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Paper Citation Record · LEDGER

Properties and implications of the four-loop non-singlet splitting functions in QCD

As of 10 August 2026, this Paper Citation Record lists 100 of 114 outbound references and 1 inbound Pith citation observation for arXiv:2605.03889.

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

pith.paper-citation-record.v1
2605.03889 v1

Coverage vector

measured 100 of 114 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-07T04:15:59.634181Z

measured 101 of 101 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 2026-08-02T06:20:21.852656Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

100 of 114 outbound references displayed

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  • verified fuzzy9
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6c5d62f7-1218-4496-8d8d-8940c3ce9d37 · outbound

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

Properties and implications of the four-loop non-singlet splitting functions in QCD The four-loop non-singlet splitting functions in QCD

Reference 1

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Observation 324fe650-9f72-4188-a0ca-76e68dedf4a0 · outbound

This paper cites Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering.

Properties and implications of the four-loop non-singlet splitting functions in QCD Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering

Reference 2

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arxiv_id, observed 2026-05-12T10:41:30.375160Z

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Observation 63b262fa-1122-42cb-aa57-7d0a726c2c60 · outbound

This paper cites Large-nf Contributions to the Four-Loop Splitting Functions in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Large-nf Contributions to the Four-Loop Splitting Functions in QCD

Reference 3

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arxiv_id, observed 2026-05-12T10:41:30.137590Z

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Observation 18c11e8d-777e-4cc1-865a-26ab926314f5 · outbound

This paper cites Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L

Reference 4

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arxiv_id, observed 2026-05-12T10:41:30.416676Z

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Observation b5075ffc-ba05-4a7d-8cb7-2a68d659dcc2 · outbound

This paper cites The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order.

Properties and implications of the four-loop non-singlet splitting functions in QCD The $N_f \,C_F^3$ contribution to the non-singlet splitting function at four-loop order

Reference 5

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arxiv_id, observed 2026-05-12T10:41:30.325908Z

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Observation 462663bc-b946-4e20-942d-3f00491049f9 · outbound

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

Properties and implications of the four-loop non-singlet splitting functions in QCD Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions

Reference 6

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arxiv_id, observed 2026-05-12T10:41:30.246913Z

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Observation 75c7047d-7439-4915-b6ee-ef7157195f40 · outbound

This paper cites Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond

Reference 7

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arxiv_id, observed 2026-05-12T10:41:30.058447Z

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Observation 0e292aaf-061b-4e2a-867d-5db451989d2b · outbound

This paper cites Low moments of the four-loop splitting functions in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Low moments of the four-loop splitting functions in QCD

Reference 8

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arxiv_id, observed 2026-05-12T10:41:30.276478Z

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Observation ba4b43b8-6164-4390-9967-2e3318260053 · outbound

This paper cites Additional moments and x-space approximations of four-loop splitting functions in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Additional moments and x-space approximations of four-loop splitting functions in QCD

Reference 9

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arxiv_id, observed 2026-05-12T10:41:30.163686Z

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Observation bf8b5dc5-223c-45ea-8e3a-e758d7174084 · outbound

This paper cites Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions.

Properties and implications of the four-loop non-singlet splitting functions in QCD Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions

Reference 10

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arxiv_id, observed 2026-05-12T10:41:29.893209Z

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Observation 871af51e-1df5-4b60-9d72-0e847e1267ac · outbound

This paper cites The double fermionic contribution to the four-loop quark-to-gluon splitting function.

Properties and implications of the four-loop non-singlet splitting functions in QCD The double fermionic contribution to the four-loop quark-to-gluon splitting function

Reference 11

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arxiv_id, observed 2026-05-12T10:41:30.251712Z

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Observation 75bd42c5-0012-4eaf-b775-78ed30840da5 · outbound

This paper cites Four-loop splitting functions in QCD -- The quark-quark case.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop splitting functions in QCD -- The quark-quark case

Reference 12

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arxiv_id, observed 2026-05-12T10:41:30.013725Z

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Observation 75a877d7-0a88-4d60-8187-1dc654a149fd · outbound

This paper cites Four-loop splitting functions in QCD -- The gluon-to-quark case.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop splitting functions in QCD -- The gluon-to-quark case

Reference 13

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arxiv_id, observed 2026-05-12T10:41:30.093646Z

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Observation 56bc5d79-541b-4558-93ce-3a1619d86e36 · outbound

