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Secondary CMB Anisotropy - Wayne Hu's Tutorials

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• Power spectra<br />

becomes<br />

C ΘΘ<br />

l<br />

where<br />

Power Spectrum<br />

〈Θ ∗ (l)Θ(l ′ )〉 = (2π) 2 δ(l − l ′ ) C ΘΘ<br />

l<br />

〈φ ∗ (l)φ(l ′ )〉 = (2π) 2 δ(l − l ′ ) C φφ<br />

l ,<br />

= 1 − l 2 R ˜ C ΘΘ<br />

l<br />

+<br />

R = 1<br />

4π<br />

d 2 l1<br />

(2π) 2 ˜ C ΘΘ<br />

|l−l1|C φφ<br />

l1 [(l − l1) · l1] 2 ,<br />

dl<br />

l l4 C φφ<br />

l .<br />

,

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