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Energy dependence of the ridge in high multiplicity proton-proton collisions
High Energy Physics - Phenomenology · Submitted 15 Sep 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We demonstrate that the recent measurement of azimuthally collimated, long range rapidity ("ridge") correlations in $\sqrt{s}=13$ TeV proton-proton (p+p) collisions by the ATLAS collaboration at the LHC are in agreement with expectations from the color glass condensate effective theory of high energy QCD.
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The abstract, sentence by sentence
We demonstrate that the recent measurement of azimuthally collimated, long range rapidity ("ridge") correlations in $\sqrt{s}=13$ TeV proton-proton (p+p) collisions by the ATLAS collaboration at the LHC are in agreement with expectations from the color glass condensate effective theory of high energy QCD. The observation that the integrated near side yield as a function of multiplicity is independent of collision energy is a natural consequence of the fact that multiparticle production is driven by a single semi-hard saturation scale in the color glass condensate framework. We argue further that the azimuthal structure of these recent ATLAS ridge measurements strongly constrain hydrodynamic interpretations of such correlations in high multiplicity p+p collisions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We demonstrate that the recent measurement of azimuthally collimated, long range rapidity ("ridge") correlations in $\sqrt{s}=13$ TeV proton-proton (p+p) collisions by the ATLAS collaboration at the LHC are in agreement with expectations from the color glass condensate effective theory of high energy QCD. | result 0.78 | 0.73 | 0.81 | asserted 1.00 |
| s1 | The observation that the integrated near side yield as a function of multiplicity is independent of collision energy is a natural consequence of the fact that multiparticle production is driven by a single semi-hard saturation scale in the color glass condensate framework. | interpretation 0.92 | 0.38 | 0.22 | asserted 0.99 |
| s2 | We argue further that the azimuthal structure of these recent ATLAS ridge measurements strongly constrain hydrodynamic interpretations of such correlations in high multiplicity p+p collisions. | interpretation 0.97 | 0.44 | 0.26 | asserted 0.76 |
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The paper
Original abstract
We demonstrate that the recent measurement of azimuthally collimated, long range rapidity ("ridge") correlations in $\sqrt{s}=13$ TeV proton-proton (p+p) collisions by the ATLAS collaboration at the LHC are in agreement with expectations from the color glass condensate effective theory of high energy QCD. The observation that the integrated near side yield as a function of multiplicity is independent of collision energy is a natural consequence of the fact that multiparticle production is driven by a single semi-hard saturation scale in the color glass condensate framework. We argue further that the azimuthal structure of these recent ATLAS ridge measurements strongly constrain hydrodynamic interpretations of such correlations in high multiplicity p+p collisions.
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References
How the literature uses it
19 arXiv papers cite this in 33 sentences
Papers citing it · 21 sentences without a confident label
Uses its method or tool 1 paper
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One way to test this within our framework is to employ the Glasma graph approximation [ref] , valid for $p_⊥> Q_s,T$.
Multiparticle collectivity from initial state correlations in high energy proton-nucleus collisions · Introduction · 0.93
Compares with it 2 papers
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A quantitative comparison of the near-side yield in $p+p$ collisions between initial state calculations [ref] using the Glasma graph + BFKL approach and the experimental data at $7$ and $13$ TeV from the CMS collaboration [ref] is shown in Fig. [ref].
Collectivity in small collision systems : an initial state perspective · p+p collisions · 0.94
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In this section, we show how our present calculation fundamentally differs from the so-called “Glasma graph" result [ref] .
Parton model description of multiparticle azimuthal correlations in $pA$ collisions · Appendix: Glasma graph approximation · 0.82
Cites it as support 2 papers
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Such energy independent scaling is naturally explained within the framework of CGC [ref] .
Collectivity in small collision systems : an initial state perspective · p+p collisions · 0.97
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The fact that the near-side yield is approximately energy independent is also explained naturally within this framework [ref] .
Initial state and pre-equilibrium effects in small systems · p+p collisions · 0.99
Cites it as background 6 papers
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Several alternative approaches based on final state [ref] and initial state [ref] dynamics have provided competing arguments in this context.
Collectivity in small collision systems : an initial state perspective · Introduction · 0.92
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For large $p_T > Q_s,T$, the quasiparticle nature of color fields is relevant and the QCD dynamics can be represented in terms of Feynman diagrams, the so-called Glasma graphs [ref] .