This paper cites Four-loop splitting functions in QCD -- The quark-to-gluon case.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop splitting functions in QCD -- The quark-to-gluon case

Reference 14

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arxiv_id, observed 2026-05-12T10:41:29.865890Z

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Observation 849c55b9-7a4e-4d9c-9351-3fc04ff38bf5 · outbound

This paper cites Four-loop splitting functions in QCD -- The gluon-gluon case --.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop splitting functions in QCD -- The gluon-gluon case --

Reference 15

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arxiv_id, observed 2026-05-12T10:41:29.888284Z

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Observation 0cbb18e1-a6c7-4ecb-9027-3baaeda9406c · outbound

This paper cites Falcioni, F.

Properties and implications of the four-loop non-singlet splitting functions in QCD Falcioni, F

Reference 16

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arxiv_id, observed 2026-05-12T10:41:30.073256Z

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Observation 28596afc-8440-47cd-9cf6-ef3e1953ef58 · outbound

This paper cites Four-Loop Gluon Anomalous Dimension of General Lorentz Spin: Transcendental Part.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-Loop Gluon Anomalous Dimension of General Lorentz Spin: Transcendental Part

Reference 17

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local_arxiv, observed 2026-05-12T10:41:30.037910Z

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Observation 2e0dd043-ee7d-4cee-aa09-4bb0aeba2bab · outbound

This paper cites Non-Singlet Structure Functions at Three Loops: Fermionic Contributions.

Properties and implications of the four-loop non-singlet splitting functions in QCD Non-Singlet Structure Functions at Three Loops: Fermionic Contributions

Reference 18

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arxiv_id, observed 2026-07-04T17:24:35.772017Z

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Observation 735af8dc-3220-47d0-b6c7-35aca6646328 · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Non-Singlet Case.

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

Reference 19

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arxiv_id, observed 2026-05-12T10:41:30.286292Z

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

This paper cites The Three-Loop Splitting Functions in QCD: The Singlet Case.

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

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arxiv_id, observed 2026-05-12T10:41:30.443792Z

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Observation 08f044ed-184c-4d25-9461-7677724cf2e0 · outbound

This paper cites Harmonic sums, Mellin transforms and Integrals.

Properties and implications of the four-loop non-singlet splitting functions in QCD Harmonic sums, Mellin transforms and Integrals

Reference 21

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arxiv_id, observed 2026-05-12T10:41:29.861517Z

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Observation f90d3fda-ad5c-4a02-8bfd-a931e2658cfc · outbound

This paper cites Harmonic Sums and Mellin Transforms up to two-loop Order.

Properties and implications of the four-loop non-singlet splitting functions in QCD Harmonic Sums and Mellin Transforms up to two-loop Order

Reference 22

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arxiv_id, observed 2026-05-12T10:41:30.114396Z

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Observation 9502f8f1-6f6b-4fcb-9af6-5c8e25702e8d · outbound

This paper cites Harmonic Polylogarithms.

Properties and implications of the four-loop non-singlet splitting functions in QCD Harmonic Polylogarithms

Reference 23

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arxiv_id, observed 2026-05-12T10:41:30.159647Z

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Observation af39fbc3-1fde-468b-908f-b2be94af33cb · outbound

This paper cites Deep Inelastic Structure Functions at two Loops.

Properties and implications of the four-loop non-singlet splitting functions in QCD Deep Inelastic Structure Functions at two Loops

Reference 24

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arxiv_id, observed 2026-05-12T10:41:30.408352Z

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Observation 1c80e08b-e7d8-49d6-a8f3-df15be2bb06e · outbound

This paper cites Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD

Reference 25

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arxiv_id, observed 2026-05-12T10:41:30.100244Z

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Observation 11b799ab-cf58-4681-befc-f93c3c03c9a7 · outbound

This paper cites Four loop anomalous dimension of the third and fourth moments of the non-singlet twist-2 operator in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four loop anomalous dimension of the third and fourth moments of the non-singlet twist-2 operator in QCD

Reference 26

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arxiv_id, observed 2026-05-12T10:41:30.168946Z

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Observation 3803e3a6-fc8c-4dc3-acfd-e989fce5e3bc · outbound

This paper cites Massless Propagators, $R(s)$ and Multiloop QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Massless Propagators, $R(s)$ and Multiloop QCD

Reference 27

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arxiv_id, observed 2026-07-04T19:18:49.570919Z

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Observation 0c57315d-5011-4dac-ab34-f087883b1f64 · outbound

This paper cites Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams.

