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Cosmological studies with Weak Lensing Effects Zuhui Fan Dept. of Astronomy, Peking University. Outline: Introduction Cosmological applications Systematics Summary. Introduction Gravitational lensing effects arise from the light deflection by the intervening structures.
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Cosmological studies with Weak Lensing Effects Zuhui Fan Dept. of Astronomy, Peking University
Outline: • Introduction • Cosmological applications • Systematics • Summary
Introduction Gravitational lensing effects arise from the light deflection by the intervening structures
Weak Lensing Effects Weak distortions caused by the large-scale structures of the universe: common but weak • “see” the dark matter directly powerful probes of the distribution of dark matter • sensitive to the formation of large-scale structures and the global geometry of the universe highly promising in dark energy studies
Observationally challenging accurate shape measurements: lensing induced shape distortions are much weaker than the intrinsic ellipticities of galaxies statistical measurements of the coherent distortions PSF corrections accurate calibration of the redshift distribution of source galaxies
Observational advances Statistical methods theoretical studies Fast developing forefront of research
density inhomogeneity • Cosmological Applications background source galaxy distribution
Weak lensing clusters: avoid complicated gas physics Tang & Fan (2005, ApJ) CFHTLS Deep
Cosmic shear : constraining cosmological parameters Fu et al. 2008 A&A (CFHTLS)
Li, H. et al. (2009,PhLB) (RCS, VIRMOS,GaBoDS,CFHT(22)) total ~100deg*deg, varying depth
Weak lensing observations start to provide useful and complementary constraints on Ωm, σ8 , and mν. Current data are largely limited by statistical errors due to relatively small survey areas and relatively shallow depth. Future weak lensing observations: go wide and deep LSST, Euclid, SNAP, (DOME A)......
Future surveysSun, L., Zhao, G.B. et al. Hoekstra & Jain 2008 5000deg2 zm=0.9 3 zbins
Systematics * redshift distribution of source galaxies magnitude distribution redshift distribution photo-z measurement * intrinsic alignments of source galaxies shear-ellipticity correlation * Nonlinear power spectrum * observational systematics * ……
Catastrophic Errors in photo-z(ApJ, 2009) Weak lensing effects are sensitive to the redshift distribution of source galaxies It is impractical to measure the redshift of vast number of galaxies with z>1 spectroscopically The technique developed to estimate the redshift of galaxies photometrically is tremendously important : multi-filter broad band measurements
(Adelberger et al, 2004) 9 filters 390-1700nm
Effects on parameter determination Ma et al. 2006 degradation
Effects on parameter determination We concentrate on the catastrophic island, and emphasize the bias Major island: (0.35,3.5) Overall fraction ~1% Biasing the parameter determination
Bias on dark energy parameter estimates 5 redshift bins
Without knowledge on the catastrophic errors both chi-square fitting and Fisher matrix linear analysis fitted fiducial large bias is induced >> 3σ
Spectral calibrations are needed to gain knowledge on catastrophic errors [Nspec:zp=(3,4)]
Calibration requirement fsky=0.25 (10000deg2 ) Nspec > 8600 (zp 3-4)
remove problematic galaxies zp<0.5 and zp>3 degradation factor ~1.4
Summary * catastrophic redshift errors can lead to large biases on parameter determinations * spectral calibration are required * remove galaxies in problematic bins ---> degradation factor ~ 1.4 * other calibration methods fsky=0.25 (10000deg2 ) Nspec > 8600 (zp 3-4)
Weak lensing effects hold great potential in cosmological studies Much more investigations are needed