Paper Citation Record · LEDGER

The Three-Loop Splitting Functions in QCD: The Singlet Case

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 33 inbound Pith citation observations for arXiv:hep-ph/0404111.

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hep-ph/0404111 v1

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measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 33 of 33 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:40:21.683202Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T15:47:23.134888Z

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Pith citing papers

Observation c5b0e9c9-6258-48d9-9792-2c95bc5304f2 · inbound

Open-source QCD analysis of nuclear parton distribution functions at NLO and NNLO cites this paper.

Open-source QCD analysis of nuclear parton distribution functions at NLO and NNLO The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-14T14:24:05.889606Z

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Observation 0da06cfa-13a5-40c6-b213-f3b1f199e781 · inbound

DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling cites this paper.

DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-14T13:31:47.397346Z

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Observation 9dafc0b2-b83a-487d-a20e-dd21c6392abe · inbound

Parton Distribution Functions from Ioffe time pseudo-distributions cites this paper.

Parton Distribution Functions from Ioffe time pseudo-distributions The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-14T11:11:10.731815Z

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Observation 988f1daa-4ec6-4ef7-8456-debd65b36017 · inbound

Relating amplitude and PDF factorisation through Wilson-line geometries cites this paper.

Relating amplitude and PDF factorisation through Wilson-line geometries The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-14T05:50:17.003706Z

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Observation 687d53e2-eb85-4314-859f-60729cdd8ab2 · inbound

A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N$^3$LO cites this paper.

A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N$^3$LO The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-14T05:43:56.263881Z

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Observation a46066b1-e64f-46d2-aa8a-a67dc4a68020 · inbound

Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals cites this paper.

Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-05-24T15:14:37.316268Z

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Observation 753522d6-56ab-4371-a7b4-1b3cd90c2eaf · inbound

New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC cites this paper.

New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 139

Resolution: verified exact; local_arxiv, observed 2026-05-21T17:47:23.166530Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8b1194b7-2e63-4f27-a757-5387b30c4d92 · inbound

The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders cites this paper.

The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-12T16:30:07.393404Z

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Observation 7fce13ce-8d22-49c0-9930-4601eecac350 · inbound

Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib cites this paper.

Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 108

Resolution: unresolved; no resolver link, observed 2026-08-12T13:44:24.477354Z

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Observation 471bb4f6-d2a6-4623-8cee-acf814dddf10 · inbound

Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters cites this paper.

Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-12T11:06:05.288947Z

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Observation 2eaaaf76-e9a0-43fc-abe8-3ca11a476a3a · inbound

Precise Determination of the Strong Coupling Constant from Dijet Cross Sections up to the Multi-TeV Range cites this paper.

Precise Determination of the Strong Coupling Constant from Dijet Cross Sections up to the Multi-TeV Range The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-10T23:14:44.169004Z

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Observation 357e92b3-232a-4e56-b706-32a6c57375a4 · inbound

Two-loop helicity amplitudes for diphoton production with massive quark loop cites this paper.

Two-loop helicity amplitudes for diphoton production with massive quark loop The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-09T05:23:20.848594Z

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Observation 9af29585-e901-4b39-a9c1-ca634332a08d · inbound

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions cites this paper.

Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T21:40:21.683202Z

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Observation b68410ca-701a-4fe0-9438-934f625e46a8 · inbound

Anomalous dimensions at small spins cites this paper.

Anomalous dimensions at small spins The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T10:34:55.145773Z

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Observation b2a8f3e3-df1f-4a82-a268-aba0d155e6fd · inbound

Energy Correlators: A Journey From Theory to Experiment cites this paper.

Energy Correlators: A Journey From Theory to Experiment The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 212

Resolution: unresolved; no resolver link, observed 2026-08-07T05:02:44.905208Z

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Observation 04017ee5-e87e-4f7d-9cc9-55898144710f · inbound

Soft Factorisation and Exponentiation from Schwinger-Space Geometry cites this paper.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-07T00:00:24.864769Z

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Observation 50803de0-c06c-40d5-8542-5b48cdc8c85b · inbound

Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD cites this paper.

Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-06T21:32:59.702313Z

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Observation f2735271-88d6-499f-a88b-b0ab33128647 · inbound

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory cites this paper.

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-05-19T05:37:05.632641Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 12a60bf1-45b7-4128-b27a-68f42ba9a641 · inbound

Parton Distribution Functions and their Generalizations cites this paper.

Parton Distribution Functions and their Generalizations The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 108

Resolution: unresolved; no resolver link, observed 2026-08-06T16:47:24.794362Z

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Observation 767de466-d15d-4c4f-891c-86c6b1c51808 · inbound

Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery cites this paper.

Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-05-18T19:21:49.114005Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 70ba8fd6-ff78-4c39-8704-b230fae2f059 · inbound

Slepton pair production at next-to-leading power cites this paper.

Slepton pair production at next-to-leading power The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-05-18T09:16:09.795260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 424e5c1f-741a-4f9a-9fc2-3d5d09468831 · inbound

New results on small-x resummation for splitting functions cites this paper.

New results on small-x resummation for splitting functions The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T19:29:19.099616Z

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Observation 3d2525fd-034f-4d0c-be05-57b83c5d0f6a · inbound

The four-loop non-singlet splitting functions in QCD cites this paper.

The four-loop non-singlet splitting functions in QCD The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:16:02.396503Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9d5ced32-2d24-451b-b3f2-954332a20812 · inbound

Properties and implications of the four-loop non-singlet splitting functions in QCD cites this paper.

Properties and implications of the four-loop non-singlet splitting functions in QCD The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:41:30.443792Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 857ff107-468b-47f4-9a56-1a07415d27e7 · inbound

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part cites this paper.

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-12T05:26:24.426178Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d94f3b2e-4aa2-4fdd-b004-adc73c483050 · inbound

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part cites this paper.

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-06-30T22:45:07.481178Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 71e960d5-a5c2-4eb7-87a0-9994926a933a · inbound

Associated $ZH$ production in gluon fusion process at NLO+NLL cites this paper.

Associated $ZH$ production in gluon fusion process at NLO+NLL The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 111

Resolution: verified exact; local_arxiv, observed 2026-06-30T15:54:49.826142Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b1271c58-0285-4b82-bc49-fc6c2e4fb55c · inbound

PDF evolution in alternative factorisation schemes cites this paper.

PDF evolution in alternative factorisation schemes The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-07-04T11:39:47.281518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 59577b84-d0fc-4ed0-b95d-9ca6cb723244 · inbound

Polarized Deep-Inelastic Scattering with Spin Correlations in Herwig 7 cites this paper.

Polarized Deep-Inelastic Scattering with Spin Correlations in Herwig 7 The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-04T11:39:47.470278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c3bc7bb0-a452-4ed3-b52f-b50ab1c8398d · inbound

QCD for electroweak precision measurements: Foundations cites this paper.

QCD for electroweak precision measurements: Foundations The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-07-10T15:47:23.136057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 61b6b462-80f1-43d1-9321-810fcca6c52c · inbound

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space cites this paper.

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-02T06:20:31.356305Z

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Observation 159a6d22-08e8-4d1a-be9a-9e2e1770a6dd · inbound

Chromoelectric and chromomagnetic matching to scalar and spin-two nucleon structure cites this paper.

Chromoelectric and chromomagnetic matching to scalar and spin-two nucleon structure The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T14:26:32.455521Z

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Observation cc0f5f06-16d3-4892-b4f2-69b225f0a9a9 · inbound

Global analyses of helicity-dependent parton distribution functions cites this paper.

Global analyses of helicity-dependent parton distribution functions The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 227

Resolution: unresolved; no resolver link, observed 2026-07-31T10:42:20.678555Z

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