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Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 51 inbound Pith citation observations for arXiv:hep-ph/0403192.

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pith.paper-citation-record.v1
hep-ph/0403192 v1

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Pith citing papers itemized under the disclosed page cap.

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Source: pith, observed 2026-07-10T15:47:23.123959Z

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Pith citing papers

Observation c754933f-dfaf-4148-b6d3-5031e4d72c6a · inbound

Soft corrections to inclusive DIS at four loops and beyond cites this paper.

Soft corrections to inclusive DIS at four loops and beyond The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 10

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Observation 26609ceb-5ac1-4a25-a2ff-2a6336f45390 · 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 Non-Singlet Case

Reference 35

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Observation ad149e60-74c8-4eac-ac28-a0e65beafbeb · 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 Non-Singlet Case

Reference 63

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Observation 47ee6061-1e30-41d9-842a-45cb7c080b23 · 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 Non-Singlet Case

Reference 91

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Observation 742871b1-c969-4ab4-808f-85c06c79736d · 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 Non-Singlet Case

Reference 89

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Observation cf81869e-1858-4b59-821c-3a14c5d372b8 · inbound

Second-order QCD corrections to event shape distributions in deep inelastic scattering cites this paper.

Second-order QCD corrections to event shape distributions in deep inelastic scattering The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 59

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Observation c992d7f0-3c27-445d-99c9-a9a87b6a7505 · 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 Non-Singlet Case

Reference 14

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Observation 84ff3fb9-92aa-4c71-b17c-2c39979b7e45 · 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 Non-Singlet Case

Reference 138

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Observation c9b03c07-ff2e-4333-b775-9dd646759c25 · inbound

The Three-Point Energy Correlator in the Coplanar Limit cites this paper.

The Three-Point Energy Correlator in the Coplanar Limit The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 126

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Observation 7f6085e7-c222-49a7-a652-08b654d26a42 · inbound

Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory cites this paper.

Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 171

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Observation fdd37a67-f45e-41da-89ac-e7c676d18045 · 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 Non-Singlet Case

Reference 76

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Observation fcaf942f-8d6a-4377-b46c-aaf0921b4d25 · inbound

Investigating the universality of five-point QCD scattering amplitudes at high energy cites this paper.

Investigating the universality of five-point QCD scattering amplitudes at high energy The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 97

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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 Non-Singlet Case

Reference 107

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Observation bd220c8a-8847-42ee-b4b3-9eeabb50b891 · 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 Non-Singlet Case

Reference 63

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Observation 4c18aff6-a2e9-4b3a-8a13-2db5133859eb · inbound

Heavy quark mass effects in the Energy-Energy Correlation in the back-to-back region cites this paper.

Heavy quark mass effects in the Energy-Energy Correlation in the back-to-back region The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 63

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Observation 7a1e2571-9486-4b95-9749-d6c29e47b0f0 · inbound

Three-loop jet function for boosted heavy quarks cites this paper.

Three-loop jet function for boosted heavy quarks The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 101

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Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function cites this paper.

Quark Transverse Spin-Momentum Correlation of the Pion from Lattice QCD: The Boer-Mulders Function The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 59

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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 Non-Singlet Case

Reference 55

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Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness cites this paper.

Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 77

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Observation 74f0434f-3677-4b09-a8f6-6e6126180428 · inbound

Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD cites this paper.

Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 67

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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 Non-Singlet Case

Reference 82

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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 Non-Singlet Case

Reference 1

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Mapping Parton Distributions of Hadrons with Lattice QCD cites this paper.

Mapping Parton Distributions of Hadrons with Lattice QCD The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 185

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Anomalous dimensions at small spins cites this paper.

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

Reference 1

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Observation 2b535f12-458c-4364-9bef-84747a2c8e00 · 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 Non-Singlet Case

Reference 211

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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 Non-Singlet Case

Reference 58

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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 Non-Singlet Case

Reference 72

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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 Non-Singlet Case

Reference 48

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Parton Distribution Functions and their Generalizations cites this paper.

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

Reference 107

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The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs cites this paper.

The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 52

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Observation e1ea6675-4ba8-44d7-a348-e6af0a96b1ab · 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 Non-Singlet Case

Reference 41

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Observation 90b442c1-45e1-4566-9813-c181f836b938 · 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 Non-Singlet Case

Reference 50

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Observation 7de53d8f-3681-4980-b04b-13076533592d · inbound

Approximate N$^2$LO and N$^3$LO QCD Predictions for $tW$ Production cites this paper.

Approximate N$^2$LO and N$^3$LO QCD Predictions for $tW$ Production The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 42

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Observation 5acb90e2-2acb-47ea-8d2c-d91ac75f0e4c · inbound

Threshold resummation of Semi-Inclusive Deep-Inelastic Scattering cites this paper.

Threshold resummation of Semi-Inclusive Deep-Inelastic Scattering The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 22

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Observation f2efa2b3-ad81-450d-b74c-99fcadbd31c6 · 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 Non-Singlet Case

Reference 4

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Observation a7989602-f01f-407d-8e56-362252fa98ec · 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 Non-Singlet Case

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:16:02.379148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T16:44:13.520224Z digest=sha256:0e145ad390e11e7069dc6126ef3a772686653f8ed37bc62ca2aec3529019d9b6

Observation f0d2b3fa-156c-4b2f-8a05-8a89fc5e20f5 · inbound

Progress on the soft anomalous dimension in QCD cites this paper.

