A Rederivation of the Spin-dependent Next-to-leading Order Splitting Functions

W. Vogelsang (Rutherford)

RECORD

A Rederivation of the Spin-dependent Next-to-leading Order Splitting Functions

W. Vogelsang (Rutherford)

High Energy Physics - Phenomenology · Submitted 3 Dec 1995

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We confirm the results of the recent calculation by Mertig and van Neerven.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-ph/9512218 (version 2)

Pith IDQOJ4M3EP, Pith's permanent record of this paper and its review

CitationW. Vogelsang (Rutherford). "A Rederivation of the Spin-dependent Next-to-leading Order Splitting Functions." arXiv:hep-ph/9512218 (1995). https://pith.science/paper/QOJ4M3EP

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,240 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.96 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We perform a new calculation of the polarized next-to-leading order splitting functions, using the method developed by Curci, Furmanski and Petronzio. We confirm the results of the recent calculation by Mertig and van Neerven.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We perform a new calculation of the polarized next-to-leading order splitting functions, using the method developed by Curci, Furmanski and Petronzio.	contribution 0.85	0.96	0.11	asserted 0.99
s1	We confirm the results of the recent calculation by Mertig and van Neerven.	result 0.96	0.70	0.51	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We perform a new calculation of the polarized next-to-leading order splitting functions, using the method developed by Curci, Furmanski and Petronzio. We confirm the results of the recent calculation by Mertig and van Neerven.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The Three-Loop Splitting Functions in QCD: The Singlet Case
hep-ph 2004-04 accept novelty 8.0 of 10

The complete three-loop singlet splitting functions of QCD are computed exactly in Mellin-N and Bjorken-x space, with compact parametrizations for numerical evolution codes.
Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory
hep-ph 2025-07 conditional novelty 7.0 of 10

SCET factorization and one-loop matching for polarized DIS g1(x), g2(x) as x approaches 1, including anomalous dimensions and twist-three operator relations.
The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
hep-ph 2014-09 conditional novelty 7.0 of 10

The paper presents the first complete set of next-to-next-to-leading-order splitting functions for longitudinally polarized parton densities in perturbative QCD.
The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
hep-ph 2021-07 conditional novelty 6.0 of 10

An independent off-shell-operator calculation confirms the known three-loop non-singlet QCD anomalous dimensions and supplies the transversity ones directly for the first time.
Automation of next-to-leading order computations in QCD: the FKS subtraction
hep-ph 2009-08 accept novelty 6.0 of 10

The authors automate the Frixione-Kunszt-Signer subtraction formalism inside MadGraph, producing MadFKS, a code that computes NLO QCD cross sections for arbitrary processes in e+e- collisions given the finite virtual ...

Show 4 more citing papers

The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
hep-ph 2019-08 conditional novelty 5.0 of 10

The authors recompute the T_F-proportional pieces of the polarized three-loop QCD anomalous dimensions using massive operator matrix elements and find full agreement with the published 2014 results.
The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
hep-ph 2021-11 accept novelty 4.0 of 10

An independent off-shell operator-matrix-element calculation reproduces the known three-loop polarized singlet anomalous dimensions and finds a small-x mismatch with infrared-evolution predictions.
Electron Ion Collider: The Next QCD Frontier - Understanding the glue that binds us all
nucl-ex 2012-12 unverdicted novelty 3.0 of 10

A community white paper lays out the physics case, golden measurements, and machine and detector requirements for a proposed US Electron-Ion Collider aimed at gluon-dominated QCD.
The Theory of Deeply Inelastic Scattering
hep-ph 2012-08 accept novelty 1.0 of 10

A comprehensive review of perturbative QCD calculations for unpolarized and polarized deeply inelastic scattering, covering coefficient functions, anomalous dimensions, heavy-flavor and target-mass corrections, and th...

How the literature uses it

20 arXiv papers cite this in 26 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 3 papers

In particular our findings are in agreement with the supersymmetric relation $\gamma_{qq}^{m}+\gamma_{gq}^{m}-\gamma_{qg}^{m}-\gamma_{gg}^{m}=0$ up to order $\alpha_s^2$.

The Calculation of the Two-Loop Spin Splitting Functions $P_{ij}^{(1)}(x)$ · 0.93
We present a brief description of the light-cone gauge calculation of the spin-dependent next-to-leading order splitting functions.

The Polarized Two-loop Splitting Functions · 0.88
We present a complete description of the calculation of the spin-dependent next-to-leading order splitting functions.

The spin-dependent two-loop splitting functions · 0.86

Papers citing it · 16 sentences without a confident label

Uses its data or values 2 papers

The QCD results are taken from [ref] .

Polarized Deep Inelastic Scattering as $x \to 1$ using Soft Collinear Effective Theory · DIS Coefficients as N to Infinity · 0.96
[ref] we obtain ΔP_gg(z,) = 2(1/1-z-2z+1+2 (1-z)),

Automation of next-to-leading order computations in QCD: the FKS subtraction · Integration of matrix elements of given helicities · 0.81

Compares with it 1 paper

Note the partly different normalizations comparing the splitting functions given in Refs. [ref] .]

$O(\alpha_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2 \gg m^2$ · Heavy flavor structure functions in polarized deep–inelastic scattering · 0.94

Cites it as background 6 papers

The anomalous dimensions were calculated to 2–loop order [ref] and to 3–loop order in [ref] .

The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering · The Formalism · 0.82
While the QCD splitting functions are known at LO [ref] , NLO [ref] and NNLO [ref] , the global analysis is still restricted to NLO QCD precision.

QED corrections to parton distributions and Altarelli-Parisi splitting functions in the polarized case · Introduction · 0.92
Out of a wide range of methods that have been applied to compute splitting functions up to three loops [ref] , only few approaches are suitable to carry on through four loops.

Renormalisation of singlet operators to four loops · Introduction · 0.92

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.