Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
Julien Lesgourgues,Julien Lesgourgues,Julien Lesgourgues,Sabino Matarrese,Massimo Pietroni,Antonio Riotto +5 more
TL;DR: In this article, the non-linear power spectrum of LambdaCDM models in the presence of massive neutrinos is computed using the Renormalization Group time-flow approach, which amounts to a resummation of perturbative corrections to the matter power spectrum to all orders.
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Abstract: 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. 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.
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Seven-year wilkinson microwave anisotropy probe (wmap *) observations: cosmological interpretation
Eiichiro Komatsu,Kristine M. Smith,Jo Dunkley,Charles L. Bennett,B. Gold,Gary Hinshaw,Norman Jarosik,Davin Larson,M. R. Nolta,Lyman A. Page,David N. Spergel,Mark Halpern,Robert S. Hill,A. Kogut,Michele Limon,S. S. Meyer,N. Odegard,Gregory S. Tucker,Janet Weiland,Edward J. Wollack,Edward L. Wright +20 more
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Eiichiro Komatsu,Jo Dunkley,Jo Dunkley,M. R. Nolta,Charles L. Bennett,B. Gold,Gary Hinshaw,N. Jarosik,Davin Larson,Michele Limon,Lyman A. Page,David N. Spergel,Mark Halpern,Robert S. Hill,Alan J. Kogut,S. S. Meyer,Gregory S. Tucker,Janet Weiland,Edward J. Wollack,Edward L. Wright +19 more
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