Progress on the soft anomalous dimension in QCD The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:01:11.342645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T02:28:33.324731Z digest=sha256:c2037528eaa6b0542d390814650253633da3b90cc4eb37fcd7c4ba2a486ccb24

Observation 735af8dc-3220-47d0-b6c7-35aca6646328 · 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 Non-Singlet Case

Reference 19

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-07T04:15:59.634181Z digest=sha256:1ead7dbf2cb7e3d6adfaa59c966969ebd05dbc4f35af5df4dd0a6b7d8f06281a

Observation cb100c01-b809-4977-b6e2-075d4fae5137 · 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 Non-Singlet Case

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-12T05:26:24.133569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-12T05:24:57.121356Z digest=sha256:82ed3dd9bdbf4953155d968a68cbb742e00afd34b884a374b10d49d4aa1d19fd

Observation 8973cc15-9bfb-4815-b9df-a30d021159be · 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 Non-Singlet Case

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-06-30T22:45:07.581435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T22:42:06.439017Z digest=sha256:0d7fdc43123faa2893e2ac6545cde07c94f6a34d9a2aadeda74fd16653fd5e9d

Observation e7e693ee-d12d-451a-8c61-93ef0e9f4d42 · 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 Non-Singlet Case

Reference 110

Resolution
verified exact
local_arxiv, observed 2026-06-30T15:54:49.879765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T15:44:46.504975Z digest=sha256:137b99cd91e8247cd57707418f99865e0e507aa92d255a020be4edf1ff0e3aff

Observation 636b0b7c-18a3-40a7-aebc-a26857a953b0 · inbound

The Collins-Soper kernel from a vacuum soft function cites this paper.

The Collins-Soper kernel from a vacuum soft function The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 79

Resolution
verified exact
local_arxiv, observed 2026-07-04T03:09:30.727643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-26T18:18:26.633181Z digest=sha256:727b767fc5ec0bdd98ed0cbcbf96f0a1a957dd61c0edaa52aba2d9a9a3f988cc

Observation bed9c837-d79d-460d-80e5-4c31d21641a6 · inbound

PDF evolution in alternative factorisation schemes cites this paper.

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

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-07-04T11:39:47.272370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-26T07:49:13.440535Z digest=sha256:d7c4dd3477a57d6bc5366255a54f6c2d7c78e5492a2bf3483c97992dbe05003e

Observation b651d95d-d599-40fe-ae84-2f5bd54ef11c · 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 Non-Singlet Case

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-07-04T11:39:47.540792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-26T07:46:59.105515Z digest=sha256:2a9fb416b0e542167b2ad277aa13302c54983500848e64b22e9c01477299eb42

Observation 4bc85b24-a0f9-44d0-9c8a-64f28bcf1d5f · inbound

Event-axis TMD measurements in $e^+e^-$ and SIDIS cites this paper.

Event-axis TMD measurements in $e^+e^-$ and SIDIS The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-07-03T09:37:48.599161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-03T09:36:48.734860Z digest=sha256:146bc631c72afd6f0eeeec1d42ebfc83b90d956f5cab5abf3ca8da3c8c0b5a0c

Observation 4f05bc78-ab2d-48c9-9673-5bdfa9755276 · inbound

QCD for electroweak precision measurements: Foundations cites this paper.

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

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-07-10T15:47:23.125135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:84f4909a7331a02bd8d13292c9d0bc7c0f888164b4ec3572192e8362b3563a33

Observation 059e7f0f-5949-4264-a3de-0c9cae2b71e2 · 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 Non-Singlet Case

Reference 90

Resolution
unresolved
no resolver link, observed 2026-08-02T06:20:31.286157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:20:31.286157Z digest=sha256:f649caa50e920a001347cefa4668ecb1854b9619276b0ca3ecfc741d4b4cc0a1

Observation bb6b9798-b6b7-4b04-b9ed-c55cbb3569c9 · 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 Non-Singlet Case

Reference 203

Resolution
unresolved
no resolver link, observed 2026-07-31T10:42:20.626342Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T10:42:20.626342Z digest=sha256:81ed68c3ea2b73c205524a71dba57409c62f81a493150f157581617c76207f67

Observation dfff2201-3348-4fd5-ae10-bb4db8e52143 · inbound

NNLO Determination of Polarized Parton Distribution Functions with Higher-Twist and Target-Mass Corrections cites this paper.

NNLO Determination of Polarized Parton Distribution Functions with Higher-Twist and Target-Mass Corrections The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 38

Resolution
unresolved
no resolver link, observed 2026-07-31T04:00:02.336792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:00:02.336792Z digest=sha256:5a1201b5b64866e05b8ccf3c8c34a7b5157976a1497b7bdf80cd4ddd76de9369

Observation 5327f5cb-8f05-4898-bd6c-19dc589f2ba6 · inbound

Heavy Jet Mass in Hadronic Higgs Decays cites this paper.

Heavy Jet Mass in Hadronic Higgs Decays The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-01T03:17:56.031814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:17:56.031814Z digest=sha256:38a3a903553b443ddc8772e47778d7900e3263b147466f9002928823241a8852

Observation 1ad787c3-a6c5-4f95-b9e6-c7efa138e925 · inbound

Strongly Coupled Soft Functions cites this paper.

Strongly Coupled Soft Functions The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-14T04:23:31.393771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:23:31.393771Z digest=sha256:28706f02846926de5f0d114157449cc71b7a18f8a103f06e62f63440cf056372