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Eung Jin Chun
Leptogenesis & Dirac gaugino dark matter
Yonsei University, Oct. 19, 2010
EJC, J.C. Park, arXiv:0812.0308 [hep-ph]EJC, J.C. Park and S. Scopel, arXiv:0911.5273 [hep-ph]EJC, arXiv:1009.0983 [hep-ph]
Contents
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Neutrino mass and Seesaw mechanism
Leptogenesis
Dark matter: theory & experiments
Dirac gaugino dark matter
Leptogenesis origin of baryons and dark matter
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Neutrino Mass & Seesaw Mechanism
Dirac neutrino
L = LSM + yν LHνc
Majorana neutrino
L=LSM + yν2 LHLH/2M
Seesaw type I
L=LSM + yν LHN + M NN/2
Seesaw type II
L=LSM + yν LL∆ +μ HH∆ + M2|∆|2
Seesaw type III
L=LSM + yν LH∑ + M ∑∑/2
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Neutrino beyond Standard Model
yν ~ 10-12
yν ~ 1, M~1014 GeV
∆ = (∆++,∆+, ∆0) Y=1
∑ = (∑ +, ∑ 0 , ∑ -) Y=0
Majorana
(Dirac)
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Neutrino masses
Weak eigenstates: να
Mass eigenstates: νi
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Recent oscillation dataMINOS (10) KAMLAND (Jan. 08)
For a light neutrino,
A generous limit on the relic density, Ωh2< 0.1, gives
Neutrino is hot dark matter.
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Absolute mass & cosmology
eV 30/
433
3
2 ννγ
γ
νν ρ mmn
TTh c ≈⎟⎟⎠
⎞⎜⎜⎝
⎛××=Ω
eV 3≤νm
Neutrinos are hot dark matter.
They freely stream away to disturb the formation of small scale structures.
Scales smaller than dFS damped out suppressed power spectrum.
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Impact on structure formation
eV932 ∑=Ω ν
ν
mh K2
114 3/1
≈⎟⎠⎞
⎜⎝⎛= γν TT
1eVFS Gpc 1~ −md
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Limit on the absolute mass
Gonzalez-Garcia, Maltoni, Salvado, 1006.3795
Baryogenesis
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
QFT says every particle has a corresponding antiparticle.
The very early universe right after the Bigbang was in the thermal equilibrium of all the particles, antiparticles and radiations and started with a symmetric state.
Then, the asymmetry in baryons and antibaryons can be generated dynamically during the evolution of the Universe if QFT has
Baryon number violation
C & CP symmetry violation
Interactions out of equilibrium [Sakharov, 1967]
Leptogenesis
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Seesaw mechanism realizes the Sakharov conditions of Lepton number violation
C & CP violation
Out of equilibrium
It generates a lepton asymmetry which is transformed to a baryon asymmetry through the anomalous SU(2)L process.
Standard Leptogenesis (Type I)
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
• L asymmetry from N decay: (CP phase in Yν)
Davidson-Ibarra
• Seesaw with heavy right-handed neutrinos:
• N decay: C/CP violation (CP phase)
Out of equilibrium (Γ< H)
Standard Model violates B+L
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
B+L is anomalous :
• Active B+L violation at finite temperaure :
L to B conversion
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Standard interactions in thermal equilibrium:
L asymmetry converted to B asymmetry: nB=cSP Li (cSP=28/79)
(M > 109 GeV)g* ~ 100, η<1, ε>10-7
B-L=0
B+L=0(B-L)i =-Li ≠ 0
(B-L)f ≠ 0
Abundant non-baryonic matterUnidentified matter 5 times more than baryons in the Universe.
Ω DE h2 = 0.361 +/- 0.008
Ωm h2 = 0.1349 +/- 0.004
ΩΒ h2 = 0.0226 +/- 0.0008
Ων h2 = 0.0005 – 0.0047
ΩDM h2 = 0.1123 +/- 0.0035
Ωr h2 = 2.469x10-5
Coincidences? Ω DE ~ 3 ΩDM, ΩDM ~ 5 ΩΒ
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
WMAP7 + BAO + H0Komatsu et al. 2010
DM clumps baryons
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Matter-radiation equality: DM perturbation to grow.Baryons & photons start to oscillate as acoustic waves.DM clumps drag baryons to form galaxies.
Baryon Acoustic Oscillation
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
DM clumped to baryon acoustic peak is observed in the correlation of luminous red galaxies.
Ω m h2 = 0.120.130.14
Acoustic oscillationPropagation of initial point-like perturbation in media composed of DM, baryons, photons, neutrinos, caused by the interplay of gravity & gas pressure.
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
CMBR power spectrum
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Photons free to travel at recombination.Baryons & dark matter detectable from CMBR peaks.
