WEAK LENSING EFFECT OF THE COSMIC MICROWAVE BACKGROUND

Transcription

1 WEAK LENSING EFFECT OF THE COSMIC MICROWAVE BACKGROUND Gabriela Antunes Marques Armando Bernui, Ivan S. Ferreira Observatório Nacional - Córdoba, 6 de agosto de 2015

2 SUMMARY Introduction Cosmic Microwave Background Weak Gravitational Lensing Methodology Results Conclusions 2

3 INTRODUCTION Thermal History Source:: Baumann, Daniel. "TASI lectures on inflation." arxiv preprint arxiv: (2009) 3

4 COSMIC MICROWAVE BACKGROUND Source: NASA/WMAP Science Team 4

5 RADIAÇÃO COSMIC MICROWAVE CÓSMICA DE BACKGROUND FUNDO 5

6 RADIAÇÃO COSMIC MICROWAVE CÓSMICA DE BACKGROUND FUNDO 6

7 RADIAÇÃO COSMIC MICROWAVE CÓSMICA DE BACKGROUND FUNDO Methodolog y Temperature E- Mode B-Mode 7

8 RADIAÇÃO COSMIC MICROWAVE CÓSMICA DE BACKGROUND FUNDO High-order correlations: -Power Spectrum contain all statistical information Temperature E- Mode Non-Gaussian: - Non-zero connected N-point functions B-Mode 8

9 SECONDARY ANISOTROPIES AND FOREGROUNDS Source: 9

10 SECONDARY ANISOTROPIES Source: Baumann, Daniel. "TASI lectures on inflation." arxiv preprint arxiv: (2009) 10

11 Weak Gravitational Lensing 11

12 WEAK GRAVITATIONAL LENSING Source: 12

13 LENTES WEAK GRAVITATIONAL GRAVITACIONAIS LENSING FRACAS 13

14 LENTES WEAK GRAVITATIONAL GRAVITACIONAIS LENSING FRACAS 14

15 WEAK GRAVITATIONAL LENTES GRAVITACIONAIS LENSING FRACAS Lensing PotencialPotential de LGF 15

16 LENTES GRAVITACIONAIS FRACAS WEAK GRAVITATIONAL LENSING Lensing PotencialPotential de LGF 16

17 WEAK GRAVITATIONAL LENTES GRAVITACIONAIS LENSING FRACAS Lensing Potencial Potencialde Potential delgf LGF 17 Source: Lewis, Antony, and Anthony Challinor. "Weak gravitational lensing of the CMB." Physics Reports (2006).

18 Weak Gravitational Lensing of the CMB 18

19 WEAK GRAVITATIONAL LENSING OF THE CMB 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 19

20 WEAK GRAVITATIONAL LENSING OFthe THE CMB LENTES Weak Gravitational GRAVITACIONAIS Lensing FRACAS of NACMB RCF Real Space: CMB without lensing Difference (x5) WL Potential+ Source: Hanson, D. et al. "Weak lensing of the CMB." General Relativity and Gravitation 42.9 (2010):

21 WEAK GRAVITATIONAL LENSING OF THE CMB Temperature Power Spectrum Harmonic space: 21

22 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS NA RCF Temperature Power Spectrum Espectro de Potência da Temperatura CMB CMB+WL 22

23 WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS NA CMB RCF LENTES GRAVITACIONAIS FRACAS NA RCF Temperature Power Spectrum Espectro de Potência da Temperatura CMB CMB+WL 23

24 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS NA RCF Temperature Power Spectrum Espectro de Potência da Temperatura 24

25 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS NA RCF Polarization Power Spectrum Espectro de Potência da Polarização Lensed E-Mode Lensed B-Mode E-Mode 25 Source: Lewis, Antony, and Anthony Challinor. "Weak gravitational lensing of the CMB." Physics Reports (2006).

26 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS Non-Gaussianities Não-Gaussianidades Three-point correlation Function Contributions of <T Ψ> 26

27 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS Reconstruction potential Reconstrução dowl Potencial de LGF T. Okamoto & W. Hu [ astro-ph/ ] Quadratic estimator Can reconstruct CMB lensing potential using observed temperature and power spectrum. CMB with WL effect Reconstruction+Noise 27 Source: Wayne Hu (2001)

28 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS Observations: Status Observacional First detection: WMAP+ACT and SPT (Das, B. Sherwin et al. 2011), (A. Van Engelen, R. Keisler et al. 2012) 28

29 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS Observations: Status Observacional First detection: WMAP+ACT and SPT (Das, B. Sherwin et al. 2011), (A. Van Engelen, R. Keisler et al. 2012) Reconstruction Lensing Potential Map: Planck Satellite 2013 Planck Satellite

