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CMB: Sound Waves in the Early Universe

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Constra<strong>in</strong>ts<br />

€<br />

Galaxy pair with separations Δz, Δθ :<br />

Δr c<br />

= cΔz /H(z) radial comov<strong>in</strong>g separation<br />

Δr c<br />

= Δθ(1+ z)d A<br />

angular comov<strong>in</strong>g separation<br />

Spherically averaged correlation<br />

function probes<br />

⎡<br />

D V<br />

(z) = ⎢ (1+ z) 2 d 2 A<br />

(z)<br />

⎣<br />

cz ⎤<br />

⎥<br />

H(z) ⎦<br />

1/ 3<br />

SDSS : D V<br />

(z = 0.35) =1370 ± 64 Mpc<br />

R 0.35<br />

= D V<br />

(0.35) /d A<br />

(z LS<br />

) = 0.0979 ± 0.0036<br />

A = D V<br />

(0.35)<br />

Ω m<br />

H 0<br />

2<br />

0.35c = 0.469 ± 0.017 Eisenste<strong>in</strong> etal 2005<br />

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