Properties and implications of the four-loop non-singlet splitting functions in QCD Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams

Reference 28

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arxiv_id, observed 2026-05-12T10:41:30.428932Z

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Observation 7123a63f-8229-4f17-b28c-367ac3852f93 · outbound

This paper cites New features of FORM.

Properties and implications of the four-loop non-singlet splitting functions in QCD New features of FORM

Reference 29

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arxiv_id, observed 2026-05-12T10:41:30.369617Z

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Observation f492ca46-9a55-413c-903f-cf42ed360d6d · outbound

This paper cites FORM version 4.0.

Properties and implications of the four-loop non-singlet splitting functions in QCD FORM version 4.0

Reference 30

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arxiv_id, observed 2026-05-12T10:41:30.259718Z

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Observation e925e7ad-d182-45a3-a164-04a8367b8152 · outbound

This paper cites FORM version 4.2.

Properties and implications of the four-loop non-singlet splitting functions in QCD FORM version 4.2

Reference 31

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arxiv_id, observed 2026-05-12T10:41:30.142673Z

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Observation 7da9a9f5-477b-46bc-8fc8-9739ef628e93 · outbound

This paper cites Revisiting parton evolution and the large-x limit.

Properties and implications of the four-loop non-singlet splitting functions in QCD Revisiting parton evolution and the large-x limit

Reference 32

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arxiv_id, observed 2026-05-12T10:41:30.046128Z

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Observation f30e99ad-d057-4d5c-9c41-a5f3dcbe9ac5 · outbound

This paper cites N=4 SUSY Yang--Mills: three loops made simple(r).

Properties and implications of the four-loop non-singlet splitting functions in QCD N=4 SUSY Yang--Mills: three loops made simple(r)

Reference 33

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arxiv_id, observed 2026-05-12T10:41:30.204448Z

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Observation 281247eb-a586-495b-8371-78eb58e3620f · outbound

This paper cites Anomalous dimensions of high-spin operators beyond the leading order.

Properties and implications of the four-loop non-singlet splitting functions in QCD Anomalous dimensions of high-spin operators beyond the leading order

Reference 34

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Observation 2a0efc70-2057-45b9-84ec-0d3a489f4593 · outbound

This paper cites Strohmaier, Conformal symmetry breaking and evolution equations in Qua ntum Chromodynamics, PhD thesis, Regensburg 2018, doi:10.5283/epub.37432.

Properties and implications of the four-loop non-singlet splitting functions in QCD Strohmaier, Conformal symmetry breaking and evolution equations in Qua ntum Chromodynamics, PhD thesis, Regensburg 2018, doi:10.5283/epub.37432

Reference 35

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Observation 4b49b070-8401-4aea-a14c-778f2cb33ef7 · outbound

This paper cites Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions.

Properties and implications of the four-loop non-singlet splitting functions in QCD Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions

Reference 36

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arxiv_id, observed 2026-05-12T10:41:30.195088Z

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Observation dc232f4e-be67-4532-8088-184fb6eaadfb · outbound

This paper cites Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions.

Properties and implications of the four-loop non-singlet splitting functions in QCD Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions

Reference 37

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arxiv_id, observed 2026-05-12T10:41:29.870468Z

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Observation 922e0d00-8a9c-4c45-816f-86f490ae7aa2 · outbound

This paper cites V ogt, All ζ 3 terms of the 4-loop non-singlet splitting functions , October 2023 (unpublished) 17.

Properties and implications of the four-loop non-singlet splitting functions in QCD V ogt, All ζ 3 terms of the 4-loop non-singlet splitting functions , October 2023 (unpublished) 17

Reference 38

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Observation 9d8a945b-fdcc-4b4a-90d3-f76c94e383b1 · outbound

This paper cites Four-loop anomalous dimension of flavor non-singlet twist-two operator of general Lorentz spin in QCD: zeta(3) term.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop anomalous dimension of flavor non-singlet twist-two operator of general Lorentz spin in QCD: zeta(3) term

Reference 39

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arxiv_id, observed 2026-05-12T10:41:30.360841Z

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Observation a9f8b8da-5c61-49ab-a034-ce413490597c · outbound

This paper cites Four-loop QCD propagators and vertices with one vanishing external momentum.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop QCD propagators and vertices with one vanishing external momentum

Reference 40

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arxiv_id, observed 2026-07-04T22:01:53.590771Z

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Observation d98c5de0-8fa3-4e2f-a2a0-c0c21332647e · outbound

This paper cites Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model.

