Two-gluon correlations and initial conditions for small-x evolution

Adrian Dumitru; Elena Petreska; Jamal Jalilian-Marian

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Two-gluon correlations and initial conditions for small-x evolution

Adrian Dumitru, Jamal Jalilian-Marian, Elena Petreska

High Energy Physics - Phenomenology · Submitted 20 May 2011

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The authors' main claim Therefore, it appears prudent to include such higher dimensional operators when determining initial ensembles for JIMWLK evolution of higher n-point functions of Wilson lines.

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arXiv ID1105.4155 (version 2)

Pith IDCZGLE27P, Pith's permanent record of this paper and its review

CitationAdrian Dumitru, Elena Petreska, Jamal Jalilian-Marian. "Two-gluon correlations and initial conditions for small-x evolution." arXiv:1105.4155 (2011). https://pith.science/paper/CZGLE27P

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.70 · mentions code or data availability 0.02.

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We derive the effective action of the hard large-x valence charges up to fourth order in their density. Such non-Gaussian weight functionals contribute at leading order in N_c to the connected two-gluon production diagrams which determine di-hadron correlations. The corresponding diagrams are not necessarily (highly) suppressed by the density of valence charges since their infrared divergences differ from those obtained in a Gaussian theory. Therefore, it appears prudent to include such higher dimensional operators when determining initial ensembles for JIMWLK evolution of higher n-point functions of Wilson lines.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We derive the effective action of the hard large-x valence charges up to fourth order in their density.	contribution 0.85	0.95	0.08	asserted 1.00
s1	Such non-Gaussian weight functionals contribute at leading order in N_c to the connected two-gluon production diagrams which determine di-hadron correlations.	result 0.76	0.63	0.23	asserted 1.00
s2	The corresponding diagrams are not necessarily (highly) suppressed by the density of valence charges since their infrared divergences differ from those obtained in a Gaussian theory.	interpretation 0.69	0.50	0.14	hedged possibility 0.73
s3	Therefore, it appears prudent to include such higher dimensional operators when determining initial ensembles for JIMWLK evolution of higher n-point functions of Wilson lines.	interpretation 0.69	0.28	0.71	hedged possibility 0.96

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Original abstract

We derive the effective action of the hard large-x valence charges up to fourth order in their density. Such non-Gaussian weight functionals contribute at leading order in N_c to the connected two-gluon production diagrams which determine di-hadron correlations. The corresponding diagrams are not necessarily (highly) suppressed by the density of valence charges since their infrared divergences differ from those obtained in a Gaussian theory. Therefore, it appears prudent to include such higher dimensional operators when determining initial ensembles for JIMWLK evolution of higher n-point functions of Wilson lines.

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Cited by 9 Pith papers

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

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Combining Glasma graphs from saturation physics with BFKL-resummed back-to-back emission quantitatively reproduces CMS di-hadron spectra in high-multiplicity p+p collisions and predicts a ridge in p+Pb.
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Color Glass Condensate calculations using rcBK-evolved unintegrated gluon distributions reproduce the CMS per-trigger ridge yields in high-multiplicity pp collisions and bound radial flow in pp to beta of about 0.25.
Renormalization group evolution of multi-gluon correlators in high energy QCD
hep-ph 2011-08 conditional novelty 6.0 of 10

Full JIMWLK evolution shows the naive large-Nc factorization of the quadrupole Wilson-line correlator fails, while a Gaussian truncation reproduces it closely for Nc=3.
Explanation of systematics of CMS p+Pb high multiplicity di-hadron data at $\sqrt{s}_{\rm NN} = 5.02$ TeV
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The Color Glass Condensate framework, with parameters fixed from proton-proton fits, reproduces the centrality and transverse-momentum systematics of CMS proton-lead di-hadron correlations.

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Comparison of the Color Glass Condensate to di-hadron correlations in proton-proton and proton-nucleus collisions
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The Color Glass Condensate framework, with one normalization per collision system, reproduces the long-range di-hadron ridge in p+p and p+Pb data from CMS, ALICE and ATLAS, supporting a gluon-saturation origin.
Angular and long range rapidity correlations in particle production at high energy
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The ridge can arise from boost-invariant gluon wavefunctions scattering on domain-like color fields, and a proper Nc treatment requires non-Gaussian correlations and Pomeron loops.
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Gluon saturation remains unconfirmed: existing proton data cannot separate saturated from unsaturated models, and the authors argue a future electron-ion collider is needed to decide.
Gluon saturation and initial conditions for relativistic heavy ion collisions
hep-ph 2014-01 accept novelty 2.0 of 10

The review argues that a single saturation-based framework consistently describes small-x data from electron-proton through nucleus-nucleus collisions and supplies the initial conditions for hydrodynamic models of the...

How the literature uses it

20 arXiv papers cite this in 23 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 · 18 sentences without a confident label

Builds on it 1 paper

It will be interesting to see if one can use our results to generalize and extend the McLerran-Venugopalan (small $x$) effective action [ref] to include contributions of large $x$ gluons.

Elastic scattering of a quark from a color field: longitudinal momentum exchange · Discussion and summary · 0.81

Compares with it 1 paper

This approach would differ from other attempts to go beyond the MV model such as [ref] which focuses on power of $1/A$ suppressed corrections in the MV effective action or [ref] which considers only a single gluon emission from a valence quark in the computation of the two-point correlator.

Universality aspects of quantum corrections to transverse momentum broadening in QCD media · Summary · 0.98

Cites it as background 3 papers

The Color Glass Condensate (CGC) formalism (see [ref] for reviews) is an effective field theory approach to QCD at high energies which relies on the fact that at high energy (or at small $x$) a hadron or nucleus wave function contains many gluons, referred to as gluon saturation [ref] , and hence is a dense many-body system which is most efficiently described via semi-classical methods [ref] .

Quark jets scattering from a gluon field: from saturation to high $p_t$ · Introduction · 0.96
Since there are many possible QCD contributions to the combinatorial background [ref] , an estimate of this quantity is less reliable in our framework, though in principle feasible in future.

Comparison of the Color Glass Condensate to di-hadron correlations in proton-proton and proton-nucleus collisions · Quantitative study of di-hadron correlations at wide rapidity separations · 0.86
Similar modifications to the Gaussian average have been considered before in the context of the McLerran-Venugopalan (MV [ref] ) model (see e.g. [ref] ).

JIMWLK evolution of the odderon · Introduction · 0.86

What it cites · 16 sentences without a confident label

Uses the method or tool of 1 paper

This can in principle be done numerically using lattice gauge theory methods [ref] .

Subleading-N_c corrections in non-linear small-x evolution · Two-point function and unintegrated gluon distribution · 0.84

Cites as support 2 papers

Our motivation derives from the recent observation of a “ridge” in two-particle correlations from high-multiplicity $pp$ [ref] as well as heavy-ion collisions [ref] .

Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC · Introduction · 0.98
This can be seen also from a model which assumes splitting of the four-point function into two-point functions (“ladders”) with non-zero individual transverse momenta [ref] .

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