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A VIEW ON THE MATTER POWER AT MEDIUM SCALES
MATTEO VIEL
INAF and INFN Trieste
COSMOCOMP Workshop @ Trieste – 7thSeptember 2012
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OUTLINE
- Neutrinos/warm dark matter impact at the linear order
- Neutrinos/warm dark matter in N-body/hydrodynamic simulations: methods
- Neutrinos/warm dark matter impact on cosmological structures
- Constraints on neutrinos and warm dark matter
QUANTITATIVE COSMOLOGY PHYSICAL EFFECT AT LINEAR ORDER
PHYSICAL EFFECT VIA NUMERICAL MODELLING (NON LINEAR)
MEASURE THE EFFECT FROM REAL DATA (IF POSSIBLE)
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NEUTRINOS
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NEUTRINOS in the linear regime
€
aeqfν = aeq
fν = 0(1− fν )−1€
fν = Ων
Ωm
= Ων
ΩBaryons + ΩCDM + Ων
Shift of the matter radiation equality Suppression of power in the linear regime (CMB + BAO/SN constraints) (Constraints from the LSS)
Lesgourgues & Pastor 2006
Mn < 0.6 eV Mn < 0.2-0.3 eV
Komatsu et al. 2011
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NEUTRINOS in the the non-linear regime: methods - I
- NEUTRINO PARTICLES: included in the simulations in the initial conditions with their momentum and clustering properties. Depending on the problem one could follow forces on neutrinos either on the particle mesh grid only or using the tree. This method is prone to Poisson noise.
- FOURIER/GRID NEUTRINOS: Neutrino clustering followed on the particle-mesh grid (code is interfaced with CAMB tables). Neutrino clustering kept at the linear level. Fast method.
- HYBRID CODE: that follows the neutrinos in momentum space (time consuming and applied to single objects)
- NEW BOLTZMANN CODE: The smooth neutrino component is evaluated from that background (N-body simulations) by solving the Boltzmann equation linearised with respect to the neutrino overdensity (Yacine & Bird 2012)
RECENT REFERENCES: Brandbyge et al. 2008 JCAP, 08, 20 Brandbyge et al. 2009 JCAP, 05, 002 Brandbyge & Hannestad 2010 JCAP, 09, 014
MV, Hahnelt & Springel 2010 JCAP, 06, 015 Bird, MV & Haehnelt 2012 MNRAS, 420, 2551
Wagner, Verde & Jimenez 2012 arXiv
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Matter power @ z = 3
1) Significant non linearevolution at the smallest scales
2) Percent level discrepanciesbetween particle and grid methods
3) Poissonian contribution affectssmall scales
Methods differ
NEUTRINOS in the the non-linear regime: methods - II
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NEUTRINOS and the Intergalactic Medium (IGM)
Viel, Haehnelt & Springel 2010, JCAP, 06 ,15
TreeSPH code Gadget-IIIfollows DM, neutrinos, gas and starparticles in a cosmological volume
Since small scales are important weneed to include baryons
Mn < 0.9-1 eV (2s)
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NEUTRINOS: impact on the non-linear matter power
Viel, Haehnelt & Springel 2010, JCAP, 06 ,15
Full hydro simulations: be aware that gas physics does impact at the <10 % level at scales k < 10 h/Mpc
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NEUTRINOS: the neutrino power spectrum
Increasing neutrino mass
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N-body simulations: non-linear regime Bird, MV, Haehnelt 2012
LINEAR
SIMULATIONS
HALOFIT
CAMB patches available @ http://www.sns.ias.edu/~spb / FIT TO THE SIMS
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NEUTRINOS: peculiar velocity evolution of neutrinos and DM
Francisco Villaescusa-Navarro et al. 2012
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NEUTRINOS: density profiles
Francisco Villaescusa-Navarro et al. 2012
DARK MATTER NEUTRINOS
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NEUTRINOS: constraints
Mn now in the range 0.05 – 0.3 eV
Tightest constraints from the SDSS Lyman-a forest (Seljak et al. 06): < 0.17-0.19 eV (2s)
LSS constraints from SDSS LRGs Mn < 0.26 eV (De Putter et al. 2012)
Constraints from CFHTLS+VIPERS reconstruction of the non-linear P(k): < 0.3 eV
Xia, Granett, MV et al. 2012
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NEUTRINOS: CFHTLS + VIPERS in harmonic space
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NEUTRINOS: CFHTLS+VIPERS and neutrino masses
Xia, Granett, MV et al. 2012
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WARM DARK MATTER
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Warm Dark Matter and structure formation
LCDMk FS ~ 5 Tv/Tx (m x/1keV) Mpc-1
See Bode, Ostriker, Turok 2001 Abazajian, Fuller, Patel 2001 Avila-Reese et al. 2001 Boyarsky et al. 2009 Colin et al. 2008 Wang & White 2007 Gao & Theuns 2007 Abazajian et al. 2007 Lovell et al. 2009 Maccio’ et al. 2012
z=0
z=2
z=5
1 keV
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Warm Dark Matter and non-linear power - II
Range of wavenumbers important for weak lensing tomography , IGMand small scale clustering of galaxies!
MV, Markovic, Baldi & Weller 2012 MNRAS, 421, 50
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WDM and non-linear power - III: astrophysics
(see also Rudd et al. 08,Guillet et al. 10Van Daalen et al. 11,Casarini et al. 11Semboloni et al. 11Lovell et al. 12Kang et al. 12)
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WDM and non-linear power: application to weak lensing
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WDM constraints from LSS
Tightest constraints on mass ofWDM particles to date:
m WDM > 4 keV (early decoupled thermal relics)
m sterile > 28 keV (standard scenario)
MV et al. 08Seljak et al. 06
Boyarsky et al. 09COLD + WARM DARK MATTER
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WDM and non-linear power: weak lensing - I
See Smith & Markovic 2011 for a comprehensive study of the halo model in WDM
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Brandbyge et al 08
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NEUTRINOS in the the non-linear regime: methods - II
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NEUTRINOS: matter and halo clustering
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NEUTRINOS: CFHTLS+VIPERS and the non-linear regime
Coupon et al. 2012
Granett et al. 2011
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Tools: high performance computational facilities
Darwin HPCS @ Cambridge Cosmos Supercomputer@Cambridge
New Fermi @ CINECA (Italy)
Neutrino universe simulations(in order to appreciate non-lineareffects):
default runs (with hydro): ~ 10 khrs (total wallclock time)
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Neutrinos in hydro simulations: the distribution of high-z voids
Navarro-Villaescusa, Vogelsberger, MV, Loeb 2012
PDF of rare events does carry informationsee e.g. Paranjape & Sheth 12
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NEUTRINOS: halo mass functions
Marulli, Carbone, MV, Moscardini e Cimatti 2011, MNRAS, 418, 346
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NEUTRINOS: Number of relativistic species
Xia, Granett, MV et al. 2012