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Baryonic signature in the large-scale clustering of SDSS quasars Kazuhiro Yahata Dept. of Phys., University of Tokyo. Issha Kayo, Yasushi Suto, Matsubara.

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Presentation on theme: "Baryonic signature in the large-scale clustering of SDSS quasars Kazuhiro Yahata Dept. of Phys., University of Tokyo. Issha Kayo, Yasushi Suto, Matsubara."— Presentation transcript:

1 Baryonic signature in the large-scale clustering of SDSS quasars Kazuhiro Yahata Dept. of Phys., University of Tokyo. Issha Kayo, Yasushi Suto, Matsubara Takahiko, Andy Connolly, Daniel Vanden Berk and others.

2 1 Comparison of survey volumes GalaxyQuasar We can investigate > 100Mpc/h structure.

3 EH ・ Eisenstein & Hu matter transfer function (1998) Theoretical matter 2PCF zero crossing baryon bump + -

4 B dependence Predicted Ω b -dependence Ω b ↑ ・ slope↓ ・ zero-crossing scale↑

5 Λ dependence Predicted Ω Λ -dependence Ω Λ ↑ ・ slope↓ ・ zero-crossing scale↑ We can derive constraints on Ω b and Ω Λ from these dependence.

6 Quasar sample selection ・ DR3 spectroscopic sample. ・ point source ・ Northern sky (80 ≦ α ≦ 300) ・ 15.0 ≦ m i, rc ≦ 19.1 ・ 0.16 ≦ z ≦ 2.24 Quasar sample selection

7 sample The quasar sample N QSO = 20303 2D distribution M i’rc N redshift

8 2PCF 2PCF of SDSS quasars (Ω m =0.3,Ω Λ =0.7,h=0.7) It seems that the baryon bump exists in quasar 2PCF. ・ binning We derive constraints on Ω b from SDSS QSO clustering.

9 Fitting Proc Fitting procedure ・ h = 0.7, (0.6, 0.8) ・ spatially flat: Ω b + Ω Λ + Ω d =1 ・ scale independent bias: b QSO (z) →fitting parameters: Ω b , Ω Λ ・ compute 2PCF (theory and observation) for grids of Ω b and Ω Λ. at linear regime, s ≧ 10Mpc/h ・ compute χ 2

10 z evolution Redshift evolution ・ Light-cone effect (Hamana, et al. 1998) ・ The Kaiser effect ・ evolution of scale independent bias All above effects are scale independent. Thus we can introduce effective quasar bias:

11 Chi2 h70 Result Δχ 2 Approximate fit: 2.6Ω b + Ω Λ = 0.9 Contours: 68%, 95%, 99.7%

12 Chi2 h60 Δχ 2 (h=0.60) 2.6Ω b + Ω Λ = 0.9 h-dependence is weak.

13 Chi2 h70 Δχ 2 (h=0.70) 2.6Ω b + Ω Λ = 0.9 h-dependence is weak.

14 Chi2 h8 0 Δχ 2 (h=0.80) 2.6Ω b + Ω Λ = 0.9 h-dependence is weak.

15 Degeneracy Due to the huge errors of large scale bins, the zero- crossing scale is not well constrained yet. Future data are important in improving the constraints. The 2PCFs preferred from the current analysis.

16 Summary We derived constraints on Ω b and Ω Λ from SDSS QSO 2PCF. The result is approximately fitted to 2.6Ω b + Ω Λ =0.9±0.1 Future quasar data will constrain the zero crossing scale well. We willbreak the degeneracy between Ω b and Ω Λ.

17 END End (Next: Dust Extinction)

18

19 非表示メモ

20 Systematic errors Possibilities of systematic error Redshift space distortion Finger of God The Kaiser effect (break of distant observer approximation) Error of redshift caused by mis-identification of emission lines. Fiber collision probably not important for large scale. Reddening correction The value of extinction is determined with assumption; 1) SED of elliptical galaxy (the effect is very small) 2) Old filter curve Sample selection I would like your comment or suggestion! Non-linearity New fitting formula is needed.

21 Future works ・ 2-dimensional 2PCF. ・ Include non-linearity ・ Halo occupation distribution To perform them, we need more dense sample →photometric quasar?

22 Chi2 h70 Δχ 2 (h=0.70)

23 Comp. SDSS Compute quasar 2PCF ●Landy-Szalay estimator ●Random Particle Distribution R.A. & DEC. ‥ random z ‥ observed z distribution N random ~ 600,000. Cumulative redshift distribution ●Jack-knife error

24 Region selection observed plate not observed used regionnot used RA and DEC. selection

25 Λ - OBS. Ω Λ dependence of observed 2PCF Ω Λ ↑ ・ slope ・ zero-crossing scale Separations between quasars also depend on cosmological parameters

26 h dependence h↑ ・ slope↑ zero-crossing scale is insensitive to h

27 z evolution eq Details of redshift evolution (1/3) ・ Light-cone effect (Hamana, et al. 1998) ・ The Kaiser effect observation theory

28 z evolution 2 Details of redshift evolution (2/3) ・ scale independent linear bias ・ Final expression?

29 z evolution 3 Details of redshift evolution (3/3) ・ Final expression? ・ …bias evolution model ex., Fry (1996) We need not to specify the bias evolution model for the fitting. It is future works. ↑scale independent ・ Final expression: ・ number of parameters is 3: Ω b , Ω Λ , b QSO,eff

30 2pcf 2PCF We compute 2PCF of the SDSS quasars.

31 2PCF 2PCF of SDSS quasars (Ω m =0.3,Ω Λ =0.7,h=0.7) Seems to indicate Ω b ≠0 ・ binning We derive constraints on Ω b from SDSS QSO clustering.


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