Large scale structure analysis with the 6dF Galaxy Survey LBNL, Berkeley, January 2012
Florian Beutler
PhD supervisors: Chris Blake, Heath Jones Lister Staveley-Smith, Peter Quinn + Matthew Colless
26.01.2012
International Centre for Radio Astronomy Research Outline of the talk
Big picture: What is the nature of dark energy?
1 Testing the expansion history of the Universe (dark energy EoS): Baryon Acoustic Oscillations (BAO) 2 Testing General Relativity: Redshift space distortions What is 6dFGS?
Spectroscopic survey of southern sky (17,000 deg 2).
Primary sample from 2MASS with Ktot < 12.75; also secondary samples with H < 13.0, J < 13.75, r < 15.6, b < 16.75. Median redshift z ≈ 0.05 (≈ 220 Mpc). Effective volume ≈ 8x107h−3 Mpc3 (about as big as 2dFGRS). 125.000 redshifts (137.000 spectra). What is a correlation function?
The correlation function is defined via the excess probability of finding a galaxy pair at separation s:
2 dP = n [1 + ξ(s)] dV1dV2
A correlation function measures the degree of clustering on different scales. We have to count the galaxies at different separations s and calculate the correlation function via DD(s) ξ(s) = − 1 RR(s) (In my analysis I used the Landy & Salay estimator) In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). CDM continues to collapse. At the time of decoupling the wave stalls. We end up with spherical shell around an over-density.
Preferred galaxy formation in over-densities. The radius of the sphere is a preferred distance scale -> standard ruler. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005).
Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. CDM continues to collapse. At the time of decoupling the wave stalls. We end up with spherical shell around an over-density.
Preferred galaxy formation in over-densities. The radius of the sphere is a preferred distance scale -> standard ruler. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005).
Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). At the time of decoupling the wave stalls. We end up with spherical shell around an over-density.
Preferred galaxy formation in over-densities. The radius of the sphere is a preferred distance scale -> standard ruler. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005).
Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). CDM continues to collapse. We end up with spherical shell around an over-density.
Preferred galaxy formation in over-densities. The radius of the sphere is a preferred distance scale -> standard ruler. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005).
Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). CDM continues to collapse. At the time of decoupling the wave stalls. Preferred galaxy formation in over-densities. The radius of the sphere is a preferred distance scale -> standard ruler. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005).
Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). CDM continues to collapse. At the time of decoupling the wave stalls. We end up with spherical shell around an over-density. The radius of the sphere is a preferred distance scale -> standard ruler. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005).
Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). CDM continues to collapse. At the time of decoupling the wave stalls. We end up with spherical shell around an over-density.
Preferred galaxy formation in over-densities. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005).
Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). CDM continues to collapse. At the time of decoupling the wave stalls. We end up with spherical shell around an over-density.
Preferred galaxy formation in over-densities. The radius of the sphere is a preferred distance scale -> standard ruler. Baryon Acoustic Oscillations
Gravity causes collapse of matter to over-dense regions. In the early, radiation dominated Universe, radiation pressure leads to spherical sound waves (only baryons). CDM continues to collapse. At the time of decoupling the wave stalls. We end up with spherical shell around an over-density.
Preferred galaxy formation in over-densities. The radius of the sphere is a preferred distance scale -> standard ruler. First detections in 2dFGRS and SDSS, Cole et al. (2005), Eisenstein et al. (2005). Motivation
1 The sound horizon scale is set by the physical matter- and baryon 2 2 density, Ωmh and Ωbh . 2 We can get these two values from the CMB → the BAO scale in the galaxy survey turns into a standard ruler. 3 A standard ruler enables a distance measurement. The ultimate cosmology tool! 4 This enables us to measure the Friedmann eq., H(z)
1/2 h −3 −3(1+w)i H(z) = H0 Ωma + ΩΛa .
