Probing gluon number fluctuation effects in future electron–hadron colliders

Abstract

The description of the QCD dynamics in the kinematical range which will be probed in the future electron -hadron colliders is still an open question. Although phenomenological studies indicate that the gluon number fluctuations, which are related to discreteness in the QCD evolution, are negligible at HERA, the magnitude of these effects for the next generation of colliders still should be estimated. In this paper we investigate inclusive and diffractive ep observables considering a model for the physical scattering amplitude which describes the HERA data. Moreover, we estimate, for the first time, the contribution of the fluctuation effects for the nuclear structure functions. Our results indicate that the study of these observables in the future colliders can be useful to constrain the presence of gluon number fluctuations.

Diffractive $ρ$ production at small $x$ in future Electron - Ion Colliders

“…[5]). During the last years many authors have proposed the study of several inclusive and diffractive observables [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] in order to search for non-linear effects in eA collisions. One of the most promising observables is the exclusive production of vector mesons or photons, which are experimentally clean and can be unambiguously identified by the presence of a rapidity gap in the final state.…”

Coulomb corrections to inclusive cross sections at the future Electron-Ion Collider

“…[7]). In particular, the enhancement of the non-linear effects with the nuclear mass number has motivated the development of several studies on the implications of these effects in inclusive and exclusive observables which could be measured in Electron -Ion Colliders [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. These studies have demonstrated that the eA collider is the ideal environment to improve our undestanding of the strong interactions at high energies.…”

“…Consequently, in order to describe the dipole -nucleus scattering one must take into account the multiple interactions of the dipole with the nuclear color field [7]. This aspect has been considered in the phenomenological works that have studied the impact of the non -linear corrections to the QCD dynamics on the observables that will be measured in the future eA collider [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. However, these studies have not taken into account the contribution of the Coulomb corrections to the dipole -nucleus interaction.…”

Diffractiveρproduction at smallxin future electron–ion colliders

“…Theoretically, the magnitude of the non-linear effects is expected to be amplified by the nuclear medium, which should allow us to determine the presence of gluon saturation effects, their magnitude and which is the correct theoretical framework for their description (for reviews see, e.g., [5]). During recent years many authors have proposed the study of several inclusive and diffractive observables [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] in order to search for non-linear effects in eA collisions. One of the most promising observables is the exclusive production of vector mesons or photons, which are experimentally clean and can be unambiguously identified by the presence of a rapidity gap in the final state.…”