Digging in the Large Scale Structure of the Universe
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Digging in the Large Scale Structure of the Universe Shirley Ho Carnegie Mellon University +**Yen-Chi Chen, **Simeon Bird, Roman Garnett, Siamak Ravanbakhsh, Layne Price, *Francois Lanusse, Jeff Schneider, Chris Genovese, Rachel Mandelbaum, Barnabas Pocozs, Larry Wasserman + SDSS3-BOSS Collaboration Cosmo21, Crete, Greece 05/25/16 CMB experiment raw sensitivity over the years Snowmass CF5 Neutrinos Document arxiv:1309.5383 WMAP Planck Adv-ACT SPT-3G CMB-S4 Shirley Ho Number of spectra DESI Euclid BOSS eBOSS SDSSI/II WiggleZ 2MRS CFA Year experiment finishes Shirley Ho Shirley Ho Large Scale Structure • The contents and properties of our Universe affects the phase space distribution of the density field. (x, y, z, vx,vy,vz)=f(w0,wa, ⌦m(z),H(z), m⌫ ,G,...) p w = equation of state of darkX energy ⇢ w(a)=w + w (1 a) time-dependent equation of state 0 a − m⌫ is sum of neutrino masses X Eisenstein & Hu 1997; Eisenstein, Seo & White 2007; Kaiser 1987; Peacock 2001 Shirley Ho How sum of neutrino masses affect the density field 28 10− 29 10− ) 3 30 10− Density (g/cm 31 10− m⌫ =0eV m⌫ =1eVeV X X Figure Credit: Agarwal & Feldman Shirley Ho What do we do with all these interesting datasets? • Standard analyses: 2 point correlation functions / clustering / stacking • Going beyond standard analyses • Going beyond 3D information that these large scale structure surveys provide. Shirley Ho Standard Analyses: Sum of neutrino masses affect the clustering of density field 2 Clustering of Density Field in Redshift Space Monopole * r 2 The sum of matter density and neutrino density is kept constant. Quadrupole * r Giusarma, dePutter, Ho et al. 2013 Shirley Ho Standard Analyses: Dark Energy equation of state affects the clustering of density field 2 Clustering of Density Field in Redshift Space Monopole * r 2 Quadrupole * r Shirley Ho Standard analyses Correlation Function x s2 in 1D 2 Anderson et al. 2014 Vargas, Ho et al. 2014 • Lots of good science are being done with standard 2 point correlation function/ power- spectrum analyses! • Baryon Acoustic Oscillations BAO • Redshift Space Distortions Galaxy Correlations x s Correlations Galaxy Shirley Ho Standard analyses • Lots of good science are being done with standard 2 point correlation function/ power- spectrum analyses! • Baryon Acoustic Oscillations • Redshift Space Distortions Anderson et al. 2014 Vargas, Ho et al. 2014 Shirley Ho But large scale density field is not that gaussian… Shirley Ho What do we do with all these interesting datasets? • Standard