5 At low redshift, a ≈ 1, a distance measurement constrains only H0 (similar to the distance ladder technique). Results
0.05 6dFGS data 0.04 best fit 2 Ωmh = 0.12 2 0.03 Ωmh = 0.15 no•baryon fit 0.02 (s) ξ 0.01
0
•0.01
•0.02 20 40 60 80 100 120 140 160 180 200 s [h•1 Mpc] Results
∂ξ(s) ξ (s) = B(s)b2 ξ(s) ∗ G(r) + ξ1(r) Crocce & Scoccimarro (2008), model 1 ∂s Sanchez et al. (2008), Z ∞ 1 1 ξ1(r) = 2 dk kPlin(k)j1(rk) 2π 0 Z ∞ 1 2 ξ(r) = 2 dk k Plin(k)j0(rk) 2π 0 2 G˜ (k) = exp −(k/k∗) Eisenstein et al. (2007), Eisenstein, Seo & White (2007)
0.05 6dFGS data 0.04 best fit 2 Ωmh = 0.12 2 0.03 Ωmh = 0.15 no•baryon fit 0.02 (s) ξ 0.01
0
•0.01
•0.02 20 40 60 80 100 120 140 160 180 200 s [h•1 Mpc] Results
0.05 6dFGS data 0.04 best fit 2 Ωmh = 0.12 2 0.03 Ωmh = 0.15 no•baryon fit 0.02 (s) ξ 0.01
0
•0.01
•0.02 20 40 60 80 100 120 140 160 180 200 s [h•1 Mpc] Results
0.05 6dFGS data 0.04 best fit 2 Ωmh = 0.12 2 0.03 Ωmh = 0.15 no•baryon fit 0.02 (s) ξ 0.01
0 χ2 = 1.12 DV = 456 ± 27 Mpc 2 •0.01 Ωmh = 0.138 ± 0.02 b = 1.81 ± 0.13 •0.02 20 40 60 80 100 120 140 160 180 200 s [h•1 Mpc] Cosmological implications
70 ] •1 Mpc •1
60 [km s 0 H
6dFGS Ω 2 50 mh prior Ω 2 6dFGS + mh prior 0.15 0.2 0.25 0.3 0.35 0.4 Ωm
6dFGS: H0 = 67 ± 3.2 km/s/Mpc
SH0ES project: H0 = 73.8 ± 2.4 km/s/Mpc (Riess et al. 2011)
WMAP7: H0 = 70.3 ± 2.5 km/s/Mpc (Komatsu et al. 2010) Cosmological implications
70 ] •1 Mpc •1
60 [km s 0 H
6dFGS Ω 2 50 mh prior Ω 2 6dFGS + mh prior 0.15 0.2 0.25 0.3 0.35 0.4 Ωm
6dFGS: H0 = 67 ± 3.2 km/s/Mpc
SH0ES project: H0 = 73.8 ± 2.4 km/s/Mpc (Riess et al. 2011)
WMAP7: H0 = 70.3 ± 2.5 km/s/Mpc (Komatsu et al. 2010) Cosmological implications
80
75 ] •1 Mpc •1 70 [km s 0
H 65 BAO WMAP•7 60 BAO+WMAP•7 without 6dFGS 55 •1.5 •1 •0.5 w In a wCDM universe we find w = −0.97 ± 0.13. Cosmological implications
80
75 ] •1 Mpc •1 70 [km s 0
H 65 BAO WMAP•7 60 BAO+WMAP•7 without 6dFGS 55 •1.5 •1 •0.5 w In a wCDM universe we find w = −0.97 ± 0.13. Cosmological implications
6dFGS: H0 = 67 ± 3.2 km/s/Mpc
HST, Riess et al. (2011): 70
H0 = 73.8 ± 2.4 km/s/Mpc ] •1 Mpc •1
60 [km s 0 6dFGS H Ω h2 prior (N = 3) m eff Ω 2 6dFGS + mh prior 50
0.05 0.1 0.15 0.2 Ω 2 mh
2 Ωmh 3139 Neff = 3.04 + 7.44 − 1 0.1308 1 + zeq Cosmological implications
6dFGS: H0 = 67 ± 3.2 km/s/Mpc
HST, Riess et al. (2011): 70
H0 = 73.8 ± 2.4 km/s/Mpc ] •1 Mpc •1
60 [km s 0 6dFGS H Ω h2 prior (N = 3) m eff Ω 2 6dFGS + mh prior Ω h2 prior (N = 4) 50 m eff Ω 2 6dFGS + mh prior 0.05 0.1 0.15 0.2 Ω 2 mh
2 Ωmh 3139 Neff = 3.04 + 7.44 − 1 0.1308 1 + zeq Cosmological implications
hsdjfkisiahfdk6dFGS
Blake et al. (2011) (Ωk = −0.004 ± 0.0062)
Cosmological implications
Blake et al. (2011) Cosmological implications
Blake et al. (2011) (Ωk = −0.004 ± 0.0062) (w0 = −1.094 ± 0.171, wa = 0.194 ± 0.687)
Cosmological implications w(a) = w0 + (1 − a)wa
Blake et al. (2011) Cosmological implications w(a) = w0 + (1 − a)wa
Blake et al. (2011) (w0 = −1.094 ± 0.171, wa = 0.194 ± 0.687) Redshift space distortion analysis 6dFGS 2D correlation function
40
30 10 20
10 Mpc] •1 0 1 [h π •10
•20
•1 •30 10
•40 •40 •30 •20 •10 0 10 20 30 40 •1 rp [h Mpc] → We can measure the total mass in the Universe Ωm. 2. With a known Ωm, General Relativity predicts how much distortion we have to expect. → We can test General Relativity and alternative theories (e.g. DGP).
