Angular Scaling in Jets

Andrew J. Larkoski; Martin Jankowiak

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Angular Scaling in Jets

Martin Jankowiak, Andrew J. Larkoski

High Energy Physics - Phenomenology · Submitted 12 Jan 2012

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

The authors' main claim For small R it is close to the value 2 as a consequence of the approximately scale invariant QCD dynamics.

how it is stated · asserted 0.98 read the record →

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,159 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.49 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.79 · compares with prior results 0.12 · 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 introduce a jet shape observable defined for an ensemble of jets in terms of two-particle angular correlations and a resolution parameter R. This quantity is infrared and collinear safe and can be interpreted as a scaling exponent for the angular distribution of mass inside the jet. For small R it is close to the value 2 as a consequence of the approximately scale invariant QCD dynamics. For large R it is sensitive to non-perturbative effects. We describe the use of this correlation function for tests of QCD, for studying underlying event and pile-up effects, and for tuning Monte Carlo event generators.

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 introduce a jet shape observable defined for an ensemble of jets in terms of two-particle angular correlations and a resolution parameter R.	contribution 1.00	0.92	0.08	asserted 1.00
s1	This quantity is infrared and collinear safe and can be interpreted as a scaling exponent for the angular distribution of mass inside the jet.	interpretation 0.66	0.65	0.18	asserted 0.99
s2	For small R it is close to the value 2 as a consequence of the approximately scale invariant QCD dynamics.	result 0.86	0.48	0.18	asserted 0.98
s3	For large R it is sensitive to non-perturbative effects.	result 0.83	0.52	0.09	asserted 1.00
s4	We describe the use of this correlation function for tests of QCD, for studying underlying event and pile-up effects, and for tuning Monte Carlo event generators.	contribution 0.81	0.72	0.11	asserted 0.96

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from argument 0.60.

What was examined, and what was not

sources read

arXiv listing abstract v2

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

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P abstract

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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 introduce a jet shape observable defined for an ensemble of jets in terms of two-particle angular correlations and a resolution parameter R. This quantity is infrared and collinear safe and can be interpreted as a scaling exponent for the angular distribution of mass inside the jet. For small R it is close to the value 2 as a consequence of the approximately scale invariant QCD dynamics. For large R it is sensitive to non-perturbative effects. We describe the use of this correlation function for tests of QCD, for studying underlying event and pile-up effects, and for tuning Monte Carlo event generators.

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References

Forward citations

Cited by 6 Pith papers

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

New Angles on Energy Correlation Functions
hep-ph 2016-09 conditional novelty 7.0 of 10

Generalizing energy correlation functions to weight v of the pairwise angles yields three new jet-substructure ratios (M_i, N_i, U_i) that outperform D2 and N-subjettiness in parton-shower studies, with N_i reproducin...
Analytic Boosted Boson Discrimination
hep-ph 2015-07 conditional novelty 7.0 of 10

An all-orders QCD factorization theorem for the two-prong jet discriminant D2 reproduces Monte Carlo D2 spectra for boosted Z jets and massive QCD jets, and yields analytic signal-versus-background efficiency curves.
Toward Multi-Differential Cross Sections: Measuring Two Angularities on a Single Jet
hep-ph 2014-01 conditional novelty 7.0 of 10

The double-differential cross section for two angularities on one jet factorizes at phase-space boundaries but not in the bulk, and a scale-setting interpolation connects the two boundary factorization theorems to nex...
Energy Correlation Functions for Jet Substructure
hep-ph 2013-04 accept novelty 7.0 of 10

Ratios of generalized energy correlation functions tag N-prong jet substructure without subjet finding, and the two-point ratio separates quark from gluon jets better than jet angularities at small angular exponent.
Recursive Soft Drop
hep-ph 2018-04 conditional novelty 6.0 of 10

Applying the Soft Drop grooming condition recursively, N times down the clustering tree, narrows the reconstructed mass peak of boosted W, top, and Higgs jets by roughly 10 to 20 percent relative to single-pass Soft Drop.

