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Title: Non-linear power spectrum including massive neutrinos: the time-RG flow approach

Journal Article · · Journal of Cosmology and Astroparticle Physics
;  [1];  [2];  [3]
  1. CERN, PH-TH Division, CH-1211, Geneve 23 (Switzerland)
  2. Dipartimento di Fisica, Università di Padova, Via Marzolo, 8 - I-35131 Padua (Italy)
  3. INFN, Sezione di Padova, Via Marzolo, 8 - I-35131 Padua (Italy)

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 ΛCDM models in the presence of massive neutrinos using the Renormalization Group (RG) time-flow approach, which amounts to a resummation of perturbative corrections to the matter power spectrum to all orders. We compare our results with those obtained with other methods, i.e. linear theory, one-loop perturbation theory and N-body simulations and show that the time-RG method improves the one-loop method in fitting the N-body data, especially in determining the suppression of the matter power spectrum when neutrino are massive with respect to the linear power spectrum.

OSTI ID:
22273147
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 06; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
Country of Publication:
United States
Language:
English