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APS » Journals » Phys. Rev. Lett. » Volume 100 » Issue 19
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Phys. Rev. Lett. 100, 191301 (2008) [4 pages]

Impact of Massive Neutrinos on the Nonlinear Matter Power Spectrum

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Shun Saito1, Masahiro Takada2,3, and Atsushi Taruya3,4
1Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
2Astronomical Institute, Tohoku University, Sendai 980-8578, Japan
3Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo, Chiba 277-8582, Japan
4Research Center for the Early Universe (RESCEU), School of Science, The University of Tokyo, Tokyo 113-0033, Japan

Received 25 December 2007; revised 30 April 2008; published 14 May 2008

We present the first attempt to analytically study the nonlinear matter power spectrum for a mixed dark matter model containing neutrinos of total mass ∼0.1  eV, based on cosmological perturbation theory. The suppression in the power spectrum amplitudes due to massive neutrinos is enhanced in the weakly nonlinear regime. We demonstrate that, thanks to this enhanced effect, the use of such a nonlinear model may enable a precision of σ(mν,tot)∼0.07  eV in constraining the total neutrino mass for the planned galaxy redshift survey, a factor of 2 improvement compared to the linear regime.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.191301
DOI:
10.1103/PhysRevLett.100.191301
PACS:
98.80.Es, 14.60.Pq, 98.65.Dx
 
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