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Program 1.The standard cosmological model 2.The observed universe 3.Inflation. Neutrinos in cosmology
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Three questions How much ? ? ? Is there enough mass to close the universe ? Is there evidence for the acceleration of the universe ? Is the universe curved ? Dark matter SN1a CMB
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Dark matter From BBN & CMB: Non-baryonic Dark Matter From counting: Two Dark Matter Problems Baryonic Dark Matter Many (independent evidences) of DM existence All based on gravitation (until now) How much ? From observation: The facts
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Dark matter (i) Rotation curves of spiral galaxies Expect: (Kepler) DM halos Local density Planets
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Dark matter (ii)Galaxy Cluster velocities Virial theorem relates v to M Defined as radius that contains M/2 (50’s) NGC 3198
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DM Lensing (iii)Gravitational Lensing M Apparent True L S
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DM Lensing (iv)Macro Lensing Also good to determine H_0 (if time delay measured)
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DM Lensing (v)Microlensing Magnification Result:
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SN1a as standard candles SN high redshift Others Cepheids (low z) … How much ?
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Expansion and acceleration universe accelerates Notice precision (it used to be 200%) Observation
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Expansion and acceleration
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Coasting point: smaller in the past
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Decoupling and CMB rates Compton Double Compton Bremsstrahlung Important for chemical equilibrium (Effective for z > 10^7) How much ? Effective for z > 10^3 (Limits on energy injection for ex. Particle decays, …)
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Recombination Saha equation x 0 T(eV) time Full calculation Decoupling when e are bound to p forming Hidrogen Last scattering of photons; universe becomes transparent
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Black Body radiation COBE COsmic Backgroung Explorer
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Distribution before & after decoupling Keep same form of equilibrium Photon redshift and dilution New temperature
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Anisotropies gravitation Sources of primary anisotropies 1. from spots where radiation is compressed are hotter 2. climbing potential wells are redshifted 3. from regions with velocity are Doppler-shifted Temperature anisotr. related to density anisotr.
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Correlations anisotropy Two-point correlation
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From COBE to WMAP dipole Maximum fluctuation 75 \mu K
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Correlations observed
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Correlations expected Acoustic oscillations
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Acoustic horizon Last-scattering surface is at (in comoving coor.) Consider comoving scale of sound horizon at LS Projection on the LS surface: Sound velocity
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The position of first peak Open: looks smaller flat open
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Cosmological parameters from CMB Inertia of baryon-photon fluid depends on Affects relative heights of peaks Flat univ. Other cosmological parameters …
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CMB polarization - Polarization at ~ 5% level - Acoustic peaks - E, B modes
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The concordance model
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Cosmic triangle
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Nature of DM and DE is a challenge DM Probably particle physics plays a role DE Perhaps particle physics plays a role Particle physics Cosmology
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The nature of DM
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Weakly Interacting Massive Particles (Lightest Supersymmetric Particle) Axions Massive Astrophysical Compact Halo Object Axinos, Boson stars, Mirror stars, Quark nuggets, etc
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Particles in thermal equilibrium For a species in equilibrium ER NR Define
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Evolution equation (I) Decay law Species Universe expands
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Evolution equation (II) 1) High T, int. rate is high and 2)Depends on energy have to thermalize with thermal distributions Boltzmann eq.
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Evolution equation: freeze-out Interaction rate Expansion rate Freeze-out Particle is coupled Particle is not coupled
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Hot and Cold
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WIMPs as dark matter Heavy neutrino excluded (LEP + direct search) Lightest superparticle (LSP) good candidate Typical weak x-section
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Direct WIMP search CDMS (as an example, there are several searches) Constraints wimp + nuclei -> wimp + nuclei + Energy depend on assumption on WIMP coupling
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DAMA signal Claim WIMP observed m ~ 50 GeV DAMA/LIBRA project
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The nature of DE
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Quintessence Alternative to cosm. const.: quintessence Observed value of cosmological constant much smaller than would expect from vacuum energy in the Standard Model of particle physics Slow-rolling field with instead of Particle physics models giving quintessence fields. Concordance problem: why now ?
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w from observation Also: variation of w with time (crucial por cc vs qu)
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