WEAK LENSING EFFECT OF THE COSMIC MICROWAVE BACKGROUND … · WEAK LENSING EFFECT OF THE COSMIC...

WEAK LENSING EFFECT OF THE COSMIC MICROWAVE BACKGROUND

Gabriela Antunes MarquesArmando Bernui, Ivan S. Ferreira

Observatório Nacional

CosmoSur III- Córdoba, 6 de agosto de 2015

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SUMMARY

Introduction

Cosmic Microwave Background

Weak Gravitational Lensing

Methodology

Results

Conclusions

G. Marques Weak Gravitational Lensing of the CMB CosmoSur III

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INTRODUCTION

Thermal History

Source:: Baumann, Daniel. "TASI lectures on inflation." arXiv preprint arXiv:0907.5424 (2009)


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COSMIC MICROWAVE BACKGROUND

Source: NASA/WMAP Science Team


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RADIAÇÃO CÓSMICA DE FUNDO COSMIC MICROWAVE BACKGROUND


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RADIAÇÃO CÓSMICA DE FUNDO COSMIC MICROWAVE BACKGROUND


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RADIAÇÃO CÓSMICA DE FUNDO

B-Mode

E- Mode

Temperature


Methodology


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RADIAÇÃO CÓSMICA DE FUNDO

B-Mode

E- Mode

Temperature High-order correlations: -Power Spectrum contain all statistical information

Non-Gaussian: - Non-zero connected N-point functions



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SECONDARY ANISOTROPIES AND FOREGROUNDS

Source: http://pla.esac.esa.int/pla/


http://pla.esac.esa.int/pla/

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SECONDARY ANISOTROPIES

Source: Baumann, Daniel. "TASI lectures on inflation." arXiv preprint arXiv:0907.5424 (2009)


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Weak Gravitational Lensing

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WEAK GRAVITATIONAL LENSING

Source: http://pla.esac.esa.int/pla/


http://pla.esac.esa.int/pla/

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LENTES GRAVITACIONAIS FRACAS WEAK GRAVITATIONAL LENSING


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LENTES GRAVITACIONAIS FRACAS WEAK GRAVITATIONAL LENSING


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LENTES GRAVITACIONAIS FRACAS Potencial de LGF WEAK GRAVITATIONAL LENSING Lensing Potential


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LENTES GRAVITACIONAIS FRACAS Potencial de LGF

Source: Lewis, Antony, and Anthony Challinor. "Weak gravitational lensing of the CMB." Physics Reports 429.1 (2006).



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Weak Gravitational Lensing of the CMB

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Mpc

Arcmin deflections

Change the spatial distribution of temperature fluctuations

Modifies the power spectra on small-scales

B-mode polarization (confusion for tensors/strings)

Produces Non-Gaussianity


WEAK GRAVITATIONAL LENSING OF THE CMB

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LENTES GRAVITACIONAIS FRACAS NA RCF

Source: Hanson, D. et al . "Weak lensing of the CMB." General Relativity and Gravitation 42.9 (2010): 2197-2218.

Real Space:

CMB without lensing Difference (x5) WL Potential+

Weak Gravitational Lensing of the CMB


WEAK GRAVITATIONAL LENSING OF THE CMB

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Harmonic space:

WEAK GRAVITATIONAL LENSING OF THE CMB Temperature Power Spectrum


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LENTES GRAVITACIONAIS FRACAS NA RCF LENTES GRAVITACIONAIS FRACAS NA RCF Espectro de Potência da Temperatura WEAK GRAVITATIONAL LENSING OF THE CMB Temperature Power Spectrum

CMBCMB+WL


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LENTES GRAVITACIONAIS FRACAS NA RCF LENTES GRAVITACIONAIS FRACAS NA RCF Espectro de Potência da Temperatura

CMBCMB+WL

WEAK GRAVITATIONAL LENSING OF THE CMB Temperature Power Spectrum


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LENTES GRAVITACIONAIS FRACAS NA RCF LENTES GRAVITACIONAIS FRACAS NA RCF Espectro de Potência da Temperatura WEAK GRAVITATIONAL LENSING OF THE CMB Temperature Power Spectrum


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LENTES GRAVITACIONAIS FRACAS NA RCF LENTES GRAVITACIONAIS FRACAS NA RCF Espectro de Potência da Polarização

Source: Lewis, Antony, and Anthony Challinor. "Weak gravitational lensing of the CMB." Physics Reports 429.1 (2006).

E-Mode

Lensed E-Mode

Lensed B-Mode

WEAK GRAVITATIONAL LENSING OF THE CMB Polarization Power Spectrum


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LENTES GRAVITACIONAIS FRACAS LENTES GRAVITACIONAIS FRACAS NA RCF Não-Gaussianidades

Contributions of <T Ψ>

Three-point correlation Function

WEAK GRAVITATIONAL LENSING OF THE CMB Non-Gaussianities


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LENTES GRAVITACIONAIS FRACAS LENTES GRAVITACIONAIS FRACAS NA RCF Reconstrução do Potencial de LGF

Quadratic estimator

Can reconstruct CMB lensing potential using observed temperature and power spectrum.

