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Title: Probing neutrino masses with CMB lensing extraction

Abstract

We evaluate the ability of future cosmic microwave background (CMB) experiments to measure the power spectrum of large scale structure using quadratic estimators of the weak lensing deflection field. We calculate the sensitivity of upcoming CMB experiments such as BICEP, QUaD, BRAIN, ClOVER and Planck to the nonzero total neutrino mass M{sub {nu}} indicated by current neutrino oscillation data. We find that these experiments greatly benefit from lensing extraction techniques, improving their one-sigma sensitivity to M{sub {nu}} by a factor of order four. The combination of data from Planck and the SAMPAN mini-satellite project would lead to {sigma}(M{sub {nu}}){approx}0.1 eV, while a value as small as {sigma}(M{sub {nu}}){approx}0.035 eV is within the reach of a space mission based on bolometers with a passively cooled 3-4 m aperture telescope, representative of the most ambitious projects currently under investigation. We show that our results are robust not only considering possible difficulties in subtracting astrophysical foregrounds from the primary CMB signal but also when the minimal cosmological model ({lambda} Mixed Dark Matter) is generalized in order to include a possible scalar tilt running, a constant equation-of-state parameter for the dark energy and/or extra relativistic degrees of freedom.

Authors:
; ; ;  [1];  [2]
  1. Laboratoire de Physique Theorique LAPTH, CNRS-Universite de Savoie, B.P. 110, F-74941 Annecy-le-Vieux Cedex (France) and Instituto de Fisica Corpuscular, CSIC-Universitat de Valencia, Ed. Institutos de Investigacion, Apdo. 22085, E-46071 Valencia (Spain)
  2. (APC), College de France, 11 place Marcelin Berthelot, F-75231 Paris Cedex 05 (France)
Publication Date:
OSTI Identifier:
20776793
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.045021; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APERTURES; BOLOMETERS; COSMIC RADIATION; COSMOLOGICAL MODELS; COSMOLOGY; DEGREES OF FREEDOM; ENERGY SPECTRA; EQUATIONS OF STATE; EV RANGE; GALAXY CLUSTERS; NEUTRINO OSCILLATION; NEUTRINOS; NONLUMINOUS MATTER; RADIOWAVE RADIATION; RELATIVISTIC RANGE; RELICT RADIATION; REST MASS; SCALARS; SENSITIVITY