Properties and implications of the four-loop non-singlet splitting functions in QCD Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model

Reference 41

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arxiv_id, observed 2026-05-12T10:41:30.183081Z

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Observation edbc5464-d115-4d1c-af7e-d7597c0db7ff · outbound

This paper cites The Factorized S-Matrix of CFT/AdS.

Properties and implications of the four-loop non-singlet splitting functions in QCD The Factorized S-Matrix of CFT/AdS

Reference 42

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arxiv_id, observed 2026-05-12T10:41:30.280799Z

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Observation 5340b132-246a-4ab6-afdc-7a27739edb88 · outbound

This paper cites Dressing and Wrapping.

Properties and implications of the four-loop non-singlet splitting functions in QCD Dressing and Wrapping

Reference 43

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arxiv_id, observed 2026-07-04T15:21:46.325931Z

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Observation 534a5977-d6cd-4eb9-bb33-a0d4220e608d · outbound

This paper cites Four loop twist two, BFKL, wrapping and strings.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four loop twist two, BFKL, wrapping and strings

Reference 44

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arxiv_id, observed 2026-05-12T10:41:30.400154Z

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Observation 9e84822a-aca7-4d56-9d09-8610ae014f63 · outbound

This paper cites Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory.

Properties and implications of the four-loop non-singlet splitting functions in QCD Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory

Reference 45

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arxiv_id, observed 2026-05-12T10:41:30.067626Z

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Observation b78ed119-7967-4f4b-a003-5e074f46f765 · outbound

This paper cites The third-order QCD corrections to deep-inelastic scattering by photon exchange.

Properties and implications of the four-loop non-singlet splitting functions in QCD The third-order QCD corrections to deep-inelastic scattering by photon exchange

Reference 46

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arxiv_id, observed 2026-05-12T10:41:30.123245Z

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Observation dad96126-d1b5-40b0-a3a8-a98a9eceb12d · outbound

This paper cites Third-order QCD corrections to the charged-current structure function F_3.

Properties and implications of the four-loop non-singlet splitting functions in QCD Third-order QCD corrections to the charged-current structure function F_3

Reference 47

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arxiv_id, observed 2026-05-12T10:41:30.448350Z

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Observation 5fda7d9c-b123-44fa-8967-82a0b3900abe · outbound

This paper cites Korchemsky, Asymptotics of the Altarelli-Parisi-Lipatov Evolution Kernels of Parton Distributions, Mod.

Properties and implications of the four-loop non-singlet splitting functions in QCD Korchemsky, Asymptotics of the Altarelli-Parisi-Lipatov Evolution Kernels of Parton Distributions, Mod

Reference 48

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Observation ce9e875a-52ba-4332-9440-163a9b9e46bb · outbound

This paper cites Soft Resummation of Quark Anomalous Dimensions and Coefficient Functions in MS-bar Factorization.

Properties and implications of the four-loop non-singlet splitting functions in QCD Soft Resummation of Quark Anomalous Dimensions and Coefficient Functions in MS-bar Factorization

Reference 49

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arxiv_id, observed 2026-05-12T10:41:30.335993Z

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Observation d63a9669-a722-46ae-aa0c-77db62064590 · outbound

This paper cites The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD

Reference 50

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arxiv_id, observed 2026-05-12T10:41:30.295241Z

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Observation 5c463a36-49fc-4fa1-81d4-ac397283f12f · outbound

This paper cites Cusp and collinear anomalous dimensions in four-loop QCD from form factors.

Properties and implications of the four-loop non-singlet splitting functions in QCD Cusp and collinear anomalous dimensions in four-loop QCD from form factors

Reference 51

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arxiv_id, observed 2026-05-12T10:41:30.079019Z

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Observation 06c48803-b43e-43df-8f58-0d4f37a520e1 · outbound

This paper cites On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD

Reference 52

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arxiv_id, observed 2026-05-12T10:41:30.356604Z

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Observation 2aaea409-9157-4be1-abf5-3eabdf416bff · outbound

This paper cites Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering.

