a rXiv:08 2.37 v1 [astro-ph] 26 Fe b 2 8The Effect of Thermal Neutrino Motion on the Non-linear Cosmological Matter Power Spectrum Jacob Brandbyge 1,Steen Hannestad 1,Troels Haugbølle 1,2,Bjarne Thomsen 1E-mail:jacobb@phys.au.dk,sth@phys.au.dk,haugboel@phys.au.dk,bt@phys.au.dk 1Department of Physics and Astronomy,University of Aarhus,Ny Munkegade,Bygn.1520,8000,Aarhus,Denmark 2Instituto de F´ısica Te´o rica UAM-CSIC,Universidad Aut´o noma de Madrid,Cantoblanco,28049,Madrid,Spain Abstract.We have performed detailed studies of non-linear structure formation in cosmological models with light neutrinos.For the first time the effect of neutrino thermal velocities has been included in a consistent way,and the effect on the matter power spectrum is found to be significant.The effect is large enough to be measured in future,high precision surveys.Additionally,we provide a simple but accurate analytic expression for the suppression of fluctuation power due to massive neutrinos.Finally,we describe a simple and fast method for including the effect of massive neutrinos in large-scale N -body simulations which is accurate at the 1%level for m ν 0.15eV.PACS numbers:98.65.Dx,95.35.+d,14.60.Pq Preprint:IFT-UAM/CSIC-08-11
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