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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 1
Lecture 20 Nuclear Astrophysics
Baryons, Dark Matter, Dark EnergyBaryogenesis, Leptogenesis
Experimental Nuclear Physics PHYS 741
References and Figures from:- Haxton, “Nuclear Astrophysics”- Basdevant, “Fundamentals in Nuclear Physics
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Pheno Seminar this Friday
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Friday, November 21st, 2008Phenomenology Seminar
Methods to Detect the Cosmic Neutrino Background
Time: 2:30 pmPlace: 5280 Chamberlin HallSpeaker: Bob McElrath, CERN
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Make-Up Physics 741 Lecture
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Friday, November 21st, 2008PHYS 741 Lecture
Time: 11:00 am
Place: 4274 Chamberlin Hall
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Course Project
• Please send me your outline by Friday, November 21
• All talks are to be posted by Friday, December 12, 2008, 5pm CST
• Please post talks (in PDF or PPT) + references (in PDF) if you have them on a website or email them to me so that I can download them and review them before Dec 15-16.
• UW provides MyWebSpace. You can post files there.
• Final presentations will be on December 15, 4-6.30pm and December 16, 9am - noon.
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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 5
What are the characteristics of todayʼs Universe?
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 6
What are the characteristics of todayʼs Universe?
- expansion of Universe- visible Universe- baryons- dark matter- photons- neutrinos- the vacuum
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Milestones in Early Universe
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at T < 100 keVdeuterium formation, followed by BBN
at T < 1 eV (380,000 yrs)photons decouple, cannot break up atomsno more free charges to scatter photonsUniverse becomes transparent
n+p ↔ d+γ p+e- ↔ H+γ
at T ~ 1 MeV (~ 1 sec)neutrinos decouplerelic neutrino spectrum left over
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Occupants of the Universe
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all data from WMAP except for - photon density (COBE)- lower limit of neutrino density (oscillation data)
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Milestones in Early Universe
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at T < 100 keVdeuterium formation, followed by BBN
at T < 1 eV (380,000 yrs)photons decouple, cannot break up atomsno more free charges to scatter photonsUniverse becomes transparent
n+p ↔ d+γ p+e- ↔ H+γ
at T ~ 1 MeV (~ 1 sec)neutrinos decouplerelic neutrino spectrum left over
Relic Neutrinos
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Neutrinos and Cosmology
very early universe | big bang nucleosynthesis | late time structure formation
large-scale structureWMAP
enhanced early ISW effect effect on structure formation
We see imprints of neutrino mass in the structure of todayʼs Universe …
Even small neutrino mass influences power spectrum of galaxy correlations
Neutrinos that are more massive cause more clustering on large scales.
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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Cosmological Information on Neutrino Mass
very early universe | big bang nucleosynthesis | late time structure formation
large-scale structureWMAP
enhanced early ISW effect effect on structure formation
Mass limits comparable to 0νββ experiments, in the range of 0.5-1eV depending on priors for h, Ωbh2, Ωtot. → Cosmological neutrino mass limits probe Dirac and Majorana ν!
Neutrinosʼ contribution to the Universeʼs energy density Ωνh2=Σimi/92.5 eV
Combining WMAP + large scale structure (2dF, SDSS) Ωνh2<0.0076 (95% CL)
If mνe ~ mντ (degenerate neutrino species) mν < 0.55 eV (95% CL)
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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Future Cosmological Constraints on Σmν
Cosmology probes important aspects of particle physics:- Neutrino mass - Dark energy equation of state
Partial degeneracy between mν, ω(neutrino mass states and dark energy equation)→ cross-correlate CMB and LSS, weak lensing, BAO measurements
Planck + LSST-like lensing survey survey ⇒ σ(Σmν)≤ 0.05 eV → probes difference between normal and inverted hierarchy
Ref: astr-ph/0603019
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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Luminosity of High Redshift Objects
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observational evidence for vacuum energy -> positive vacuum energy density
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Heavy Elements:0.03%
Ghostly Neutrinos: ~0.3%
Stars:0.5%
Free Hydrogen and Helium:0.4%
Dark Energy:70%
Dark Matter:25%
Matter in the Universe
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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Occupants of the Universe
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all data from WMAP except for - photon density (COBE)- lower limit of neutrino density (oscillation data)
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Very Early Universe
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at T 100 GeV - 10^12 GeVbaryogenesis & leptogenesis
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Formative Events in the Evolution of the Universe
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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 22
Baryogenesis and Leptogenesis
to explain matter-antimatter asymmetry
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Baryogenesis & Leptogenesis
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baryogenesis = hypothetical physical processes that produced an asymmetry between baryons and anti-baryons in the very early universe, resulting in the substantial amounts of residual matter that make up the universe today
leptogenesis = process which creates leptons
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Baryon Asymmetry of Universe
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If CPT is violated, a baryon number can arise even in thermal equilibrium
!! The observed baryon asymmetry should
be generated dynamically after inflation
!! Matter-antimatter asymmetry can be dynamically generated in an expanding Universe if:
"! B is not conserved
"! C and CP are violated
"! departure from thermal equilibrium
Sakharov conditions
Bennet et al, AJ 2003; Spergel et al, AJ 2003
Sakharov, JETPL 1967
!! Several mechanism have been proposed to generate the baryon asymmetry of the
Universe:
Electroweak baryogenesis, GUT baryogenesis, Affleck-Dine mechanism, Leptogenesis,
Spontaneous baryogenesis, Gravitational baryogenesis, ...
