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Removing foregrounds from CMB maps using non-Gaussianity measurement
Dr. Rajib SahaAssistant ProfessorPhysics Department
IISER Bhopal
INDO-UK Scientific Seminar: Confronting particle cosmology with PLANCK and LHC IUCAA, August 11, 2011
A FOREGROUND CLEANED CMB MAP FROM NON-GAUSSIANITY MEASUREMENT Rajib Saha Accepted in ApJL, (arxiv:1105.6298)
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In the beginning rose Hirannyagarbha, born Only Lord of all created beings. He fixed and held up this earth and heaven What God shall we adore with our oblation?
--RIGVEDA (Translated by R.T.H. Griffith))
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A brief History ..
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Cosmic Microwave Background Signal
Hu & White (2004); artist:B. Christie/SciAm; available at http://background.uchicago.edu
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…. until we zoom in quite a bit ....
dipole anisotropy (ΔT/T ~ 1 part in 1000)
CMB looks same in all directions (T=2.728 K)….
Cosmic Microwave Background Signal
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Cosmic Microwave Background Signal
…. and more
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Standard Model of Cosmology says that –(Fourier transformation of) CMB contains
information about most of past evolution of Universe, as well as, its content, shape and size
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However, CMB gets contaminated by our own Galaxy
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Pure Signal
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Contaminated Signal
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ΔT(θ ,φ) = ΔTc (θ ,φ) + ΔTf (θ ,φ) + ΔTn (θ ,φ)
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Foreground Emission
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Synchrotron emission
Free Free emission
Thermal Dust emission
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The problem is-
how to remove contamination from observed CMB signal --
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Solution :
Use the fact -
Contaminations are highly non-Gaussian but ….. CMB follows Gaussian distribution
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A measure of non-Gaussianity Kurtosis
K is 0 for Gaussian distribution and hence for CMB but positive when contaminations are present
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WMAP SatelliteProposed in 1995 and launched into space in 2001 by NASA
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WMAP DATA23Ghz 33Ghz 41Ghz
61Ghz94 Ghz
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More contamination, more Kurtosis
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W1 + W2
+
+
+
W3W4
W5
Linearly combine 5 WMAP maps with certain weights w1, w2, w3, w4, w5
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Obtain weights by minimizing Kurtosis of the weighted map
W = (0.035368, -0.377965, -0.216677, 1.632449, -0.073175 )
Kmin = 1.17
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Results
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Results
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Results
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Results
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Results
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Results
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€
wii=1
nb
∑ =1
CMB remains preserved even if it was non-Gaussian!
Results
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Discussions
Direct relationship with the physics of the early universe!!
It preserves CMB even if it has non-Gaussian properties
-- Breakdown of degeneracy between various models of very rapid expansion of space when universe was 10-33 sec old. -- Information about structure formation in universe
-- More information from Planck, T, Q, U data
Independent on explicit foreground modeling
Does not have any negative bias unlike usual variance based methods.
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Thank you !