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Constraining Cosmology with LSS surveys Nikhil Padmanabhan 1 1 Yale University 07-14-2009 / TeVPA ’09 N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 1 / 41
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Page 1: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Constraining Cosmology with LSS surveys

Nikhil Padmanabhan1

1Yale University

07-14-2009 / TeVPA ’09

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 1 / 41

Page 2: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Outline

1 A Flavor of LSSConstraints from the SDSS

2 Going beyond the standard picture : Two ExamplesDark EnergyNon-Gaussianities

3 Future SurveysSDSS-III and BOSSBigBOSS

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 2 / 41

Page 3: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS

Outline

1 A Flavor of LSSConstraints from the SDSS

2 Going beyond the standard picture : Two ExamplesDark EnergyNon-Gaussianities

3 Future SurveysSDSS-III and BOSSBigBOSS

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 3 / 41

Page 4: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS

Some Comments

Mapping the distribution of matterProbes the initial conditions of the Universe. . .. . . and its subsequent evolution2D maps - imaging surveys (eg. PanSTARRS, SkyMapper, DES,LSST)2D maps - gravitational lensing3D maps - redshift surveys (eg. 2dF, SDSS)

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 4 / 41

Page 5: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS

Mapping the Universe

Age of Surveys

Cover wide range of redshifts,wavelengths

SDSS, 2dF, 2MASS, DEEP2, . . .

Pan-STARRS,SDSS-III, WiggleZ,HETDEX, LSST, JDEM, BigBOSS,. . .

Very rich data sets

M. Tegmark

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 5 / 41

Page 6: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS

The Power Spectrum

M. Tegmark

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 6 / 41

Page 7: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS Constraints from the SDSS

SDSS

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 7 / 41

Page 8: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS Constraints from the SDSS

The DR7 Power Spectrum

Reid et al, 0907.1659N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 8 / 41

Page 9: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS Constraints from the SDSS

The Matter Density

Reid et al, 0907.1659

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 9 / 41

Page 10: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS Constraints from the SDSS

Neutrinos

Σmν < 0.63eVReid et al, 0907.1659

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 10 / 41

Page 11: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

A Flavor of LSS Constraints from the SDSS

Constraining Inflation

Tegmark et al, 2006

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 11 / 41

Page 12: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples

Outline

1 A Flavor of LSSConstraints from the SDSS

2 Going beyond the standard picture : Two ExamplesDark EnergyNon-Gaussianities

3 Future SurveysSDSS-III and BOSSBigBOSS

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 12 / 41

Page 13: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples Dark Energy

A Balanced Budget?An accelerating Universe

Discovery by using SNe asstandard candles

Now verified by multiple sources

75% of the energy budget

Only just starting to probe its nature

www.lsst.org

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 13 / 41

Page 14: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples Dark Energy

Two Dichotomies

G or T?I Change the matter content of the Universe, new fieldI Modify gravity

The Homogeneous UniverseI Standard rulers/candles.I Geometrical probesI Does not distinguish G vs TI SNe, BAO.

The Inhomegeneous UniverseI Growth of fluctuationsI Distinguish modified gravity from dark energyI Lensing, redshift space distortions

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 14 / 41

Page 15: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples Dark Energy

BAO - A Standard Ruler

Geometrical probeSound waves in the early Universeimprint a standard rulerLarge scales (∼ 100Mpc/h) minimizeastrophysical systematicsWell understood from analytic andnumerical perspectives

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 15 / 41

Page 16: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples Dark Energy

First Detections

Need to survey very large volumes. Ruler is100 Mpc/h, and is statistical, so needmultiple independent volumes.

First survey to reach necessary volume :the SDSS Luminous Red Galaxy Surveyand 2dF Galaxy Surveys

First detection by Eisenstein et al (SDSS)and Cole et al (2dF)

D(0.35) to ∼ 3%

Detection using SDSS photometric surveyz < 0.6 (NP et al, 2007)

Detection of both transverse and radialterms (Gaztanaga et al, 2008)

Final DR7 results - Percival et al, 2009

Eisenstein et al, 2005

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 16 / 41

Page 17: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples Dark Energy

Probing growth

Redshift space distortions

Velocity field sensitive to matter distribution.

Velocity field distorts the galaxy correlationfunction; makes it anisotropic – redshiftspace distortions.

Measuring z-space distortions allowmeasurement of growth of structure.

Independent probe of growth (i.e. not weaklensing); tests a different aspect of structureformation.

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 17 / 41

Page 18: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples Non-Gaussianities

Non-Gaussianities

Initial conditions assumed to beGaussian in standard pictureTests of models of inflationφ ∼ φ+ fNLφ

2

Expect deviations fNL ∼ 1Nongaussianities affect clustering ofbiased objects on large scalesNot degenerate with galaxy formation Dalal et al, 2008

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 18 / 41

Page 19: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Going beyond the standard picture : Two Examples Non-Gaussianities

Measurements

Slosar et al, 2008

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 19 / 41

Page 20: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys

Outline

1 A Flavor of LSSConstraints from the SDSS

2 Going beyond the standard picture : Two ExamplesDark EnergyNon-Gaussianities

3 Future SurveysSDSS-III and BOSSBigBOSS

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 20 / 41

Page 21: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

BOSS : A next generation BAO experiment

How to do a precisionz < 1 BAO expt.?

After SDSS, then what?

Percival et al, 2006

SDSS imaging detects redgalaxies to z ∼ 0.8(2SLAQ, AGES)

The SDSS spectrographstill is one of the best widefield MOS.

