Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach

Understand

Future large scale structure observations are expected to be sensitive to small neutrino masses, of the order of 0.05 eV or more.

• However, forecasts are based on the assumption that by the time at which these datasets will be available, the non-linear spectrum in presence of neutrino mass will be predicted with an accuracy at least equal to the neutrino mass effect itself, i.e.
• about 3%.
• Motivated by these considerations, we present the computation of the non-linear power spectrum of LambdaCDM models in the presence of massive neutrinos using the Renormalization Group time-flow approach, which amounts to a resummation of perturbative corrections to the matter power spectrum to all orders.