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z - KICP Workshops - University of Chicago

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1.5<br />

What can we probe?<br />

• Probe Ω =0.2, dark w=-1.0<br />

M energy through the history <strong>of</strong> the expansion rate:<br />

H 0 r(z)<br />

H 2 (z)<br />

2<br />

H0 = Ωm (1+ z)3 Ω =0.3, w=-1.0<br />

M<br />

+ ΩDE exp[ 3 ∫ (1+ w(z))dln(1+ z) ] Ω =0.2, w=-1.5<br />

M w=−1/3+<br />

( 1− Ωm − ΩDE ) 1+ z<br />

Ω =0.2, w=-0.5<br />

M<br />

1.0<br />

r(z) = ∫ dz'/H(z')<br />

0.1<br />

0.5 • and the growth <strong>of</strong> large-scale structure:<br />

0.0<br />

Require both to disentangle Dark Energy from Modified Gravity<br />

Distance vs.<br />

Redshift<br />

0.0<br />

€<br />

0.5 1.0<br />

redshift z<br />

1.5 2.0<br />

• Weak Lensing cosmic shear Distances+growth<br />

• Supernovae Distances<br />

• Baryon Acoustic Oscillations Distances and H(z)<br />

• Cluster counting Distances+growth<br />

• Redshift Distortions Growth<br />

δ(z)/δ(today)<br />

€<br />

1<br />

δρ<br />

( ) 2<br />

ρ (z; Ωm ,ΩDE ,w(z),...)<br />

Growth <strong>of</strong><br />

w=−1<br />

10.0<br />

Density<br />

Perturbations<br />

z<br />

1.0<br />

6<br />

0.1

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