ISW-LSS cross-correlation in coupled Dark Energy models with massive neutrinos

The integrated Sachs-Wolfe effect (ISW) is a secondary anisotropy of the Cosmic Microwave Background (CMB) and a direct signature of Dark Energy (DE). The effect arises when a photon from the last scattering surface passes through a time-dependent gravi tational potential changing its energy so that additional temperature anisotropies are generated. Cosmic acceleration, causes the gravitational potentials to decay making the ISW effect highly sensitive to the presence of DE. Though difficult to detect directly in the CMB, it can be measured using correlations of the CMB with tracers of large scale structure (LSS) and has recently been detected using several LSS surveys. Cross-correlation is a powerful method to discriminate among different DE models a nd detect a possible interaction between DE and Dark Matter (DM). The aim of this project is to provide an exhaustive analysis of the ISW effect in the contest of the coupled DE cosmologies mainly focusing on the effects of the DM-DE coupling on the cro ss-correlation between galaxy distributions and ISW effect. Effects of massive neutrinos will be also included in the analysis. They induce a small decay of the gravitational potentials so that, in principle, ISW effect would also provide informations on their mass.Furthermore, it was recently shown that there exist a strong degeneracy between the DM-DE coupling strengh and the neutrino mass and that a cosmology with significant neutrino mass and coupling is statistically preferred to one with no coupling and almost massless neutrinos. In order to make theoretical predictions on ISW-galaxy correlation in such cosmologies, existing numerical codes will be conveniently implemented. Theoretical results will then be compared with current observational data and used to assess the possibility that upcoming CMB and galaxy surveys allow to distinguish among different models by means of redshift tomography techniques.