fd3c01a33b30

Observation 4f8969f4-e5ff-4872-b659-3754c8f0af82 · outbound

This paper cites CP violation and flavor invariants in the seesaw effective field theory.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.913204Z

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source=pdf_text observed=2026-08-10T15:29:14.913204Z digest=sha256:b29678c9189729b68b23a192aaaafad19c424623f24c698a3c9de1c3057a24d5

Observation de4984ad-6792-426b-b0b2-dd3c573a42ca · outbound

This paper cites Singular 4-4-0 — A computer algebra system for polynomial computations.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:29:15.590897Z

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.

source=pdf_text observed=2026-08-10T15:29:14.916964Z digest=sha256:87871d6a4785f0ea3403181895e802364bf079b80c2f91569bdee407d02ba0f6

Observation 00dce6b2-d780-4fd5-a7f8-2999ee653d4b · outbound

This paper cites Mathematica, Version 13.2.

On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations Mathematica, Version 13.2

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:29:15.577332Z

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.

source=pdf_text observed=2026-08-10T15:29:14.920621Z digest=sha256:7fd126eefa9d34feaafa5b1f092c72a1da1ede847f5b596034ae9c358226c0a8

Observation c3c313cc-73d4-4e9d-954e-5ffa5a3bd4c6 · outbound

This paper cites Lewis, “Fermat.” Available at https://home.bway.net/lewis.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:29:15.563928Z

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.

source=pdf_text observed=2026-08-10T15:29:14.924015Z digest=sha256:2e7f1cc0fb69b94b568f8fc03b1ca7838a8ecff1615560836c87da9c54677c90

Observation 4645b103-5f40-4186-ae83-b86d4a703ba0 · outbound

This paper cites New Symmetries of the Two-Higgs-Doublet Model.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.927426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.927426Z digest=sha256:114f53ed65dab410c4fb4880b5a877f6a4e1dc7a6ee9c33b919f865ac550a64f

Observation df4f0ad9-61b1-4597-bbc5-e391cb1f1a13 · outbound

This paper cites Can CP be conserved in the two-Higgs-doublet model?.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.930928Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.930928Z digest=sha256:cb27b46b36ba218ebffdfe684e5b164f53bf2ba1799fd01ca4ac492a18e8741a

Observation 59b9a087-aaef-4183-b6f3-d3235c82b962 · outbound

This paper cites Is the real two-Higgs-doublet model consistent?.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T15:29:14.934143Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:29:14.934143Z digest=sha256:1e5ca8f73c652917fb0a2431a28559ce158da611dde374ac6241a14833a503fe

Pith citing papers

Observation 4f4f37e2-1f41-47d9-80f5-b8d7317dcd2a · inbound

GOOFy-compatible 3HDMs and beyond cites this paper.

GOOFy-compatible 3HDMs and beyond On the scalar sector of 2HDM: ring of basis invariants, syzygies, and six-loop renormalization-group equations

Reference 65

Resolution
verified exact
local_arxiv, observed 2026-08-08T15:49:45.824960Z

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.

source=pdf_text observed=2026-08-08T15:49:44.768801Z digest=sha256:2ce3eb1eb1735e8ed6870e5f5e4f5e54f4d228d4de2e45031af4d304a7bff00c