T. Okamoto & W. Hu [ astro-ph/0301031 ]

Source: Wayne Hu (2001)

CMB with WL effect Reconstruction+Noise

WEAK GRAVITATIONAL LENSING OF THE CMB Reconstruction WL potential


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LENTES GRAVITACIONAIS FRACAS

First detection: WMAP+ACT and SPT (Das, B. Sherwin et al. 2011) , (A. Van Engelen, R. Keisler et al. 2012)

LENTES GRAVITACIONAIS FRACAS NA RCF Status Observacional WEAK GRAVITATIONAL LENSING OF THE CMB Observations:


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Reconstruction Lensing Potential Map:

Planck Satellite 2013




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Reconstruction Lensing Potential Map:


Planck Satellite 20158<l<2048



31Source: Ade, P. A. R., et al. "Planck 2015 results. XV. Gravitational lensing." arXiv preprint arXiv:1502.01591 (2015).


WEAK GRAVITATIONAL LENSING OF THE CMB Observations- Planck Satellite







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Planck 2015 Release:

Mask

Power Spectrum and

Noise Power Spectrum

Fiducial Power Spectrum



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Methodology

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METHODOLOGY Questions

Produce CMB lensed maps (Monte Carlo method)

Is possible find lensing signature by power spectrum?

The weak lensing effect changes the CMB power spectrum differently in the sky? (isotropy test)


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METODOLOGIA METHODOLOGY


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METODOLOGIA METHODOLOGY


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METODOLOGIA Produção dos Conjuntos de mapas

CMB Gaussian (without effect):

CAMB – Power Spectrum fiducial

Nside=2048, l(max)=2048

{CMB-G}

METHODOLOGY Data Simulation


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METODOLOGIA Produção dos Conjuntos de mapas

CMB-L (with weak lensing effect):

{CMB-G} Lensing Potential map- Calibrated

{CMB-L}

Methodology Maps Simulations



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METODOLOGIA Produção dos Conjuntos de mapas Methodology Maps Simulations



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METODOLOGIA Methodology



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METODOLOGIA Seleção das regiões

169 discs

15° radius

>80% pixels

Methodology Select Regions


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METODOLOGIA Methodology Power Spectrum


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METODOLOGIA Diferença dos espectros de potência Methodology Power Spectrum


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Results

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RESULTS Simulated Maps

Source: Delabrouille et al. (2013)

Source: Ade, P. A. R., et al.. (2015).


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RESULTADOS Mapas Produzidos – {RCF-G}, {RCF-L} RESULTS Simulated Maps

Lensed

Unlensed

Lensed- Unlensed


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RESULTADOS Mapas Produzidos – {RCF-G}, {RCF-L} RESULTS Simulated Maps

Lensed

Unlensed

Lensed- Unlensed


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RESULTS Simulated Maps- Power Spectrum


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RESULTADOS Variação do espectro de potência RESULTS Power Spectrum variation


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RESULTADOS Variação do espectro de potência

2036 2076

RESULTS Power Spectrum variation


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RESULTADOS Variação do espectro de potência

Disc Latitude (b)

Longitude (l)

Maximum 2075.60 21 39.98 330.05

Minimum 2037.12 82 89.97 225.00

RESULTS Power Spectrum variation


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RESULTADOS Variação do espectro de potência- Máximo RESULTS Power Spectrum variation- Maximum


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RESULTADOS Variação do espectro de potência- Mínimo RESULTS Power Spectrum variation- Minimum


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RESULTADOS Variação do espectro de potência RESULTS


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CONCLUSÕES

We produced CMB lensed maps with power spectrum in concordance with the model (more contribution in small scales).

Our results show that there are regions of the celestial sphere with minor and major contribution of WL in power spectrum but the statistical significance is low: Disc 21 (maximum) and Disc 82 (minimum).

Is necessary use other estimators and test the statistical significance.

CONCLUSIONS


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Obrigada!Gracias!

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***Minkowski Functionals


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Threshold:


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***Minkowski FunctionalsResults


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***Minkowski Functionals ***Minkowski Functionals

Results


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***Minkowski Functionals ***Minkowski Functionals

Results


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LENTES GRAVITACIONAIS FRACAS RESULTADOS Funcionais de Minkowski- Regiões de Máximo

Máximo Latitude (b) Longitude(l) Calota

Área

Perímetro

Genus

***Minkowski FunctionalsResults


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LENTES GRAVITACIONAIS FRACAS RESULTADOS Funcionais de Minkowski- Regiões de Mínimo

Mínimo Latitude (b) Longitude(l) Calota

Área

Perímetro

Genus

***Minkowski Functionals Results


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