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Sakharov Conditions
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1967
1. baryon number violation
2. violation of C and CP
3. departure from thermal equilibrium
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Mass Spectrum of Light Neutrinos
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Neutrinos !! Large scale structure data can put an upper limit on the ratio due to the neutrino free streaming effect
Bennet et al, AJ 2003
WMAP I + 2dFGRS gives
These upper limit is complemented by the results from neutrino oscillation experiments
Strumia & Vissani 2005, Fogli et al 2005
!! With these data alone, one cannot order the neutrino states by their mass in only one way.
!! The neutrino mass spectrum can be further classified into
!! The three independent mass square differences satisfy
For the case of 3 degenerate neutrino species, the WMAP limit on the sum of the neutrino masses gives
1
1
2
2
mass-scale from atmospheric neutrino oscillations (~ 0.05 eV) cannot be explained in SM
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
See-Saw Mechanism
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Seesaw Mechanism
One of the most attractive ideas for explaining small neutrino masses is the one based on the
Minkowski, PLB 1977
Gell-Mann, Ramond & Slansky, 1979
Yanagida, 1979
Glashow, 1980
Mohapatra & Senjanovic, PRL 1980
When the heavy Majorana neutrinos decay into leptons and
Higgs scalars they violate lepton number, and the
interference between the tree-level and the one-loop amplitudes yields a non-zero CP-asymmetry. This leads to a
lepton asymmetry which is then partially converted into
baryon asymmetry by sphaleron processes.
Leptogenesis
Thanks to MIKE LESTER (and FRJ)
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Light and Heavy Neutrino States
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Quantum correction
10 GeV14 M3
M2M1
Leptogenesis
10 GeV 2
m 3
m 2m 1
ν-oscillations
Seesaw
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Leptogenesis
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Leptogenesis
Sphalerons
Non-perturbative effects
Violate B+L
Conserve B-L
Efficient above the EW scale
Can be converted into baryon number through
(SM)
(MSSM)
Kuzmin et al 1985
Khlebnikov et al 1985
Leptogenesis via heavy Majorana neutrino decay
Asymmetry in the lepton number
Seesaw Mechanism
Neutrino masses
Fukugita & Yanagida, PLB 1986
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Heavy Neutrino Decays in Leptogenesis
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Tree level and one-loop diagrams contributing to heavy neutrinodecays whose interference leads to Leptogenesis.
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
Leptogenesis
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What is a sphaleron? - sphaleron is a static (time independent) solution to the electroweak field equations of the Standard Model involved in processes that violate baryon and lepton number.
- such processes cannot be represented by Feynman diagrams, and are therefore called non-perturbative.
Leptogenesis and Sphalerons- In SM, baryon number violating processes convert three baryons to three antileptons, and related processes. This violates conservation of baryon number and lepton number, but the difference B−L is conserved
- an imbalance of the number of leptons and antileptons is formed first by leptogenesis and sphaleron transitions then convert this to an imbalance in the numbers of baryons and antibaryons.
- today sphalerons are unobservably rare but have been more common at the higher temperatures of the early universe.
Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin
νR neutrinos responsible for generation of lepton asymmetry may also be responsible for smallness of the observed neutrino mass through the see-saw mechanism
Leptogenesis (Fukugita, Yanagida, 1986) • Out-of-equilibrium L-violating decays of heavy Majorana neutrinos leading to L asymmetry but leaving B unchanged.
→ Anomalous processes change BL and LL but not BL-LL. Redistribute L asymmetry. L in Universe is mostly carried by 2°K neutrinos. Observable effect is baryon asymmetry.
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