analyses: 2 point correlation functions / clustering / stacking • Going beyond standard analyses • Going beyond 3D information that these large scale structure surveys provide. Shirley Ho Going beyond Gaussian field with ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ● ●●● ● ● ●●● ● ● ● ● ● ●●●● ● ● ● ● ● ● ● ●●●● ● ● ● ●● ● ● ●●● ● ● ●●● ● ● ● ● ● ● ●●●●●●●● ● ● ●● ● ● ●●● ● ● ● ●● ● ●●● ●● ● ● Subspace Constrained●●●● ● Mean Shift (SCMS)●● ● ● ● ●● ● ● ● ●●●●●●●● ● ●● ● ● ● ● ●● ● ●●●●●● ●●● ● ●● ● ● ● ● ● ● ● ● ● ● ●●●● ● ● ●●● ● ● ●●● ● ● ● ● ● ●●● ● ●● ●● ● ●● ● ● ● ●● ●● ● ● ●● ● ●●●●●●●●●●●●● ● ● ● ● ● ●●● ●● ● ● ●●● ●●●●●● ● ● ● ● ● ●● ● ● ● ● ●● ●●●●●● ● ● ● ● ● ●●● ● ● ● ●●●● ●● ● ● ● ●●● ● ● ● ● ●●●●●●●●●● ● ● ● ● ● ● ● ● ●● ● ●●●● ● ●● ● ● ● ● ●● ● ● ● ●●●● ● ●● ● ● ● ●● ● ●●● ● ● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ●●● ● ●●● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ●●● ● ● ● ●● ●● ●● ● ● ● ● ●●● ● ●● ● ● ●●● ● ● ● ●●●● ● ● ●● ● ● ●● ● ● ● ● ●● ● ● ● ●●● ● ●● ● ●● ● ● ● ● ● ●●● ●●● ● ● ● ●●● ● ● ●● ●●●●● ● ● ●●● ● ● ●●● ● ●●●● ● ● ● ●●● ● ●●●● ● ●●●●● ● ● ●● ● ● ●● ● ●●● ● ● ●●●●● 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● -See Yen-Chi Chen’s talk on ● ●●●●●●● ● ● ● ●●● ●●● ●● ● ● ● ● ● ● ●●●●●● ●● ● ●●● ● ● ● ● ●●●●●●●●●●● ●●● ● ●●● ● ● ● ● ● ● ● ● ● ●●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●●●● ● ● ●●●● ● ●● ● ●●● ● ● ● ●● ●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ● ● ● ●● ● ● ● ●● ● ● ●●● ● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ●● ●● ● ● ● ● ●● ● ●● ●● ● ● ● ●● ● ● ● ● ● ●● ●● ● ●● ● ● ● ● ●● ●●● ● ● ● ● ● ● ●●● ●●● ●●●● ●●● ● ● ● ●●● ● ● ●●● ● ●●●●●●●● ● ● ●●● ●●● ● ● ● ●●●●●●●●● ● ● ● ● ●● ● ●● ● ●●●●●● ● ●●● ● ●●● ● ● ●●●● ●●●● ●● ● ● ● ● ●●● ● ● ●● ●●●●● ● ● ● ● ● ● ● ●●● ●● ● ● ●●●●●● ● ● ●● ● ●●● ●●● ● ● ●●●●● ● ● ● ● ●● ●● ● ●●●●● ● ● ●● ● ● ●●● ● ● ●●●●●●● ●●● ● ● ● ●● ● ●● ● ●●●●● ● ● ● ● ● *Thursday* to understand the ● ●●●● ● ● ● ●● ●●●● ●● ●●●●●●●●●●●●●●● ● ● ● ● ●● ● ● ● ●●● ●● ●●● ●● ● ●●● ●●●● ● ● ● ●●● ● ● ● ● ● ● ●●●● ● ●●● ● ●● ● ● ● ●● ●●● ● ●●● ● 25 ● ● ●● ● ● ●●● ●● ●● ● ● ●●● ● ● ●●●● ● ● ●● ●●● ● ● ●● ● ● ● ● ● ●●●●●● ● ● ●● ● ● ● ●●● ● ● ● 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●●●●●●●●●●●●●●●●●●●●●●●●●●● ● ● ● ● ● ● ● ● ● ● ●●●●●● ● ●●●●●●●●● ● ● ● ● ●●●●●● ● ● ●●● ● ● ● ● ●●●●● ● ●● ● ●● ●●●● ● -Basic idea is to find ridges● ● in ●● ● ● ●●●● ● ● ● ● ●● ● ●● ● ●● ●● ● ●●●● ● ● ● ●●●● ● ●●●● ● ● ● ● ● ● ●●●● ● ● ●● ● ● ●●●● ● ● ● ●●●● ● ● ●● ● ●●● ● ● ● ● ●●●● ● ● ● ● ●●●●●●● ●●● ● ● ● ●● ●●●● ● ● ● ● ●●●● ● ●●● ● ● ●●● ● ● ● ●● ●● ● ● ● ● ●●●● ● ● ●●● ● ● ● ● ● ● ● ●● ●●●● ● ● ●● ● ● ●● ●● ●● ● ●●● ● ● ● ● ●● ● ●● ● ● ● ●●● ●● ● ● ●●● ● ●● ●●● ●● ● ● ●●●●● ● ●●●● ●● ● ● ● ●● ● ● ● ●● ● ● ●●● ● ● ● ● ● ● ● ● ● ●● ●●● ● ● ● ● ● ●● ● ● ●●●●●● ● ● ● ● ● ● ● ● ● ● ●●●●● ● ●●● ● ● ● ● ●● ● ● ● ● ●●● ● ●●●● ● ● ●● ●● ● ●● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ●●● the density field by looking● ●● at●● ● ● ● ● ● ●● ●●● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ●● ●●● ● ●●● ● ●● ● ● ●●●● ● ● ●●●● ● ● ● ●●● ● ●●●● ●●●●● ● ● ● ● ●● ● ● ●●●●●●●●●●●●●●● ●●●● ● ●●● ● ● ● ● ●● ●● ●●● ● ● ● ● ● ● ● ●● ●● ● ● ● ●● ●● ● ●● ● ● ● ● ● ● ● ● ●●●●● ●● ●● ● ● ● ● ● ●● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● 15 ● ● ● ● ● ●● ●● ● ● ● ● ● ●●● ● ●●● ● ●● ● ●● ● ● ● ● ● ● ● ● dec ● ● ● ● ●● ●●●●● ●● ● ●● ● ● ●●● ● ● ● ● ● ● ● ●● ●● ● ● ●●● ● ●● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ● ●● ● the Hessian matrix at each ● ● ● ● ● ● ● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ●● ● ● ● ● ● ● ●● ●● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●●●●● ● ● ● ●●● ● ● ● ●●● ●●● ● ● ● ●●●● ● ● ● ● ● ● ● ● ● ●● ●●● ● ● ● ● ●● ● ● ●● ● ● ● ● ● ● ● ● ● ● ●●●● ●●● ● ● ● ● ● ● ● ●●● ●●● ● ● ●●● ● ● ● ● ● ● ●● ● ●●● ● ● ● ● ●●● ●● ● ●● ● ● ● ●●● ● ● ● ● ● ●● ● ● ● ● ● ●● ● ● ● ● ●● ● ●● ● ● ● ● ● ● ● ● ● ● ●●● ● ● ● ●● ●● ● ● ●● ● ● ●●● ● ● ● ● ● ● ● ● ● ● ● ● ●● ●● ● ●● ●● ● ●● ● ● ● ●● ● ●●●●● ● ● ●● ●●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ●●●● ● ●● ● ● ● ● ● ● ●●●●● ● ● ● ●● ● ●● ●●● ● ● ● ● ● ●● ● ●● point. ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ●● ●●● ●● ● ● ● ● ●● ● ● ●● ● ●● ●● ● ● ● ● ● ● ● ● ● ●●●●● ●● ● ● ● ● ● ● ● ● ● ● ●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ● ●●●●●● ● ● ●● ● ● ● ● ● ●●●●●●●●●●●●●● ●●●● ● ● ● ● ● ● ●●●●●●●●●●●● ●●●●● ●●●●●●● ● ● ● ●● ●● ● ● ● ● ● ● ●●●●●●● ●●●● ●●●● ●●●● ● ● ● ● ●● ●●●●●●● ● ●●●●●● ●●●● ● ●●● ● ●● ●● ● ● ●●●●●●●●●●●●●●●●●●● ●●● ●●● ● ● ● ● ● ● ●● ● ●●● ●● ● ●● ●●● ● ●●● ●● ● ● ● ● ● ● ● ● ● ●●● ● ●●● ● ●● ●● ● ● ●● ● ●●● ● ● ● ● ● ●● ●● ●●● ●● ● ● ● ● ● ●●● ● ● ● ●●● ● ●●● ● ● ● ● ●●● ● ● ● ● ●●●●● ●● ● ● ● 10 ● ● ● ● ● ● ● ●●● ● ●● ●●● ● ●●● ●●● ● ● ●●● ● ● ● ●● ● ●●●●● ● ● ● ●●● ●● ● ● ●●●●● ● ●●● ● ●●● ● ● ●● ● ●●●●●●● ● ● ● ● ● ●●● ● ● ● ● ● ●●●●●●●●● ● ● ● ●●● ●● ● ●● ● ●●●●●●●●● ● ● ●●● ●● ● ● ● ● ● ●●●●●●●●●● ●● ● ● ● ● ●● ● ● ● ●● ●● ●● ● ● ● ●●●●●●●● ● ● ● ● ● ● ● ● ●● ● ●● ●● ● ●●●●● ● ●●●●●●● ● ●● ● ● ● ● ●●● ●● ● ● ●● ●●●● ● ●●● ●●●●●● ● ●●● ● ● ● ● ●● ● ●● ● ● ●● ● ●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●● ●●●●● ● ● ● ●●● ●●● ●● ● ●● ● ●●●●●●●●●●●●●●●●●●●●●●●● ● ●● ● ● ● ● ● ● ●● ● ● ● ● ● ●