Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence

Bendova, D.; Cepila, J.; Contreras, J. G.; Maťaš, Marek

doi:10.1103/physrevd.100.054015

Cited by 46 publications

(60 citation statements)

References 79 publications

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“…To conclude, we can see from the above discussion that the prescription of the QCD running coupling has a strong impact on the rapidity dependence of the S-matrix. The SDRC prescription takes a dramatic suppression on the evolution speed of the dipole scattering amplitude, which is favored by HERA data [18,35] and satisfies the theoretical expectations [21].…”

Section: Collinearly Improved Balitsky-kovchegov Equation and Its mentioning

confidence: 80%

“…However, the recent studies in Refs. [17,18,35] found that the evolution equation with the SDRC prescription has been advocated to be the correct QCD running coupling prescription, since it is favored by the HERA data at a phenomenological level. It was also pointed out in Ref.…”

Section: Solutions To the Evolution Equations With The Smallest mentioning

confidence: 99%

“…The stablized full NLO BK equation was solved numerically and its numerical solution gives a rather good description to the small x HERA data [17,18,24]. However, this numerical process is very cumbersome to use in practice, due to the intricate programming for solving an integro-differential equation and time-costing for running the program.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, It was found that a very good description of the small x HERA data was obtained by using the collinearly improved NLO BK equation with the smallest dipole running coupling (SDRC) prescription among several different prescriptions of QCD running coupling. The significance of the argument of the coupling constant α s was aroused [17,18].…”

Section: Introductionmentioning

confidence: 99%

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High-energy asymptotic behavior of the S matrix in the saturation region with the smallest dipole running coupling prescription

et al. 2020

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We present results from analytic solutions to the running coupling, full next-to-leading order, and collinearly improved next-to-leading order Balitsky-Kovchegov equations in the saturation region with the smallest dipole size QCD running coupling prescription. The analytic results of the S-matrix of the latter two equations show that the exp(−O(Y 3/2 )) rapidity dependence of the solutions are replaced by exp(−O(Y )) dependence once the running coupling prescription is switched from parent dipole to the smallest dipole prescription, which indicate that the S-matrix has a strong dependence on the choice of running coupling prescription. We compute the numerical solutions of these Balitsky-Kovchegov equations with the smallest and parent dipole running coupling prescriptions, the numerical results confirm the analytic outcomes. The rare fluctuations of the S-matrix on top of next-to-leading order corrections are also studied under the smallest dipole running coupling prescription in the center of mass frame. It shows that the rare fluctuations are strongly suppressed and less important in the smallest dipole running coupling prescription case as compared to the parent dipole running coupling prescription case. * Electronic address:

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Section: Collinearly Improved Balitsky-kovchegov Equation and Its mentioning

confidence: 80%

Section: Solutions To the Evolution Equations With The Smallest mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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High-energy asymptotic behavior of the S matrix in the saturation region with the smallest dipole running coupling prescription

et al. 2020

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“…At first sight the recent papers [25,26] have questioned the need of a new dimensional scale, since they demonstrate that the next-to-leading order BFKL equation generates the exponential type of the impact parameter behavior without the need of a new dimensional scale. However, it turns out [27] that the NLO corrections do not change the powerlike decrease of the scattering amplitude at large impact parameter, generating the exponential-type decreases in the large but limited region of the values of the impact parameter.…”

Section: Introductionmentioning

confidence: 99%

Large impact parameter behavior in the CGC/saturation approach: A new nonlinear equation

Gotsman

Levin

2020

Phys. Rev. D

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In this paper we propose a solution to the long standing problem present in the color glass condensate/ saturation approach: i.e., the powerlike fall off of the scattering amplitudes at large b. We propose a new nonlinear equation, which takes into account random walks both in transverse momenta of the produced gluons, and in their impact parameter. We demonstrate, that this equation is in accord with previous attempts to include diffusion in impact parameters in the Balitsky-Fadin-Kuraev-Lipatov evolution equation. We show in the paper, that the solution to a new equation results in the exponential decrease of the scattering amplitude at large impact parameter, and in the restoration of the Froissart theorem.

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Energy dependence of coherent photonuclear production of J/ψ mesons in ultra-peripheral Pb-Pb collisions at $$ \sqrt{{\textrm{s}}_{\textrm{NN}}} $$ = 5.02 TeV

Acharya,

Adamová,

Adler

et al. 2023

J. High Energ. Phys.

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The cross section for coherent photonuclear production of J/ψ is presented as a function of the electromagnetic dissociation (EMD) of Pb. The measurement is performed with the ALICE detector in ultra-peripheral Pb-Pb collisions at a centre-of-mass energy per nucleon pair of $$ \sqrt{{\textrm{s}}_{\textrm{NN}}} $$ s NN = 5.02 TeV. Cross sections are presented in five different J/ψ rapidity ranges within |y| < 4, with the J/ψ reconstructed via its dilepton decay channels. In some events the J/ψ is not accompanied by EMD, while other events do produce neutrons from EMD at beam rapidities either in one or the other beam direction, or in both. The cross sections in a given rapidity range and for different configurations of neutrons from EMD allow for the extraction of the energy dependence of this process in the range 17 < Wγ Pb,n < 920 GeV, where Wγ Pb,n is the centre-of-mass energy per nucleon of the γPb system. This range corresponds to a Bjorken-x interval spanning about three orders of magnitude: 1.1 × 10−5 < x < 3.3 × 10−2. In addition to the ultra-peripheral and photonuclear cross sections, the nuclear suppression factor is obtained. These measurements point to a strong depletion of the gluon distribution in Pb nuclei over a broad, previously unexplored, energy range. These results, together with previous ALICE measurements, provide unprecedented information to probe quantum chromodynamics at high energies.

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Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence

Cited by 46 publications

References 79 publications

High-energy asymptotic behavior of the S matrix in the saturation region with the smallest dipole running coupling prescription

High-energy asymptotic behavior of the S matrix in the saturation region with the smallest dipole running coupling prescription

Large impact parameter behavior in the CGC/saturation approach: A new nonlinear equation

Energy dependence of coherent photonuclear production of J/ψ mesons in ultra-peripheral Pb-Pb collisions at $$ \sqrt{{\textrm{s}}_{\textrm{NN}}} $$ = 5.02 TeV

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