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Dispersion of the luminosity distance as a cosmological probe

Dispersion of the luminosity distance as a cosmological probe

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200<br />

100<br />

50<br />

Power spectrum <br />

! HaloFit cannot be trusted for large running or <br />

running <strong>of</strong> running. <br />

! Treat F(k,z)=P NL /P L <strong>as</strong> a transfer function, at z=1. <br />

! 2 methods: 1) step function 2) interpolated function. <br />

Both extremely underestimating. <br />

! kUV=320h. kUV=30h degrades results but still cuts out <br />

parameter space allowed by PLANCK. <br />

P prim. (k) =A s<br />

✓ k<br />

k 0<br />

◆ ns (k 0 ) 1+1/2↵(k 0 )ln(k/k 0 )+1/6 (k 0 )(ln(k/k 0 )) 2<br />

20<br />

10<br />

5<br />

2<br />

1<br />

0.01 0.1 1 10 100<br />

T 2 (P )=<br />

T 2 (P )=<br />

Z kUV<br />

H 0<br />

dkk 2 P L (1 + bH(k k NL ))<br />

Z kUV<br />

H 0<br />

dkk 2 P L (k)(1 b + bH(k k NL )F (k, z))

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