Asymptotic gluon density within the color dipole picture in the light of HERA high-precision data

Abstract

We present an analysis of the most precise set of HERA data within the color dipole formalism, by using an analytical gluon density, based on the double-logarithm approximation of the DGLAP equations in the asymptotic limit of the scaling variable, $\sigma =\log (1/x)\log (\log (Q^2/Q_0^2))\to \infty$. Fits to data, including charm and bottom quarks are performed and demonstrate the efficiency of the model in describing the reduced cross section, ${\sigma }_r$, in the wide range $Q^2:(1.5,500)$ GeV${}^2$ for two dipole models including parton saturation effects. We also give predictions to $F_2^{c\bar{c}}$ , $F_2^{b\bar{b}}$ and $F_L$, all describing the data reasonably well in the range $Q^2:(2.5,120)$ GeV${}^2$. Total cross sections of exclusive photoproduction of $J/\psi$ and $\rho$ are also calculated and successfully compared to HERA data and recent measurements at LHCb.

arXiv comment17 pages, 9 figures, 6 tables. Matches published version

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