Properties and implications of the four-loop non-singlet splitting functions in QCD Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering

Reference 53

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arxiv_id, observed 2026-05-12T10:41:30.346180Z

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Observation dda1a87e-df15-4dca-8e8f-318b4a7ecbc3 · outbound

This paper cites Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes.

Properties and implications of the four-loop non-singlet splitting functions in QCD Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes

Reference 54

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arxiv_id, observed 2026-07-04T18:19:47.812846Z

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Observation 19b1d7ef-bbfe-4b83-b0c9-1c3a31f2d525 · outbound

This paper cites Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation.

Properties and implications of the four-loop non-singlet splitting functions in QCD Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation

Reference 55

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arxiv_id, observed 2026-05-12T10:41:30.340626Z

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Observation 9ac8f470-02e5-48c3-9ac6-7ac5543c9b68 · outbound

This paper cites Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering.

Properties and implications of the four-loop non-singlet splitting functions in QCD Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering

Reference 56

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arxiv_id, observed 2026-07-04T17:44:37.748930Z

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Observation 718d9fc0-5ee2-4dc9-9e1d-5a4273868d14 · outbound

This paper cites Generalised double-logarithmic equation in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Generalised double-logarithmic equation in QCD

Reference 57

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arxiv_id, observed 2026-07-04T22:22:44.088971Z

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Observation 568298c3-ea5a-40b3-abbd-337ac8f9c643 · outbound

This paper cites Kirschner and L.N.

Properties and implications of the four-loop non-singlet splitting functions in QCD Kirschner and L.N

Reference 58

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Observation c7c2c3e3-5ab1-40ee-8103-34cc5faa8807 · outbound

This paper cites On the Behaviour of Non--Singlet Structure Functions at Small $x$.

Properties and implications of the four-loop non-singlet splitting functions in QCD On the Behaviour of Non--Singlet Structure Functions at Small $x$

Reference 59

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arxiv_id, observed 2026-07-04T17:54:55.604388Z

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Observation d442e3a9-1497-4eb7-a42b-27f074f6f797 · outbound

This paper cites Anomalous dimensions at small spins.

Properties and implications of the four-loop non-singlet splitting functions in QCD Anomalous dimensions at small spins

Reference 60

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arxiv_id, observed 2026-07-13T01:17:43.002153Z

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Observation 18c3d5ab-0913-4f55-8559-947ff0ac57c3 · outbound

This paper cites Super-leading logarithms in non-global observables in QCD?.

Properties and implications of the four-loop non-singlet splitting functions in QCD Super-leading logarithms in non-global observables in QCD?

Reference 61

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arxiv_id, observed 2026-05-12T10:41:30.389855Z

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Observation b0f42389-2b91-4fe2-a133-4f7d2834e513 · outbound

This paper cites Space-like (vs. time-like) collinear limits in QCD: is factorization violated?.

Properties and implications of the four-loop non-singlet splitting functions in QCD Space-like (vs. time-like) collinear limits in QCD: is factorization violated?

Reference 62

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arxiv_id, observed 2026-05-12T10:41:30.300209Z

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Observation 4f8311d4-1d0e-4da1-ba95-5c569c84fc1c · outbound

This paper cites On the breaking of collinear factorization in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD On the breaking of collinear factorization in QCD

Reference 63

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arxiv_id, observed 2026-05-12T10:41:30.221694Z

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Observation 06f0eaaa-8d83-4ae3-aebb-b401260e047d · outbound

This paper cites Factorization of Non-Global LHC Observables and Resummation of Super-Leading Logarithms.

Properties and implications of the four-loop non-singlet splitting functions in QCD Factorization of Non-Global LHC Observables and Resummation of Super-Leading Logarithms

Reference 64

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arxiv_id, observed 2026-05-12T10:41:30.290437Z

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Observation d2629658-032b-4c15-9e2c-09f3bc063bb8 · outbound

This paper cites Factorization restoration through Glauber gluons.

Properties and implications of the four-loop non-singlet splitting functions in QCD Factorization restoration through Glauber gluons

Reference 65

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arxiv_id, observed 2026-05-12T10:41:30.023925Z

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source=pdf_text observed=2026-05-07T04:15:59.634181Z digest=sha256:d297db00728e161115f4dd20317c715bc56bb706cb11ed8c69a4de34c5980014

Observation 3086417e-e369-4bb7-8a6a-a33152de4073 · outbound

This paper cites Low-energy theory of jet processes and PDF factorization.

