2006
DOI: 10.1103/physrevd.73.123501
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Detecting neutrino mass difference with cosmology

Abstract: Cosmological parameter estimation exercises usually make the approximation that the three standard neutrinos have degenerate mass, which is at odds with recent terrestrial measurements of the difference in the square of neutrino masses. In this paper we examine whether the use of this approximation is justified for the cosmic microwave background (CMB) spectrum, matter power spectrum and the CMB lensing potential power spectrum. We find that, assuming δm 2 23 ∼ 2.5 × 10 −3 eV 2 in agreement with recent Earth b… Show more

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Cited by 35 publications
(33 citation statements)
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“…However, there is some sensitivity to individual masses, due to features in the power spectrum arising from the different redshifts when the neutrinos become nonrelativistic. The effects are weak (Slosar 2006), but a large, deep weak lensing survey in combination with Planck, could exploit this signal and tighten the above constraints further. Thus, the LSST survey, together with CMB observations, could offer valuable constraints on neutrino properties highly complementary to particle physics parameters.…”
Section: Measurement Of the Sum Of The Neutrino Massmentioning
confidence: 99%
“…However, there is some sensitivity to individual masses, due to features in the power spectrum arising from the different redshifts when the neutrinos become nonrelativistic. The effects are weak (Slosar 2006), but a large, deep weak lensing survey in combination with Planck, could exploit this signal and tighten the above constraints further. Thus, the LSST survey, together with CMB observations, could offer valuable constraints on neutrino properties highly complementary to particle physics parameters.…”
Section: Measurement Of the Sum Of The Neutrino Massmentioning
confidence: 99%
“…Generally, if the mass distribution of neutrino species is non-degenerate, the constraints on total neutrino mass from cosmological data may change. This happens for several reasons (see, e.g., Slosar, 2006), in particular since most massive neutrino species become non-relativistic earlier and spectrum of linear density perturbations is suppressed at smaller scales. Also, if neutrino mass is larger then approximately 0.5 eV, they become non-relativistic before recombination and significantly change angular power spectrum of CMB anisotropy.…”
Section: Different Mass Distributions Of Neutrino Speciesmentioning
confidence: 99%
“…Finally, we consider the neutrinos to be completely mass degenerate given that current inferred bounds are much greater than the splitting hierarchies. The potential of future surveys to discriminate the mass hierarchy has been discussed in [15][16][17][18][19][20].…”
mentioning
confidence: 99%