What does the matter created in high multiplicity proton-nucleus collisions teach us about the 3-D structure of the proton? · Introduction · 0.90
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The dilute-dense approximation [ref] of the CGC EFT consists of keeping terms in the solution of the QCD Yang-Mills equations to compute inclusive gluon amplitudes that are to lowest order in the ratio $ρ_p/k_⊥,p^2$ in the projectile but to all orders in the ratio $ρ_t/k_⊥,t^2$ in the target [A further glasma graph approximation corresponds to the regime where one expands to lowest order in both $ρ_p/k_⊥,p^2$ and $ρ_t/k_⊥,t^2$ [ref] .].
Systematics of azimuthal anisotropy harmonics in proton-nucleus collisions at the LHC from the Color Glass Condensate · Introduction · 0.80
What it cites · 48 sentences without a confident label
Uses the method or tool of 7 papers
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The unintegrated gluon distributions can be expressed in terms of $T(x,r_⊥)$–the forward scattering amplitude of a quark-antiquark dipole of transverse size $r_⊥$ on a proton/nuclear target-through the expression [equation] The unintegrated gluon distribution at a given momentum fraction $x$ is obtained by solving the Balitsky-Kovchegov (BK) renormalization equation [ref] .
Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges · Introduction · 0.80
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The unintegrated gluon distributions can be expressed in terms of $T(x,r_⊥)$–the forward scattering amplitude of a quark-antiquark dipole of transverse size $r_⊥$ on a proton/nuclear target-through the expression [equation] The unintegrated gluon distribution at a given momentum fraction $x$ is obtained by solving the Balitsky-Kovchegov (BK) renormalization equation [ref] .
Operator expansion for high-energy scattering · Introduction · 0.80
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The implementation we use for our study includes the running coupling next-to-leading-log (NLL) correction to BK, hereafter referred as the rcBK equation [ref] .
Quark contribution to the small-$x$ evolution of color dipole · Introduction · 0.82
Uses data or values from 4 papers
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This leaves only the parameter $ζ$, which was extracted previously by an independent $$ factorization analysis of data on $n$-particle multiplicity distributions [ref] and estimated to be $ζ=1/6$.
Saturation models of HERA DIS data and inclusive hadron distributions in p+p collisions at the LHC · Introduction · 0.99
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This leaves only the parameter $ζ$, which was extracted previously by an independent $$ factorization analysis of data on $n$-particle multiplicity distributions [ref] and estimated to be $ζ=1/6$.
QCD saturation at the LHC: comparisons of models to p+p and A+A data and predictions for p+Pb collisions · Introduction · 0.99
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The value of $^2=0.168$ GeV$^2$ (in the fundamental representation) describes the minimum bias [ref] HERA deeply inelastic electron-proton scattering data.
Analysis of combined HERA data in the Impact-Parameter dependent Saturation model · Introduction · 0.97
Compares with 2 papers
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On the same plot we show comparisons to recent preliminary data form the ATLAS collaboration at 13 TeV [ref] along with the previously measured CMS data at 7 TeV [ref] .
Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC · Introduction · 0.92
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On the same plot we show comparisons to recent preliminary data form the ATLAS collaboration at 13 TeV [ref] along with the previously measured CMS data at 7 TeV [ref] .
Observation of long-range near-side angular correlations in proton-lead collisions at the LHC · Introduction · 0.92
Cites as background 13 papers
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The azimuthal structure of the two particle correlations results from an interplay between mini-jet (more generically di-jet) production along with glasma graph contributions at high gluon densities [ref] .
Evidence for BFKL and saturation dynamics from di-hadron spectra at the LHC · Introduction · 0.93
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The azimuthal structure of the two particle correlations results from an interplay between mini-jet (more generically di-jet) production along with glasma graph contributions at high gluon densities [ref] .
Explanation of systematics of CMS p+Pb high multiplicity di-hadron data at $\sqrt{s}_{\rm NN} = 5.02$ TeV · Introduction · 0.93
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The systematics of azimuthally correlated, long-range rapidity correlations–the so-called ridge correlations–have recently been measured in small systems ranging from proton-proton (p+p), proton-nucleus (p+A), deuteron-nucleus (d+A) and Helium 3-nucleus ($^3$He+A) collisions at both RHIC and LHC [ref] .
Observation of long-range near-side angular correlations in proton-lead collisions at the LHC · Introduction · 0.91
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