{"arxiv_id":"1812.02548","incoming":{"papers":19,"sentences":41,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1907.12123","title":"Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence","url":"/paper/1907.12123","section":"Introduction","sentence":"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.","intent_p":1.0,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":4,"quotes":[{"arxiv_id":"2212.13761","title":"Predictions for future electron-ion colliders using the Balitsky--Kovchegov equation","url":"/paper/2212.13761","section":"QCD phenomenology with the b-BK equation","sentence":"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.","intent_p":0.99,"contests_p":null},{"arxiv_id":"2309.02910","title":"Solutions to the Balitsky-Kovchegov equation including the dipole orientation","url":"/paper/2309.02910","section":"Brief overview of the formalism","sentence":"It is evaluated, as in our previous works [ref] , in the variable-number-of-flavours scheme.","intent_p":0.83,"contests_p":null},{"arxiv_id":"2308.10136","title":"Imaging constituent quark shape of proton with exclusive vector meson production at HERA","url":"/paper/2308.10136","section":"conclusions and discussions","sentence":"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.","intent_p":0.83,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":3,"quotes":[{"arxiv_id":"2309.02910","title":"Solutions to the Balitsky-Kovchegov equation including the dipole orientation","url":"/paper/2309.02910","section":"Results","sentence":"Coulomb tails were shown to be strongly suppressed for $b$-dependent solutions of the BK solutions evolved in the dipole rapidity [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"1906.09603","title":"BFKL equation in the next-to-leading order: solution at large impact parameters","url":"/paper/1906.09603","section":"Numerical estimates","sentence":"It is interesting to note that the slope $1.06/√(r R)$ is close to one, that has been found in Ref. 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[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] .].","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"1904.04394","title":"QCD evolution based evidence for the onset of gluon saturation in exclusive photo-production of vector mesons","url":"/paper/1904.04394","section":"Introduction","sentence":"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] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"2308.10136","title":"Imaging constituent quark shape of proton with exclusive vector meson production at HERA","url":"/paper/2308.10136","section":"Introduction","sentence":"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] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"2011.02464","title":"Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider","url":"/paper/2011.02464","section":"Effect of angular modulations in the GBW dipole amplitude","sentence":"For a more detailed discussion of the effective implementation of confinement scale effects in the dipole picture, see e.g. Refs. 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