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 21 / 41

Page 22: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

BOSS in overview

Ω = 10,000 deg2

Fill in SDSS stripes in the south; 8500deg2 in North, 3000deg2 in South

Galaxies : z ∼ 0.1− 0.7

QSOs (Lyman-α forest) : z ∼ 2.3− 3.3

1% dA, 2% H at z ∼ 0.35, 0.6

1.5% dA, H at z ∼ 2.5

Leverage existing hardware/software where possible

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 22 / 41

Page 23: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

BOSS : A brief historyJuly 2006 Competitive proposal to use (upgraded) SDSS

telescope for next-generation BAO experimentNov 2006 BOSS proposal selected (from 7) for all

dark+grey time for 5 of 6 yearsNov 2006 First BOSS collaboration meeting (NYU)Feb 2007 DOE R&D proposal for upgrading SDSS

spectroscopic systemOct 2007 Approval from Sloan foundation

2007 Funding proposals in to NSF and DOE2008 Approval from NSF; R&D funding from DOE

July 15, 2008 SDSS-III beginsSept 2008 BOSS imaging begins

Fall 2009-2014 BOSS spectroscopic survey at APO

http://www.sdss3.org/

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 23 / 41

Page 24: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

BOSS : As part of SDSS-3SEGUE-2 : Kinematic and chemical structure from 350,000 starsin the outer Galaxy.APOGEE : High resolution IR spectroscopy of stars in the Galacticbulge, bar and disk.MARVELS : Radial velocity planet search around 11,000 starsBOSS : BAO with 1.5 million LRGs (z < 0.7) and 160,000 QSOs(2.3 < z < 3.3)

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 24 / 41

Page 25: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

What’s next for BOSS?

July 15, 2008: SDSS-II ended, SDSS-III began.Completed ∼ 3000 deg2 on imaging in the South in Fall 2008.

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 25 / 41

Page 26: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

Imaging

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 26 / 41

Page 27: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

Imaging

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 27 / 41

Page 28: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

Tiles

Mike Blanton, priv. comm.

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 28 / 41

Page 29: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

Dewars

Mike Carr, priv. comm.

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 29 / 41

Page 30: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

Grisms

Robert Barkhouser, priv. comm.

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 30 / 41

Page 31: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

What’s next for BOSS?

July 15, 2008: SDSS-II ended, SDSS-III began.Completed ∼ 3000 deg2 on imaging in the South in Fall 2008.Upgrade spectrographs Summer 09.Commissioning on Stripe 82, Fall 2009LRG/QSO spectroscopy Fall 2009 - 2014At which point, we should know....

I wp = −??.??± 0.03, wa =??.??± 0.28I h = 0.??± 0.008, ΩK = 0.??± 0.002

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 31 / 41

Page 32: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

What’s next for BOSS?

July 15, 2008: SDSS-II ended, SDSS-III began.Completed ∼ 3000 deg2 on imaging in the South in Fall 2008.Upgrade spectrographs Summer 09.Commissioning on Stripe 82, Fall 2009LRG/QSO spectroscopy Fall 2009 - 2014At which point, we should know....

I wp = −??.??± 0.03, wa =??.??± 0.28I h = 0.??± 0.008, ΩK = 0.??± 0.002

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 31 / 41

Page 33: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys SDSS-III and BOSS

More Cosmology

Precision measurements of H0 (1%), ΩK (0.2%)Constrains D(2)/D(1000) and D(0.5)/D(1000) to 0.6% and 1%within ΛCDM

Improved large scale structure constraints (250,000 modes withk < 0.2)Improved measurements from the Lyman-α forestImproved measurements of neutrino massesA S/N=200 measurement of ξgm from galaxy-galaxy lensing, directprobe of D(z)

Constrain fnl <∼ 10.....

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 32 / 41

Page 34: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Beyond BOSS - BigBOSS

BigBOSS: The Ground-Based Stage IV BAO Experiment

BBiiggBBOOSSSS TThhee GGrroouunndd--BBaasseedd SSttaaggee--IIVV BBAAOO EExxppeerriimmeenntt

SSuubbmmiitttteedd bbyy LLBBNNLL aanndd NNOOAAOO

New 4000 fiber spectrograph forMayall 4m at KPNO

14,000 sq.deg., 0 < z < 2

Possibility of continuation usingCTIO 4m

DE constraints competitive withJDEM

Complementary to planned imagingsurveys

arXiv:0904.0468

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 33 / 41

Page 35: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Distance measures

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 34 / 41

Page 36: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Comparing surveys - Modes

Linear modes = cosmological informationknl(z = 0) ∼ 0.1h/Mpc; scale with growthBOSS = 4× 105

BigBOSS LRGs = 2× 106

BigBOSS ELG = 1.5× 107

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 35 / 41

Page 37: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Comparing surveys - Modes

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 36 / 41

Page 38: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Comparing surveys - Growth

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 37 / 41

Page 39: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Cosmological constraints

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 38 / 41

Page 40: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Primordial non-gaussianities

Scale dependent bias on largescales!

Volume matters!

fNL = 1 interesting region

Dashed line is fNL = 5

Compare multiple samples(suppress sample variance)

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 39 / 41

Page 41: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Timescales

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 40 / 41

Page 42: Constraining Cosmology with LSS surveys · I SNe, BAO. The Inhomegeneous Universe I Growth of fluctuations I Distinguish modified gravity from dark energy I Lensing, redshift space

Future Surveys BigBOSS

Conclusions

Age of surveysNext generation of surveys will map a large fraction of the UniverseMultiple points of contact with particle physicsRe-examine “standard” cosmological observations within thecontext of particle physics extensionsRich data sets, stay tuned!

N. Padmanabhan (Yale) Cosmology with LSS 07-14-2009 41 / 41


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