Properties and implications of the four-loop non-singlet splitting functions in QCD Low-energy theory of jet processes and PDF factorization

Reference 66

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arxiv_id, observed 2026-05-12T10:41:30.422691Z

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Observation 6110c2c6-fd36-4e65-bda4-c1f507333782 · outbound

This paper cites Threshold Resummation of the Structure Function F_L.

Properties and implications of the four-loop non-singlet splitting functions in QCD Threshold Resummation of the Structure Function F_L

Reference 67

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arxiv_id, observed 2026-05-12T10:41:29.877782Z

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source=pdf_text observed=2026-05-07T04:15:59.634181Z digest=sha256:d1082c554b11c587c9a8036fef55f232de46e53be208f8c0b92bef4a1ab65d2b

Observation 4a4bec1a-b3fe-406a-ad9e-ee573a96c947 · outbound

This paper cites The Evolution of Unpolarized and Polarized Structure Functions at Small $x$.

Properties and implications of the four-loop non-singlet splitting functions in QCD The Evolution of Unpolarized and Polarized Structure Functions at Small $x$

Reference 68

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arxiv_id, observed 2026-07-04T20:25:30.770537Z

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Observation 51a56109-45a5-4d7a-a395-f4feec8d61ef · outbound

This paper cites The Quark Form Factor at Higher Orders.

Properties and implications of the four-loop non-singlet splitting functions in QCD The Quark Form Factor at Higher Orders

Reference 69

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arxiv_id, observed 2026-05-12T10:41:30.365419Z

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Observation c0898b0a-2033-42a7-8688-a11ec2ea9e1f · outbound

This paper cites Three-Loop Results for Quark and Gluon Form Factors.

Properties and implications of the four-loop non-singlet splitting functions in QCD Three-Loop Results for Quark and Gluon Form Factors

Reference 70

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arxiv_id, observed 2026-05-12T10:41:30.350763Z

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Observation 186a04f5-6aaa-47d2-ac89-1d26fd40e663 · outbound

This paper cites Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production.

Properties and implications of the four-loop non-singlet splitting functions in QCD Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production

Reference 71

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arxiv_id, observed 2026-05-12T10:41:30.178092Z

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Observation 221ace3b-11e6-44fe-a47c-36567e36a1a4 · outbound

This paper cites Threshold resummation for electroweak annihilation from DIS data.

Properties and implications of the four-loop non-singlet splitting functions in QCD Threshold resummation for electroweak annihilation from DIS data

Reference 72

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arxiv_id, observed 2026-05-12T10:41:30.088467Z

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Observation 5688e02b-dc1f-4a05-a6d5-cecc78184eab · outbound

This paper cites Threshold Resummation for Higgs Production in Effective Field Theory.

Properties and implications of the four-loop non-singlet splitting functions in QCD Threshold Resummation for Higgs Production in Effective Field Theory

Reference 73

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arxiv_id, observed 2026-07-04T16:55:50.293833Z

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Observation 95470a22-eaac-49ea-b4d1-fb9b6f47ac04 · outbound

This paper cites Soft corrections to inclusive deep-inelastic scattering at four loops and beyond.

Properties and implications of the four-loop non-singlet splitting functions in QCD Soft corrections to inclusive deep-inelastic scattering at four loops and beyond

Reference 74

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arxiv_id, observed 2026-05-12T10:41:30.379218Z

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Observation 2b6cf427-3d60-4203-9ea7-7cf6668634c8 · outbound

This paper cites Approximate four-loop QCD corrections to the Higgs-boson production cross section.

Properties and implications of the four-loop non-singlet splitting functions in QCD Approximate four-loop QCD corrections to the Higgs-boson production cross section

Reference 75

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arxiv_id, observed 2026-05-12T10:41:30.269886Z

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Observation 477e5bbe-9129-4bae-b91c-84643fad8600 · outbound

This paper cites Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills.

Properties and implications of the four-loop non-singlet splitting functions in QCD Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills

Reference 76

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arxiv_id, observed 2026-05-12T10:41:29.906680Z

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Observation 9c69cafd-7ef0-4701-aa2a-189d0d3dbf34 · outbound

This paper cites Fermionic corrections to quark and gluon form factors in four-loop QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Fermionic corrections to quark and gluon form factors in four-loop QCD

Reference 77

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arxiv_id, observed 2026-05-12T10:41:30.395165Z

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Observation 8ddafbb8-4f41-473c-b8f1-09259ef3f854 · outbound

This paper cites Universal structure of subleading infrared poles in gauge theory amplitudes.

