High Energy Physics - Phenomenology · arXiv:1812.02548 v2 · submitted 6 Dec 2018
Collinearly improved kernel suppresses Coulomb tails in the impact-parameter dependent Balitsky-Kovchegov evolution
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“We find that the solutions do not present the Coulomb tails that have affected previous studies.”
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Abstract
We solved the impact-parameter dependent Balitsky-Kovchegov equation with the recently proposed collinearly imporved kernel. We find that the solutions do not present the Coulomb tails that have affected previous studies. We also show that once choosing an adequate initial condition it is possible to obtain a reasonable description of HERA data on the structure function of the proton, as well as on the cross section for the exclusive production of a J/ψ vector meson off proton targets. As a further application of the solutions, we computed the impact-parameter dependent Weiszäcker-Williams gluon distribution.
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| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We solved the impact-parameter dependent Balitsky-Kovchegov equation with the recently proposed collinearly imporved kernel. | contribution 0.59 | 0.96 | 0.07 | asserted 1.00 |
| We find that the solutions do not present the Coulomb tails that have affected previous studies. | result 1.00 | 0.96 | 0.72 | asserted 1.00 |
| We also show that once choosing an adequate initial condition it is possible to obtain a reasonable description of HERA data on the structure function of the proton, as well as on the cross section for the exclusive production of a $\mathrm{J/}\psi$ vector meson off proton targets. | result 0.97 | 0.94 | 0.20 | hedged possibility 0.50 |
| As a further application of the solutions, we computed the impact-parameter dependent Weisz\"acker-Williams gluon distribution. | contribution 0.66 | 0.96 | 0.06 | asserted 1.00 |
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Cited by 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- First measurement of the ${\mathbf{|\textit t|}}$-dependence of coherent $\mathbf{\rm{J/\psi}}$ photonuclear production nucl-ex · Jan 2021
- Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider hep-ph · Nov 2020
- Sub-femtometer scale color charge fluctuations in a proton made of three quarks and a gluon hep-ph · Oct 2020
- Photonuclear $\mathbf{\mathrm{J/}\psi}$ production at the LHC: proton-based versus nuclear dipole scattering amplitudes hep-ph · Jun 2020
How the literature uses it
19 arXiv papers cite this in 41 sentences
Papers citing it · 26 sentences without a confident label
Builds on it 1 paper
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In this contribution the studies reported in [ref] are extended to discuss in depth the behaviour of the collinearly improved kernel and of the solutions of the corresponding BK equation, comparing them to the rcBK case.
Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence · Introduction · 1.00
Uses its method or tool 3 papers
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In the presented model, we used the collinearly-improved kernel, which imposes a time-ordering of the new emissions and suppresses unphysically large daughter dipoles, and a new form of initial condition introduced in Ref. [ref] , which takes into account the end-points of the dipole and exponentially suppresses those far away from the target.
Predictions for future electron-ion colliders using the Balitsky--Kovchegov equation · QCD phenomenology with the b-BK equation · 0.99
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It is evaluated, as in our previous works [ref] , in the variable-number-of-flavours scheme.
Solutions to the Balitsky-Kovchegov equation including the dipole orientation · Brief overview of the formalism · 0.83
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Moreover, our calculations can be improved by performing the QCD evolution (dipole scattering amplitude) via the collinearly-improved Balitsky-Kovchegove equation whose Coulomb tails are strongly suppressed by the resumed kernel and can give the numerical version of the impact parameter dependent dipole scattering amplitude [ref] , which is our next step work.
Imaging constituent quark shape of proton with exclusive vector meson production at HERA · conclusions and discussions · 0.83
Compares with it 2 papers
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Coulomb tails were shown to be strongly suppressed for $b$-dependent solutions of the BK solutions evolved in the dipole rapidity [ref] .
Solutions to the Balitsky-Kovchegov equation including the dipole orientation · Results · 0.92
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It is interesting to note that the slope $1.06/√(r R)$ is close to one, that has been found in Ref. [ref] for $r = R = 10 GeV^-1$.
BFKL equation in the next-to-leading order: solution at large impact parameters · Numerical estimates · 0.97
Cites it as support 2 papers
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As was shown in [ref] , the solutions to the BK equation do not exhibit Coulomb tails when using the collinearly improved kernel.
Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence · Behaviour of the collinearly improved kernel · 0.99
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It has been demonstrated in Refs. [ref] , that the CGC equations [ref] as well as all other approaches, based on perturbative QCD, lead to the amplitude that increases as a power of energy, resulting in the violation of the Froissart theorem [ref] [It should be noted that NLO corrections to the kernel of CGC evolution equations does not change the power-like behaviour of the scattering amplitude but improve the situation moving the violation of the Froissart theorem to larger values of $b$ [ref] .].
Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data · Introduction · 0.97
Cites it as background 4 papers
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Studies in the literature for this process, which take into account effects due to gluon saturation, exist both on the level of dipole models [ref] and complete solutions to non-linear BK equation [ref] .
QCD evolution based evidence for the onset of gluon saturation in exclusive photo-production of vector mesons · Introduction · 0.83
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There have been numerous studies to indicate that the Color Glass Condensate (CGC) effective field theory can provide a natural and easy way to describe the deeply inelastic scattering (DIS) process [ref] .
Imaging constituent quark shape of proton with exclusive vector meson production at HERA · Introduction · 0.85
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For a more detailed discussion of the effective implementation of confinement scale effects in the dipole picture, see e.g. Refs. [ref] .
Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider · Effect of angular modulations in the GBW dipole amplitude · 0.98
What it cites · 29 sentences without a confident label
Uses the method or tool of 9 papers
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The collinearly improved kernel [ref] is given by [equation] It constitutes of four factors.
Exact kinematics in the small x evolution of the color dipole and gluon cascade · Introduction · 0.85
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The collinearly improved kernel [ref] is given by [equation] It constitutes of four factors.
Collinearly-improved BK evolution meets the HERA data · Introduction · 0.85
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The collinearly improved kernel [ref] is given by [equation] It constitutes of four factors.
Resumming double logarithms in the QCD evolution of color dipoles · Introduction · 0.85
Uses data or values from 1 paper
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Mass of the charm quark was fixed to 1.3 GeV/$c^2$; these values are the same as used in [ref] .
Collinearly-improved BK evolution meets the HERA data · Introduction · 0.91
Cites as background 26 papers
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These studies were based on a BK equation with a kernel including running coupling corrections [ref] .
Triumvirate of Running Couplings in Small-x Evolution · Introduction · 0.83
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These studies were based on a BK equation with a kernel including running coupling corrections [ref] .
Quark contribution to the small-$x$ evolution of color dipole · Introduction · 0.83
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In this context, the Balitsky-Kovchegov (BK) equation [ref] has been quite successful for phenomenological studies.
The Wilson renormalization group for low x physics: towards the high density regime · Introduction · 0.91
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