On the universality of the Milan factor for 1/Q power corrections to jet shapes

A. Lucenti; G. Marchesini; G. P. Salam; Yu. L. Dokshitzer

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On the universality of the Milan factor for 1/Q power corrections to jet shapes

Yu. L. Dokshitzer, A. Lucenti, G. Marchesini, G. P. Salam

High Energy Physics - Phenomenology · Submitted 20 Feb 1998

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

The authors' main claim We show that the rescaling factor recently derived for the thrust case (the Milan factor) remains the same for the class of observables which includes the C-parameter, invariant jet masses, jet broadening and the energy-energy correlation measure.

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arXiv IDhep-ph/9802381 (version 4)

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CitationA. Lucenti, G. Marchesini, G. P. Salam, Yu. L. Dokshitzer. "On the universality of the Milan factor for 1/Q power corrections to jet shapes." arXiv:hep-ph/9802381 (1998). https://pith.science/paper/BH2AXAPS

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.83 · mentions code or data availability 0.02.

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We perform the two-loop analysis of the 1/Q power corrections to jet-shape variables. This step is necessary for producing reliable theoretical predictions for the relative magnitudes of genuine confinement effects. We show that the rescaling factor recently derived for the thrust case (the Milan factor) remains the same for the class of observables which includes the C-parameter, invariant jet masses, jet broadening and the energy-energy correlation measure. We list the expressions which should be used for extracting 1/Q power effects in jet shapes. We also envisage large non-perturbative effects, characterised by fractional powers of Q, in certain semi-inclusive observables such as the height of the spectrum of Drell-Yan lepton pairs with invariant mass Q and transverse momentum Q_t=0, and back-to-back energy flows in e^+e^- and DIS.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We perform the two-loop analysis of the 1/Q power corrections to jet-shape variables.	contribution 0.82	0.96	0.04	asserted 0.94
s1	This step is necessary for producing reliable theoretical predictions for the relative magnitudes of genuine confinement effects.	background 0.71	0.12	0.03	asserted 0.99
s2	We show that the rescaling factor recently derived for the thrust case (the Milan factor) remains the same for the class of observables which includes the C-parameter, invariant jet masses, jet broadening and the energy-energy correlation measure.	result 1.00	0.91	0.90	asserted 1.00
s3	We list the expressions which should be used for extracting 1/Q power effects in jet shapes.	contribution 0.91	0.82	0.05	asserted 0.95
s4	We also envisage large non-perturbative effects, characterised by fractional powers of Q, in certain semi-inclusive observables such as the height of the spectrum of Drell-Yan lepton pairs with invariant mass Q and transverse momentum Q_t=0, and back-to-back energy flows in e^+e^- and DIS.	result 0.38	0.39	0.04	speculative 0.69

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

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Original abstract

We perform the two-loop analysis of the 1/Q power corrections to jet-shape variables. This step is necessary for producing reliable theoretical predictions for the relative magnitudes of genuine confinement effects. We show that the rescaling factor recently derived for the thrust case (the Milan factor) remains the same for the class of observables which includes the C-parameter, invariant jet masses, jet broadening and the energy-energy correlation measure. We list the expressions which should be used for extracting 1/Q power effects in jet shapes. We also envisage large non-perturbative effects, characterised by fractional powers of Q, in certain semi-inclusive observables such as the height of the spectrum of Drell-Yan lepton pairs with invariant mass Q and transverse momentum Q_t=0, and back-to-back energy flows in e^+e^- and DIS.

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References

Forward citations

Cited by 15 Pith papers

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

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Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory
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How the literature uses it

22 arXiv papers cite this in 51 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 · 35 sentences without a confident label

Builds on it 1 paper

The analysis at this level has already been carried out for event-shape variables [ref] and below we report on it for the jet $p_t$ case.

Hadronisation corrections for jets in the k_t algorithm · The single-gluon result · 0.99

Uses its method or tool 2 papers

In essence, the result is expressed in terms of a corresponding next-to-leading correction to the Born process in a fictitious theory where the gluon has a finite mass, plus a “remainder” correction that accounts for the difference of the calculation in the massive case with respect to the one performed in the full theory [ref] .

Infrared Renormalons in Kinematic Distributions for Hadron Collider Processes · Our calculation · 0.98
[ref] , where the role of the effective coupling of eq.

Fits of $\alpha_s$ using power corrections in the three-jet region · Calculation of the observable distributions · 0.96

Uses its data or values 1 paper

with $ℳ = 1.49$ a constant normalization factor (Milan factor [ref] ) accounting for higher-order contributions.

Second-order QCD corrections to event shape distributions in deep inelastic scattering · Hadronization effects · 0.84

Compares with it 2 papers

[ref] and, thus, find that the universal constant factor that we identify in the context of the three-jet calculations is related to the so called “Milan factor” of refs.

Linear power corrections to $e^+e^-$ shape variables in the three-jet region · Introduction · 0.88
This result agrees with the dispersive approach [ref] , and also explains why it only applies for the first power correction in the expansion of shape-function.

Power Corrections to Event Shapes with Mass-Dependent Operators · Boost Invariance · 0.86

Cites it as background 6 papers

Some previous extractions of the strong coupling from event shape moments [ref] and event shape distributions [ref] have used an analytic hadronization model based on the dispersive approach to power corrections [ref] .

Determination of $\alpha_{S}$ beyond NNLO using event shape averages · Modeling of non-perturbative corrections · 0.80
[ref] , and an analytic form for the Milan factor was extracted from explicit calculations for the $C$-parameter in the two-jet limit in refs.

Linear power corrections to $e^+e^-$ shape variables in the three-jet region · Relation to the Milan-factor approach · 0.86
They were first explored in the mid-1990's [ref] and are among the key elements that are extensively debated in determinations of the strong coupling constant from event shapes [ref] , with tensions of up to $3$ standard deviations [ref] relative to the world average [ref] .

Anomalous scaling of linear power corrections · Introduction · 0.96

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