γ f (z) = βb = Ωm(z) ⇒ Ωm = 0.33 ± 0.054
f = growth rate, b = linear bias, Ω = ρm m ρ0 Theoretical predictions: γΛCDM = 0.55, γDGP = 0.69 → At low redshift we have no uncertainties because of the Alcock-Paczynski effect.
What are redshift space distortions
1. All redshift space distortions originate from gravitational interaction. With more mass in the Universe we expect more distortions. 2. With a known Ωm, General Relativity predicts how much distortion we have to expect. → We can test General Relativity and alternative theories (e.g. DGP).
γ f (z) = βb = Ωm(z) ⇒ Ωm = 0.33 ± 0.054
f = growth rate, b = linear bias, Ω = ρm m ρ0 Theoretical predictions: γΛCDM = 0.55, γDGP = 0.69 → At low redshift we have no uncertainties because of the Alcock-Paczynski effect.
What are redshift space distortions
1. All redshift space distortions originate from gravitational interaction. With more mass in the Universe we expect more distortions. → We can measure the total mass in the Universe Ωm. → We can test General Relativity and alternative theories (e.g. DGP).
γ f (z) = βb = Ωm(z) ⇒ Ωm = 0.33 ± 0.054
f = growth rate, b = linear bias, Ω = ρm m ρ0 Theoretical predictions: γΛCDM = 0.55, γDGP = 0.69 → At low redshift we have no uncertainties because of the Alcock-Paczynski effect.
What are redshift space distortions
1. All redshift space distortions originate from gravitational interaction. With more mass in the Universe we expect more distortions. → We can measure the total mass in the Universe Ωm. 2. With a known Ωm, General Relativity predicts how much distortion we have to expect. γ f (z) = βb = Ωm(z) ⇒ Ωm = 0.33 ± 0.054
f = growth rate, b = linear bias, Ω = ρm m ρ0 Theoretical predictions: γΛCDM = 0.55, γDGP = 0.69 → At low redshift we have no uncertainties because of the Alcock-Paczynski effect.
What are redshift space distortions
1. All redshift space distortions originate from gravitational interaction. With more mass in the Universe we expect more distortions. → We can measure the total mass in the Universe Ωm. 2. With a known Ωm, General Relativity predicts how much distortion we have to expect. → We can test General Relativity and alternative theories (e.g. DGP). What are redshift space distortions
1. All redshift space distortions originate from gravitational interaction. With more mass in the Universe we expect more distortions. → We can measure the total mass in the Universe Ωm. 2. With a known Ωm, General Relativity predicts how much distortion we have to expect. → We can test General Relativity and alternative theories (e.g. DGP).
γ f (z) = βb = Ωm(z) ⇒ Ωm = 0.33 ± 0.054 f = growth rate, b = linear bias, Ω = ρm m ρ0 Theoretical predictions: γΛCDM = 0.55, γDGP = 0.69 → At low redshift we have no uncertainties because of the Alcock-Paczynski effect. Data modelling