Show 1 more citing papers

Jet Substructure at the Tevatron and LHC: New results, new tools, new benchmarks
hep-ph 2011-12 accept novelty 4.0 of 10

A community review and benchmark comparison finds that groomed, hybrid, and jet-shape top taggers outperform subjet-only taggers, while differences among the best methods are comparable to Monte Carlo and detector unc...

How the literature uses it

12 arXiv papers cite this in 22 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 citing it · 13 sentences without a confident label

Builds on it 1 paper

Here, we will continue the work of [ref] and compute the average angular structure function by resummation within the context of SCET.

QCD Analysis of the Scale-Invariance of Jets · Introduction · 1.00

Uses its method or tool 1 paper

The results presented here could be used to determine the average contribution to a jet using the procedure introduced in [ref] .

QCD Analysis of the Scale-Invariance of Jets · Conclusions · 0.98

Cites it as background 7 papers

We study boosted gluinos using jet-substructure techniques [ref] , which have matured enormously in recent years and are being verified experimentally [ref] (for some recent reviews see [ref] ).

Boosted Multijet Resonances and New Color-Flow Variables · Introduction · 0.85
Recently, there has been an increasing number of analytical studies of jet substructure observables, including the calculation of the signal distribution for $N$-subjettiness to next-to-next-to-next-to-leading-log order [ref] , a fixed-order prediction for planar flow [ref] , calculations of groomed jet masses [ref] and the jet profile/ shape [ref] for both signal and background jets, an analytic understanding of jet charge [ref] , predictions for fractional jet multiplicity [ref] , and calculations of the associated subjet rate [ref] .

Analytic Boosted Boson Discrimination · Introduction · 0.91
Recently, there has been an increasing number of analytical studies of jet substructure observables, including the calculation of the signal distribution for $N$-subjettiness to next-to-next-to-next-to-leading-log order [ref] , a fixed-order prediction for planar flow [ref] , calculations of groomed jet masses [ref] and the jet profile/ shape [ref] for both signal and background jets, an analytic understanding of jet charge [ref] , predictions for fractional jet multiplicity [ref] , and calculations of the associated subjet rate [ref] .

Effective Field Theories for the LHC · Introduction · 0.91

What it cites · 7 sentences without a confident label

Uses the method or tool of 11 papers

To cluster jets, we use the FastJet v. 2.4.2 [ref] implementation of the anti-kT algorithm [ref] .

FastJet user manual · Monte Carlo · 1.00
To cluster jets, we use the FastJet v. 2.4.2 [ref] implementation of the anti-kT algorithm [ref] .

The anti-k_t jet clustering algorithm · Monte Carlo · 1.00
For the underlying event Herwig++ makes use of tune `LHC-UE7-2' [ref] and Pythia8 makes use of tune `4C' [ref] .

Interleaved Parton Showers and Tuning Prospects · Monte Carlo · 0.88

Compares with 2 papers

This is in contrast to, e.g., the integrated jet shape $Ψ(R)$ [ref] , which requires a detailed calculation even for its leading order behavior [ref] .

Large Jets at Hadron Colliders at Order $\alpha_s^3$: A Look Inside · Calculating the average · 0.98
This is in contrast to, e.g., the integrated jet shape $Ψ(R)$ [ref] , which requires a detailed calculation even for its leading order behavior [ref] .

Jet Shapes in Hadron Collisions: Higher Orders, Resummation and Hadronization · Calculating the average · 0.98

Cites as background 2 papers

Before moving on we would like to draw a connection to a recent analysis on the factorizability of jet substructure observables in soft-collinear effective theory (SCET) [ref] .

Factorization Constraints on Jet Substructure · Factorization · 0.94
Recently, there has been considerable interest in jet substructure [ref] .

Boosted objects: a probe of beyond the Standard Model physics · Introduction · 0.99

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