Properties and implications of the four-loop non-singlet splitting functions in QCD Universal structure of subleading infrared poles in gauge theory amplitudes

Reference 78

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arxiv_id, observed 2026-05-12T10:41:30.311525Z

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Observation b3ef0caa-f11d-45fb-ac46-7d067044f6b7 · outbound

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

Properties and implications of the four-loop non-singlet splitting functions in QCD Relating amplitude and PDF factorisation through Wilson-line geometries

Reference 79

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arxiv_id, observed 2026-05-12T10:41:30.438356Z

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Observation bfc6a03b-b166-4b44-83f8-e1c2c24dd615 · outbound

This paper cites On quartic colour factors in splitting functions and the gluon cusp anomalous dimension.

Properties and implications of the four-loop non-singlet splitting functions in QCD On quartic colour factors in splitting functions and the gluon cusp anomalous dimension

Reference 80

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arxiv_id, observed 2026-05-12T10:41:30.147040Z

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Observation 2b940aab-1ea6-402e-85ea-5f46645113bb · outbound

This paper cites V ogt, presented at Loops and Legs in Quantum Field Theory , Bayreuth, April 2026, indico.desy.de/event/48474/contributions/202725/attachments/103269/144265/avLL2026v2.pdf.

Properties and implications of the four-loop non-singlet splitting functions in QCD V ogt, presented at Loops and Legs in Quantum Field Theory , Bayreuth, April 2026, indico.desy.de/event/48474/contributions/202725/attachments/103269/144265/avLL2026v2.pdf

Reference 81

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Observation 22525a62-8947-4e6f-807a-a194958b31f4 · outbound

This paper cites Gorishnii, A.L.

Properties and implications of the four-loop non-singlet splitting functions in QCD Gorishnii, A.L

Reference 82

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Observation 35dc0459-343a-4458-8cb9-a9225e47619b · outbound

This paper cites The four-loop beta-function in Quantum Chromodynamics.

Properties and implications of the four-loop non-singlet splitting functions in QCD The four-loop beta-function in Quantum Chromodynamics

Reference 83

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arxiv_id, observed 2026-05-12T10:41:30.132849Z

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Observation 0f6c2994-2cb6-4e47-bbed-33af5d3d602a · outbound

This paper cites The Four-Loop QCD Beta-Function and Anomalous Dimensions.

Properties and implications of the four-loop non-singlet splitting functions in QCD The Four-Loop QCD Beta-Function and Anomalous Dimensions

Reference 84

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arxiv_id, observed 2026-05-12T10:41:30.109910Z

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Observation 7e1f0d54-cc76-47d6-a7cf-11cf87fe380e · outbound

This paper cites Determination of the anomalous dimension of gluonic operators in deep inelastic scattering at O(1/N_f).

Properties and implications of the four-loop non-singlet splitting functions in QCD Determination of the anomalous dimension of gluonic operators in deep inelastic scattering at O(1/N_f)

Reference 85

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arxiv_id, observed 2026-07-04T15:20:50.796279Z

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Observation 291bbae2-a84a-4d63-a599-be2eb7ac0792 · outbound

This paper cites Higher-order threshold resummation for semi-inclusive e^+e^- annihilation.

Properties and implications of the four-loop non-singlet splitting functions in QCD Higher-order threshold resummation for semi-inclusive e^+e^- annihilation

Reference 86

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arxiv_id, observed 2026-07-04T16:21:51.648151Z

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Observation 4da9ee05-ea83-4876-a0f7-09fb9d5792ff · outbound

This paper cites Sterman, Summation of Large Corrections to Short Distance Hadronic C ross-Sections, Nucl.

Properties and implications of the four-loop non-singlet splitting functions in QCD Sterman, Summation of Large Corrections to Short Distance Hadronic C ross-Sections, Nucl

Reference 87

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Observation 92cb3f9f-a55d-4c01-85ab-2e055a4a628e · outbound

This paper cites Catani and L.

Properties and implications of the four-loop non-singlet splitting functions in QCD Catani and L

Reference 88

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Observation ea3a97f4-2c75-4c5f-8ae3-0b7195393a90 · outbound

This paper cites Magnea, All Order Summation and Two Loop Results for the Drell-Yan Cr oss-section, Nucl.