30 LENTES GRAVITACIONAIS FRACAS NA CMB RCF WEAK GRAVITATIONAL LENSING OF THE LENTES GRAVITACIONAIS FRACAS Observations: Status Observacional First detection: WMAP+ACT and SPT (Das, B. Sherwin et al. 2011), (A. Van Engelen, R. Keisler et al. 2012) Reconstruction Lensing Potential Map: Planck Satellite 2013 Planck Satellite <l<

31 WEAK GRAVITATIONAL LENSING OF THE CMB Observations- Planck Satellite 31 Source: Ade, P. A. R., et al. "Planck 2015 results. XV. Gravitational lensing." arxiv preprint arxiv: (2015).

32 WEAK GRAVITATIONAL LENSING OF THE CMB Observations- Planck Satellite 32 Source: Ade, P. A. R., et al. "Planck 2015 results. XV. Gravitational lensing." arxiv preprint arxiv: (2015).

33 WEAK GRAVITATIONAL LENSING OF THE CMB Observations- Planck Satellite 33 Source: Ade, P. A. R., et al. "Planck 2015 results. XV. Gravitational lensing." arxiv preprint arxiv: (2015).

34 WEAK GRAVITATIONAL LENSING OF THE CMB Observations- Planck Satellite Planck 2015 Release: Mask Power Spectrum and Noise Power Spectrum Fiducial Power Spectrum 34

35 Methodology 35

36 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) 36

37 METODOLOGIA METHODOLOGY 37

38 METODOLOGIA METHODOLOGY 38

39 METHODOLOGY METODOLOGIA Produção dos Conjuntos de mapas Data Simulation CMB Gaussian (without effect): CAMB Power Spectrum fiducial {CMB-G} Nside=2048, l(max)=

40 Methodology METHODOLOGY METODOLOGIA Produção dos Conjuntos de mapas Maps Simulation Simulations Data CMB-L (with weak lensing effect): {CMB-G} {CMB-L} Lensing Potential mapcalibrated 40

41 Methodology METHODOLOGY METODOLOGIA Produção dos Conjuntos de mapas Maps Simulation Simulations Data 41

42 METHODOLOGY METODOLOGIA Methodology Data Simulation 42

43 Methodology METODOLOGIA Seleção regiões Select das Regions 169 discs 15 radius >80% pixels 43

44 Methodology METODOLOGIA Power Spectrum 44

45 METODOLOGIA Methodology Diferença Power Spectrum dos espectros de potência 45

46 Results 46

47 RESULTS Simulated Maps Source: Ade, P. A. R., et al.. (2015). Source: Delabrouille et al. (2013) 47

48 RESULTADOS RESULTS Mapas Produzidos Simulated Maps {RCF-G}, {RCF-L} Unlensed Lensed- Unlensed Lensed 48

49 RESULTADOS RESULTS Mapas Produzidos Simulated Maps {RCF-G}, {RCF-L} Unlensed Lensed- Unlensed Lensed 49

50 RESULTS Simulated Maps- Power Spectrum 50

51 RESULTS RESULTADOS Power VariaçãoSpectrum do espectro variation de potência 51

52 RESULTS RESULTADOS VariaçãoSpectrum do espectro de potência Power variation

53 RESULTADOS RESULTS VariaçãoSpectrum do espectro de potência Power variation Disc Latitude (b) Longitude (l) Maximum Minimum

54 RESULTADOS RESULTS VariaçãoSpectrum do espectro de potênciamáximo Power variationmaximum 54

55 RESULTADOS RESULTS VariaçãoSpectrum do espectro de potênciamínimo Power variationminimum 55

56 RESULTADOS RESULTS Variação do espectro de potência 56

57 CONCLUSIONS 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. 57

58 Obrigada! Gracias! 58

59 ***Minkowski Functionals 59

60 ***Minkowski Functionals Threshold: 60

61 ***Minkowski Functionals 61

62 ***Minkowski Functionals 62

63 ***Minkowski Functionals Results 63

64 ***Minkowski Functionals ***Minkowski Functionals Results 64

65 ***Minkowski Functionals ***Minkowski Functionals Results 65

66 RESULTADOS Functionals ***Minkowski LENTES GRAVITACIONAIS FRACAS Funcionais Resultsde Minkowski- Regiões de Máximo Máximo Latitude (b) Longitude(l) Calota Área Perímetro Genus 66

67 RESULTADOS Functionals ***Minkowski LENTES GRAVITACIONAIS FRACAS Funcionais Resultsde Minkowski- Regiões de Mínimo Mínimo Latitude (b) Longitude(l) Calota Área Perímetro Genus 67