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

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 pr...

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Autores principales: Lesgourgues, Julien, Matarrese, Sabino, Pietroni, Massimo, Riotto, Antonio
Lenguaje:eng
Publicado: 2009
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2009/06/017
http://cds.cern.ch/record/1158163
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author Lesgourgues, Julien
Matarrese, Sabino
Pietroni, Massimo
Riotto, Antonio
author_facet Lesgourgues, Julien
Matarrese, Sabino
Pietroni, Massimo
Riotto, Antonio
author_sort Lesgourgues, Julien
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
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spelling cern-11581632023-03-15T19:11:32Zdoi:10.1088/1475-7516/2009/06/017http://cds.cern.ch/record/1158163engLesgourgues, JulienMatarrese, SabinoPietroni, MassimoRiotto, AntonioNon-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow ApproachAstrophysics and AstronomyFuture 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.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.arXiv:0901.4550LAPTH-1298-08CERN-PH-TH-2008-248LAPTH-1298-08CERN-PH-TH-2008-248oai:cds.cern.ch:11581632009-01-29
spellingShingle Astrophysics and Astronomy
Lesgourgues, Julien
Matarrese, Sabino
Pietroni, Massimo
Riotto, Antonio
Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
title Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
title_full Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
title_fullStr Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
title_full_unstemmed Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
title_short Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
title_sort non-linear power spectrum including massive neutrinos: the time-rg flow approach
topic Astrophysics and Astronomy
url https://dx.doi.org/10.1088/1475-7516/2009/06/017
http://cds.cern.ch/record/1158163
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AT pietronimassimo nonlinearpowerspectrumincludingmassiveneutrinosthetimergflowapproach
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