Citation Formats

Lesgourgues, Julien, Perotto, Laurence, Pastor, Sergio, Piat, Michel, and Astroparticule et Cosmologie. Probing neutrino masses with CMB lensing extraction. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.045021.
Lesgourgues, Julien, Perotto, Laurence, Pastor, Sergio, Piat, Michel, & Astroparticule et Cosmologie. Probing neutrino masses with CMB lensing extraction. United States. doi:10.1103/PhysRevD.73.045021.
Lesgourgues, Julien, Perotto, Laurence, Pastor, Sergio, Piat, Michel, and Astroparticule et Cosmologie. Wed . "Probing neutrino masses with CMB lensing extraction". United States. doi:10.1103/PhysRevD.73.045021.
@article{osti_20776793,
title = {Probing neutrino masses with CMB lensing extraction},
author = {Lesgourgues, Julien and Perotto, Laurence and Pastor, Sergio and Piat, Michel and Astroparticule et Cosmologie},
abstractNote = {We evaluate the ability of future cosmic microwave background (CMB) experiments to measure the power spectrum of large scale structure using quadratic estimators of the weak lensing deflection field. We calculate the sensitivity of upcoming CMB experiments such as BICEP, QUaD, BRAIN, ClOVER and Planck to the nonzero total neutrino mass M{sub {nu}} indicated by current neutrino oscillation data. We find that these experiments greatly benefit from lensing extraction techniques, improving their one-sigma sensitivity to M{sub {nu}} by a factor of order four. The combination of data from Planck and the SAMPAN mini-satellite project would lead to {sigma}(M{sub {nu}}){approx}0.1 eV, while a value as small as {sigma}(M{sub {nu}}){approx}0.035 eV is within the reach of a space mission based on bolometers with a passively cooled 3-4 m aperture telescope, representative of the most ambitious projects currently under investigation. We show that our results are robust not only considering possible difficulties in subtracting astrophysical foregrounds from the primary CMB signal but also when the minimal cosmological model ({lambda} Mixed Dark Matter) is generalized in order to include a possible scalar tilt running, a constant equation-of-state parameter for the dark energy and/or extra relativistic degrees of freedom.},
doi = {10.1103/PhysRevD.73.045021},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}
  • We discuss the synergy of the cosmic shear and CMB lensing experiments to simultaneously constrain the neutrino mass and dark energy properties. Taking fully account of the CMB lensing, cosmic shear, CMB anisotropies, and their cross correlation signals, we clarify a role of each signal, and investigate the extent to which the upcoming observations by a high-angular resolution experiment of CMB and deep galaxy imaging survey can tightly constrain the neutrino mass and dark energy equation-of-state parameters. Including the primary CMB information as a prior cosmological information, the Fisher analysis reveals that the time varying equation-of-state parameters, given by w(a)more » = w{sub 0}+w{sub a}(1−a), can be tightly constrained with the accuracies of 5% for w{sub 0} and 15% for w{sub a}, which are comparable to or even better than those of the stage-III type surveys neglecting the effect of massive neutrinos. In other words, including the neutrino mass in the parameter estimation would not drastically alter the figure-of-Merit estimates of dark energy parameters from the weak lensing measurements. For the neutrino mass, a clear signal for total neutrino mass with ∼ 0.1 eV can be detected with ∼ 2-σ significance. The robustness and sensitivity of these results are checked in detail by allowing the setup of cosmic shear experiment to vary as a function of observation time or exposure time, showing that the improvement of the constraints very weakly depends on the survey parameters, and the results mentioned above are nearly optimal for the dark energy parameters and the neutrino mass.« less
  • Gravitational lensing can be used to directly constrain the projected density profile of galaxy clusters. We discuss possible future constraints using lensing of the cosmic microwave background (CMB) temperature and polarization, and compare to results from using galaxy weak lensing. We model the moving lens and kinetic Sunyaev-Zel'dovich signals that confuse the temperature CMB lensing when cluster velocities and angular momenta are unknown, and show how they degrade parameter constraints. The CMB polarization cluster lensing signal is {approx}1 {mu}K for massive clusters and challenging to detect; however it should be significantly cleaner than the temperature signal and may provide themore » most robust constraints at low noise levels. Galaxy lensing is likely to be much better for constraining cluster masses at low redshift, but for clusters at redshift z > or approx. 1 future CMB lensing observations may be able to do better.« less
  • We develop a Maximum Likelihood estimator (MLE) to measure the masses of galaxy clusters through the impact of gravitational lensing on the temperature and polarization anisotropies of the cosmic microwave background (CMB). We show that, at low noise levels in temperature, this optimal estimator outperforms the standard quadratic estimator by a factor of two. For polarization, we show that the Stokes Q/U maps can be used instead of the traditional E- and B-mode maps without losing information. We test and quantify the bias in the recovered lensing mass for a comprehensive list of potential systematic errors. Using realistic simulations, wemore » examine the cluster mass uncertainties from CMB-cluster lensing as a function of an experiment’s beam size and noise level. We predict the cluster mass uncertainties will be 3 - 6% for SPT-3G, AdvACT, and Simons Array experiments with 10,000 clusters and less than 1% for the CMB-S4 experiment with a sample containing 100,000 clusters. The mass constraints from CMB polarization are very sensitive to the experimental beam size and map noise level: for a factor of three reduction in either the beam size or noise level, the lensing signal-to-noise improves by roughly a factor of two.« less
  • We develop a Maximum Likelihood estimator (MLE) to measure the masses of galaxy clusters through the impact of gravitational lensing on the temperature and polarization anisotropies of the cosmic microwave background (CMB). We show that, at low noise levels in temperature, this optimal estimator outperforms the standard quadratic estimator by a factor of two. For polarization, we show that the Stokes Q/U maps can be used instead of the traditional E- and B-mode maps without losing information. We test and quantify the bias in the recovered lensing mass for a comprehensive list of potential systematic errors. Using realistic simulations, wemore » examine the cluster mass uncertainties from CMB-cluster lensing as a function of an experiment's beam size and noise level. We predict the cluster mass uncertainties will be 3 - 6% for SPT-3G, AdvACT, and Simons Array experiments with 10,000 clusters and less than 1% for the CMB-S4 experiment with a sample containing 100,000 clusters. The mass constraints from CMB polarization are very sensitive to the experimental beam size and map noise level: for a factor of three reduction in either the beam size or noise level, the lensing signal-to-noise improves by roughly a factor of two.« less
  • The next generation of CMB experiments should get a better handle on cosmological parameters by mapping the weak lensing deflection field, which is separable from primary anisotropies thanks to the non-Gaussianity induced by lensing. However, the generation of perturbations in the Early Universe also produces a level of non-Gaussianity which is known to be small, but can contribute to the anisotropy trispectrum at the same level as lensing. In this work, we study whether the primordial non-Gaussianity can mask the lensing statistics. We concentrate only on the ''temperature quadratic estimator'' of lensing, which will be nearly optimal for the Planckmore » satellite, and work in the flat-sky approximation. We find that primordial non-Gaussianity contaminates the deflection field estimator by roughly (0.1f{sub NL})% at large angular scales, which represents at most a 10% contribution, not sufficient to threaten lensing extraction, but enough to be taken into account.« less