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Dispersion of the luminosity distance as a cosmological probe

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d L -­‐z relation <br />

• Gauge inv. Light-­‐cone avg. procedure. 2 nd <br />

order pert. <strong>the</strong>ory, NO DIVERGENCES! <br />

• kUV=30h Mpc -­‐1 , WMAP data. <br />

sm<br />

0.14<br />

0.12<br />

0.10<br />

0.08<br />

0.06<br />

0.04<br />

PLANCK DATA <br />

• Flux is minimally bi<strong>as</strong>ed. <br />

• The dispersion is large ~ 2-­‐10% ΛCDM, <strong>of</strong> <strong>the</strong> <br />

critical density depending on <strong>the</strong> spectrum. <br />

Scatter is mostly from <strong>the</strong> LC average. It <br />

gives <strong>the</strong>oretical explanation to part <strong>of</strong> <strong>the</strong> <br />

scatter <strong>of</strong> SN me<strong>as</strong>urements. At z>0.3 <br />

dominated by lensing. <br />

IBD, M. G<strong>as</strong>perini, G. Marozzi, F. Nugier, G. <br />

Veneziano <br />

m-m M<br />

0.02<br />

0.00<br />

0.3<br />

0.2<br />

0.1<br />

0.0<br />

-0.1<br />

-0.2<br />

0.6 0.8 1.0 1.2 1.4 1.6<br />

PLANCK DATA <br />

z<br />

0.02 0.05 0.10 0.20 0.50 1.00 2.00<br />

z

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