squeezing the cmb - university of...
TRANSCRIPT
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Squeezing the CMB
Astro448 Final Presentation -Alan Zablocki
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Outline
u Introduce the CMB u What can we squeeze out of the data u Standard techniques – MCMC u We want cosmological parameters u Linear data transform u Results and comparison to MCMC
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The way forward
Usually we go from a sky map
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The way forward
Express anisotropy as power spectrum
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Cosmological Parameters
u Compare data to theory (Bayesian) u MCMC is the work horse standard u Set of marginalized estimates
{ }τ,,,,, 22ssbc
LCDM Anhh ΛΩΩ=Θ
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MCMC
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Instead… Let us apply a matrix to the data, the Cls. Carry this operation such that locally the Fisher Matrix is unchanged.
arXiv:astro-ph/9603021v2
2^
121
lml al
Cx+
==
x=µ
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Fisher Matrix
∑ ∑ ∂
∂
∂
∂= −
l YYXX j
YYl
iji
XXlCMB
ijCCovCF
,
1)(θθ
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Key components:Covariance
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Key components:Derivatives
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How well can we recover the Fisher Matrix?
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Let’s use these on some data
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We need some data: Mocks!
( )ibaglm +=21
)(21 idchlm +=)(
21 ibaglm +=
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How well can we recover a single parameter?
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Chalk Talk
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2D Results
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This is the End…for now!
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