sz power spectrum from self- consistent x-ray...
TRANSCRIPT
![Page 1: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/1.jpg)
SZ power spectrum from self-consistent X-ray analysis
Pierre Delsart*, Domingos Barbosa°, Alain Blanchard*
* IRAP - Toulouse, France
° Instituto de Telecomunicaçoes - Aveiro, Portugal
17/02/2012 - Planck 2012 Conference
![Page 2: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/2.jpg)
Outline
X-ray results
Modelling of SZ contribution
Results on SZ power spectrum
Conclusion
2
![Page 3: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/3.jpg)
Population very sensitive to the mass & growth factor
Modeling by mass function (Press & Schechter 1974)
Need mass Mv =4π
3R3
v!ρ
Dependent of the cosmology (Ωm,σ8...)
N(M) =!
Mf(")
d#
dM
X-ray resultsMotivation
3
![Page 4: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/4.jpg)
4
The temperature function
From the mass function
From the observations
N(> kBT ) =!
kTi>kT
1
V (kTi)
!2(> kBT ) =!
Ti>T
1
V 2(kBT )
N(> kBT ) =
! +!
M(T )N(m)dm
X-ray results
![Page 5: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/5.jpg)
X-ray resultsThe samples
(see http://bax.ast.obs-mip.fr, Vikhlinin et al.2009, Ebeling et al.2007, Ebeling et al.2010)
![Page 6: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/6.jpg)
X-ray results
T = ATM (hMv)2/3
!!m
"(!m, z)
178
"1/3
(1 + z) (1 + z)!
6
![Page 7: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/7.jpg)
Using all samples
SMT
Tinker
7
X-ray results
(Delsart & Blanchard, in prep.)
![Page 8: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/8.jpg)
8
Modelling of SZ contribution
Cl = f(x)2! zmax
0dz
dV
dzdΩ
! Mmax
Mmin
dMdN(M, z)
dM|yl(M, z)|2
yl !! +!
0T (r)ne(r)
sin(lr/DA)
lr/DAr2dr
Need gas profil
Use of a scaling relation T-M
![Page 9: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/9.jpg)
9
Modelling of SZ contributionGas profil and scaling law
Simple β-model β=0.8
Exponential cut in radius
! exp
("r2
r2v
).
ξ = 0.6withTgas = !TX
![Page 10: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/10.jpg)
10
Modelling of SZ contribution
Reichard et al.2009
Das et al.2010
Keissler et al.2011Reichard et al.2011
![Page 11: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/11.jpg)
11
Results on the SZ power spectrumDependency on cosmological parameters
Keep the self-consistency with X-ray
![Page 12: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/12.jpg)
12
Results on the SZ power spectrumDependency on scaling law and gas profil parameters
Effect of redshift evolution
![Page 13: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/13.jpg)
13
Results on the SZ power spectrumSZ flux cut-off
(see Delsart et al., A&A 2010, 524, A81)
Y ! !ATMfBM5/3v h8/3
!!m
"
178
"(1 + z)1+!D!2
![Page 14: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/14.jpg)
14
Results on the SZ power spectrumTotal CMB power spectrum
(Delsart, Barbosa & Blanchard, in prep.)
![Page 15: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/15.jpg)
15
Conclusion
Strongly dependant of gas profil parameters
Evolution is one of possible solution to explain decrement in the SZ part
X-ray observations suggest evolution in T-M
Evolution measured and constrained
Errors on the modelling due to cosmological parameters are reasonable
![Page 16: SZ power spectrum from self- consistent X-ray analysisevents.iasfbo.inaf.it/planck-2012/talks/con/Delsart_talk_Planck...° Instituto de Telecomunicaçoes - Aveiro, Portugal pierre.delsart@irap.omp.eu](https://reader036.vdocument.in/reader036/viewer/2022070615/5c5c79ad09d3f2d72f8b725f/html5/thumbnails/16.jpg)
Thank you for your attention