Long range azimuthal correlations of multiple gluons in gluon saturation limit

Özönder, Şener

doi:10.1103/physrevd.93.054036

Cited by 7 publications

(13 citation statements)

References 38 publications

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“…[ [29][30][31], we suggested that investigating the three-hadron correlations could rule out one of the two mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Predictions on three-particle azimuthal correlations in proton--proton collisions

Özönder¹

2018

Turk J Phys

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The ridge signal, which is long-ranged in rapidity, in the di-hadron correlations in high-multiplicity p-p and p-A collisions opened up a whole new research area in high-energy QCD. Although the ridge had been observed in A-A collisions and interpreted as a result of the radial flow of quark-gluon plasma, it had not appeared until recently in the data of small collision systems such as p-p and p-A, nor had it been predicted theoretically or seen in the event generators. There are two competing approaches that attempt to explain the systematics of the di-hadron ridge signal; hydrodynamics and gluon saturation physics (color glass condensate/glasma). In this work, we present predictions for the transverse momentum and rapidity dependence of the three-particle correlation function within the gluon saturation physics. Trihadron correlations can be measured, and the data can possibly rule out one of the two alternative approaches.

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“…[ [29][30][31], we suggested that investigating the three-hadron correlations could rule out one of the two mechanisms.…”

Section: Introductionmentioning

confidence: 99%

Predictions on three-particle azimuthal correlations in proton--proton collisions

Özönder¹

2018

Turk J Phys

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“…In Ref. [38], we derived the formula for the n-gluon correlation function C n with full momentum and rapidity dependence by using the glasma superdiagrams we developed. Here we quote the formulas that we will use in the next section to derive five-and six-gluon correlation functions.…”

Section: Formula Of N-gluon Correlation Functionmentioning

confidence: 99%

“…4 The formulas for N 1,2 given in Ref. [38] included a typo and missed the prefactor f n , and the prefactor in the second brackets mistakenly read 2 h instead of 2h. These mistakes in Ref.…”

Section: Formula Of N-gluon Correlation Functionmentioning

confidence: 99%

“…The former is found by means of superdiagrams, and the latter is found by means of the rainbow cumulant expansion. In this work, we will show only the relevant superdiagrams for C 5 and C 6 , but we will not explain how they are drawn, for which we refer the interested reader to our earlier work [38].…”

Section: Formula Of N-gluon Correlation Functionmentioning

confidence: 99%

“…Then, we review the recipe developed in Ref. [38] that yields the ngluon correlation function. Following that, we will derive the five-and six-gluon correlation functions and verify by using the modified cumulant expansion that the number of terms, each of which corresponds to a connected glasma diagram, in these correlation functions is correct.…”

Section: Introductionmentioning

confidence: 99%

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Cumulant expansion in gluon saturation and five- and six-gluon azimuthal correlations

Özönder

2017

Phys. Rev. D

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Correlations between the momenta of the final state hadrons measured in proton or nucleus collisions contain information that sheds light on the initial conditions and evolutionary dynamics of the collision system. These correlation measurements have revealed the long-range rapidity correlations in p-p and p-Pb systems, and they have also made it possible to extract the elliptic flow coefficient from hadron correlation measurements. In this work, we calculate five-and six-gluon correlation functions in the framework of saturation physics by using superdiagrams. We also derive the cumulant expansion of the gluon correlators that is valid in the gluon saturation limit. We show that the cumulant expansion of the gluon correlators that is used for counting the number of diagrams to be calculated does not follow the standard cumulant expansion. We also explain how these findings can be used in obtaining experimentally relevant observables such as flow coefficients calculated from correlations as well as ratios of the correlation functions of different orders.

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Systematic procedure for analyzing cumulants at any order

et al. 2017

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We present a systematic procedure for analyzing cumulants to arbitrary order in the context of heavy-ion collisions. It generalizes and improves existing procedures in many respects. In particular, particles which are correlated are allowed to belong to different phase-space windows, which may overlap. It also allows for the analysis of cumulants at any order, using a simple algorithm rather than complicated expressions to be derived and coded by hand. In the case of azimuthal correlations, it automatically corrects to leading order for detector non-uniformity, and it is useful for numerous other applications as well. We discuss several of these applications: anisotropic flow, event-plane correlations, symmetric cumulants, net baryon and net charge fluctuations.

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Long range azimuthal correlations of multiple gluons in gluon saturation limit

Cited by 7 publications

References 38 publications

Predictions on three-particle azimuthal correlations in proton--proton collisions

Predictions on three-particle azimuthal correlations in proton--proton collisions

Cumulant expansion in gluon saturation and five- and six-gluon azimuthal correlations

Systematic procedure for analyzing cumulants at any order

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