ΩB/Ωγ Ωm/Ωr
Ωr = Ωγ+ν = 1.69 Ωγ
What we know about DMNeutral
Non-baryonic
Stable on cosmological time
Cold: massive, non-relativistic
Current portion of the energy density:
ρDM = mDM nDM = 0.2ρc
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
DM CandidatesGravitino
Axion, Axino
Gaugino, Higgsino, sneutrino
KK particle
keV neutrino (WDM)
new singlets (LDM)
new gauge multiplets (MDM, IDM)
Hidden particles (Higgs/kinetic portal)
……
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Origin of DM population
Non-thermal
Thermal freeze-in
Thermal freeze-out: standard cosmology
Thermal freeze-out: non-std. cosmology
Baryo-DM genesis
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Non-thermal production
ex) inflaton decay: φ DMno information on DM interactionno need to be in equilibriumReheat temperature dependent:
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Freeze-in
Extremely weak interaction; never in thermal equilibrium. (axino, gravitino, Dirac sRHN)
Produced from scatterings or decays of thermal particles.Interaction rate: Γ∼ λ2T (for T > m)
Expansion rate: H∼ T2/MP
Γ < H λ2 < T/MP λ < (m/MP)1/2∼10-8
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
“EWIMP”: K-Y.Choi, Roszkowski, hep-ph/0511003
Hall, Jedamzik, March-Russell, West, 0911.1120
Freeze-in
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Boltzmann equation:
Simple solution:
Freeze-out
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Out of equilibrium when relativistic
In thermal equilibrium
Out of equilibriumwhen non-relativistic
Freeze-out: hot dark matter
When relativistic: very weak interaction
YDM =10-3, mDM=0.4 keV
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Freeze-out: cold dark matter
When non-relativistic: weak interaction
YDM =10-12, mDM=400 GeV
Non-relativistic freeze-out determines:
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Neutrinos as DM
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
The standard weak interaction of a 10 GeV neutrino
[Lee-Weinberg, 1977]
HDM
CDM
Freeze-out: non-standardStronger interaction:
freeze-out at lower Tf, suppressed ΩDM
ΓA = Hnon-st > Hst
ex) Kinetic energy dominance in quintessence model:
Hkin ~ T3 vs. Hst ~ T2
Right ΩDM for Stronger interaction
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Freeze-in vs. Freeze-out
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Freeze-in:
Freeze-out:
Toward identifying DM
What mass? What interactions?Cosmic production.
Indirect detections:
Annihilation: DM+DM V V, f f
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Gamma rays: Fermi, HessNeutrinos: IceCube, AMANDA, ANTARESAntiparticles: PAMELA, ATIC, FERMI, AMS2
Toward identifying DMDirect detection:
Scattering: DM + N DM + N
CDMS, Xenon, DAMA, CoGeNT,
COUPP, CRESST, KIMS, …
Production at LHCultimately identify DM mass & interactions.
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Pamela
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
e+/(e++e-) p/p-arXiv:0810.4995, 4994 [astro-ph]
ATIC/PPB/FERMI/HESS
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Grasso, et.al.,0905.0636
DM interpretation
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
This is for annihilationto e+μ+τ
Puzzles for DM interpretationExcesses in e+/e-; not in p.
Observed fluxes ~ 100 x predicted flux for thermal DM:
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
-
New DM ideasLeptophilic property:
1) DM couplings dominantly to leptons.
2) DM annihilates to sub-GeV particles: kinematics forbid the decay to p+p.
Boosted annihilation in galaxy: 1) Non-thermal DM.
2) Local clumpiness.
3) Breit-Wigner resonance.
4) Sommerfeld enhancement.
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
-
Sommerfeld factor with U(1)X
2010-10-21 KPSIdentifying DM EJChun@KIAS48
PAMELA/FERMI: <σv>XX ~ 10-6 GeV-2
Sommerfeld factor ~70 for mDM= 1 TeVmissing factor ~10 from local clumpiness.
EJC & Park, 0812.0308
Annihilation mediatedby U(1)X :
Direct detection: θ < 10-6
Direct detection
θ < 10-6
λ<1
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
DAMA modulation signal
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Fairbairn, Schwetz, 0808.0704
Magnetic Inelastic DM
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Chang, Weiner, Yavin, 1007.4200
CDMS
CRESST-II
XENON 10
KIMS
ZEPLIN-III
DAMA & CoGent for a light DM
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
DAMA: 2003-2010CoGent: 2010
© T.Schwetz, IDM10
10 GeV DM with U(1)X
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Mambrini, 1006.3318
mX ~ 10 GeV, mDM ~ 5-10 GeV, θ ~ 10-4
10 GeV DM with a light HiggsLarge scattering rate mediated by a light Higgs boson:
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Andreas, et.al., 1003.2595Bae,Kim,Shin, 1005.5131Belikov,Gunion,Hooper,Tait,1005.0549Draper,Liu,Wagner,Want,Zhang,1009.3963
χ10 = singlino
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Dirac GauginoDark Matter
EJC, J.C. Park, 0911.5273
Dirac vs. Majorana DMAnnihilation to fermions: no mf
2 suppression,
Nucleonic scattering σSI through Z/h exchange:
(Almost) Dirac gaugino requires a huge suppression of R-symmetry breaking: mM 0
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Dirac gaugino
δ~Higgsinocomponent
Requiring (almost) pure DiracHow tiny are the Majorana terms?
