CGC phenomenology at RHIC and the LHC

URA 2306, unite ́ de recherche associée au CNRS I present a brief review of the recent phenomenological analyses of RHIC data based on the the Color Glass Condensate, including the use of non-linear evolution equations with running coupling. In particular, I focus in the study of the total multiplicities in Au+Au collisions, and in the single inclusive and double inclusive forward spectra in d+Au collisions. Predictions for the LHC are also discussed At high energies, QCD scattering enters a novel regime governed by large gluon densities and coherent, non-linear phenomena, including saturation of the hadronic wave functions, known as the Color Glass Condensate (CGC) (see e.g., the review 1 and references therein). Nuclear collisions performed at RHIC provide a good opportunity to explore the CGC regime, since the gluon densities in a nucleus are already large even at moderate energies. The recent calculation of running coupling corrections 2,3,4,5 to the BK-JIMWLK evolution equations of the CGC allows for a good quantitative description of several experimental measurements, thus reducing the degree of modelization required in phenomenological studies. Here I present a brief review of the phenomenological analyses of RHIC data based on the use of Balitsky-Kovchegov equation 6,7 including running coupling correction (rcBK) for the description of the small-x degrees of freedom of the wavefunction of the colliding nuclei. We also discuss predictions for the LHC. The rcBK equation for the small-x evolution of the dipole scattering amplitude reads ∂N (x, r) ∂ ln(x0/x