Properties and implications of the four-loop non-singlet splitting functions in QCD Magnea, All Order Summation and Two Loop Results for the Drell-Yan Cr oss-section, Nucl

Reference 89

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Observation 2bb44ed6-5a45-466e-aba2-0f6d9f77f09e · outbound

This paper cites Catani, L.

Properties and implications of the four-loop non-singlet splitting functions in QCD Catani, L

Reference 90

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Observation ecf45f85-a259-43c5-a433-57048d8aaeaf · outbound

This paper cites Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell-Yan process.

Properties and implications of the four-loop non-singlet splitting functions in QCD Next-to-next-to-leading logarithmic threshold resummation for deep-inelastic scattering and the Drell-Yan process

Reference 91

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arxiv_id, observed 2026-05-12T10:41:30.173976Z

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Observation 8f63a659-9065-435a-8ec1-3d2bc83d2ede · outbound

This paper cites Soft-gluon resummation for Higgs boson production at hadron colliders.

Properties and implications of the four-loop non-singlet splitting functions in QCD Soft-gluon resummation for Higgs boson production at hadron colliders

Reference 92

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arxiv_id, observed 2026-05-12T10:41:30.062595Z

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Observation ff64af65-846b-4e56-92d1-31c789fa013c · outbound

This paper cites Higher-Order Corrections in Threshold Resummation.

Properties and implications of the four-loop non-singlet splitting functions in QCD Higher-Order Corrections in Threshold Resummation

Reference 93

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arxiv_id, observed 2026-05-12T10:41:30.054663Z

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Observation 6dbbd8f9-8884-41dc-aaa8-11b6d94b2b73 · outbound

This paper cites On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x.

Properties and implications of the four-loop non-singlet splitting functions in QCD On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x

Reference 94

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arxiv_id, observed 2026-05-12T10:41:30.321058Z

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Observation 16464e74-024d-4607-855b-599e020bb952 · outbound

This paper cites Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints.

Properties and implications of the four-loop non-singlet splitting functions in QCD Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints

Reference 95

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arxiv_id, observed 2026-05-12T10:41:29.883334Z

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Observation c7923ca0-374a-47b1-8a6a-2af15c43b32d · outbound

This paper cites On Sudakov and Soft resummations in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD On Sudakov and Soft resummations in QCD

Reference 96

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arxiv_id, observed 2026-05-12T10:41:30.235857Z

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Observation 51334046-50e5-4735-9253-f10da8e52572 · outbound

This paper cites Goyal, S.O.

Properties and implications of the four-loop non-singlet splitting functions in QCD Goyal, S.O

Reference 97

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arxiv_id, observed 2026-05-12T10:41:30.412929Z

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Observation be0fb386-601f-4c00-95a7-fbf728243198 · outbound

This paper cites The Collinear Limit of the Energy-Energy Correlator.

Properties and implications of the four-loop non-singlet splitting functions in QCD The Collinear Limit of the Energy-Energy Correlator

Reference 98

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arxiv_id, observed 2026-05-12T10:41:30.316557Z

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Observation 47688154-4d18-4844-a44c-97a878e81ca1 · outbound

This paper cites Five-loop contributions to low-N non-singlet anomalous dimensions in QCD.

Properties and implications of the four-loop non-singlet splitting functions in QCD Five-loop contributions to low-N non-singlet anomalous dimensions in QCD

Reference 99

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arxiv_id, observed 2026-05-12T10:41:30.041999Z

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Observation a3399d12-7dac-440c-baf7-77ec0d979eab · outbound

This paper cites The R*-operation for Feynman graphs with generic numerators.

Properties and implications of the four-loop non-singlet splitting functions in QCD The R*-operation for Feynman graphs with generic numerators

Reference 100

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arxiv_id, observed 2026-07-04T22:28:42.031921Z

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source=pdf_text observed=2026-05-07T04:15:59.634181Z digest=sha256:ab2a39a2e30d43c6b52b30fd064da35e999ef67176939fd9ce855cd1bdddb071

Pith citing papers

Observation 2cbd66bb-848b-48cc-8ebf-debee875d4cd · inbound

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

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space Properties and implications of the four-loop non-singlet splitting functions in QCD

Reference 12

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