In the limit of
For small mass splitting, Bino2 decays to Bino1+photon by the effective operator;
Require its lifetime much longer than the age of the Universe:
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
τ> 1026 sec
Requiring (almost) pure Dirac
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Lower bound of anomaly mediated SUSY breaking:
Avoid the ordinary μ and Bμ terms:
Arkani-Hamed, Dimopoulos, Giudice, Romanino, 2004
Hu Hd
Bμ
μ
R-symmetric gauge-Higgs sector
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Extend with Ru,d=anti-Hu,d and
Φ0/Φ1,2,3 = anti-Bino/Wino;
Two R-symmetries:
The above breaks N=2 SUSY: ξ1 = ξ2, J(H) = J(R).
The field X breaking R-symmetries:
Kribs, Poppitz, Weiner, 07
EJC, J.C. Park, 0911.5273
R-symmetric gauge-Higgs sector
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Dirac gaugino mass and extended μ term from
Suppressed Majorana mass term:
B-term for a proper EWSB: HuHdXW|F
Extended neutralino sector
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
In the basis of
Extended neutralino sector
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Diagonalized by six angles;
Diagonal mass matrix;
Dirac Bino interaction
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Interaction vertices in the mass basis;
Approximate formula
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
In the small mixing limit: mZ << μ1,2 = M1;
Nucleonic scattering of Dirac gaugino
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Spin-independent cross-section by Z/h exchange:
2
Direct detection of Dirac gaugino
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Dirac gaugino Annihilation
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Main channels:
Others suppressed by v2:
Annihilation into leptons/quarks suppressed by slepton/squark mass leptophilic for lighter slepton:
Astrophysical constraints on σA
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Gamma ray constraint by FERMI
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
mDM= 0.2TeV
0.5 TeV
1 TeV1.2 TeV
2 TeV
Dirac gaugino parameter space
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
μ1 = μ2 μ1 = 0.1 μ2
Excluded by PAMELA anti-proton
Excluded byFERMI gamma ray
BF<10
10-3
1xσCDMS
10-3
10-5
1xσCDMS
Large Higgsinofraction
BF<10
Excluded by PAMELA anti-proton
Large Higgsinofraction
Leptophilic for PAMELA/FERMI?
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
mslepton= 2mDM
mslepton= mDM
σPAMELA/σA
Ωobs/Ωχ
Fitting PAMELA/FERMI
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
mDM=465 GeV(BF=10)
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Genesis of Baryons & Dark Matter
Baryo-DM genesisΩDM/ΩB = 5 : coincidence?Postulate the same origin for matter-antimatter asymmetry & dark matter population.
ΩDM/ΩB = mDMYDM/mBYB
i) YDM ~ YB, mDM ~ 5 GeV (for COGENT/DAMA)
ii) YDM ~ 0.01YB, mDM ~ 500 GeV (?)
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Techni-baryons
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Consider a GUT group containing both the baryon sector and the techni-baryon sector
Asymmetries in both sectors can be assumed to arise from a heavy GUT particle decay: YB = YTB.
ρB= YB mB, ρTB= YTB mTB = ρDM
ΩDM/ΩB = m TB/mB = 5 if ΛTB/ΛB = 5
Nussinov, PLB,1985
Asymmetric Dark Matter
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Assume an initial B-L asymmetry
Add an interaction which equilibrate the dark matter asymmetry and the initial B-L asymmetry
E.g., an interaction conserving B-L+DM/2 number: L H X X
Kaplan, Luty, Zurek, 0911.4117
Chemical equilibrium relation
Interaction rate > Expansion rate
Equilibration interaction
Recent inventions
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Darkogenesis, Shelton, Zurek, 1008
Hylogenesis, Davoudiasle et.al., 1008
Xogenesis, Buckley, Randall, 1009
Aidnogenesis, Blennow, et.al., 1009
Leptogenesis origin of Dirac gaugino dark matter
CP asymmetries in heavy seesaw particle decays produce both L-asymmetry and DM asymmetry
YDM /YB ~0.01 obtained by a mild hierarchy of Yukawa couplings of heavy seesaw particles
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
EJC, 1009.0983
Leptogenesis origin of Dirac gaugino dark matter
Type II seesaw superpotential:
Generalized DM number conservation:
Triplet scalar and fermion decays:
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Leptogenesis origin of Dirac gaugino dark matter
Decay asymmetries:
ΩDM/ΩB= mχ²DM/mB²B-L =5 obtained with
λ/(y~λc) ~ 0.3–0.1 & m χ~ 50–500 GeV
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Conclusion
2010-10-19 Yonsei U.Leptogesis & Dirac gaugino dark matter EJChun@KIAS
Three important puzzles waiting to be solved.
Why neutrino masses are so small?
What happened to the antimatter in the universe?
What is the identity of dark matter?
Seesaw mechanism leading to leptogenesis connects the first two questions.
The origin of dark matter and baryons may be related.
Many DM searches + LHC may resolve all the questions in the near future.