SUSY Baryogenesis, EDMs, & Dark Matter: A Systematic Approach M.J. Ramsey- Musolf V. Cirigliano Caltech C. Lee INT S. Tulin Caltech S. Profumo Caltech PRD 71: 075010 (2005), hep-ph/0603058 (PRD), hep-ph/0603246 (JHEP)
Jan 20, 2018
SUSY Baryogenesis, EDMs, & Dark Matter: A Systematic Approach
M.J. Ramsey-Musolf
V. Cirigliano CaltechC. Lee INTS. Tulin CaltechS. Profumo Caltech
PRD 71: 075010 (2005), hep-ph/0603058 (PRD), hep-ph/0603246 (JHEP)
The Origin of Matter & Energy
Beyond the SM SM symmetry (broken)
Electroweak symmetry breaking: Higgs ?
Baryogenesis: When? SUSY? Neutrinos? CPV?
WIMPy D.M.: Related to baryogenesis?
“New gravity”? Grav baryogenesis ?
Weak scale baryogenesis can be tested experimentally Cosmic Energy Budget
?
What is the origin of baryonic matter ?
Cosmic Energy Budget
Baryons
Dark Matter
Dark Energy
Searches for permanent electric dipole moments (EDMs) of the neutron, electron, and neutral atoms probe new CP-violation
€
r E
€
r d = d
r S
€
νEDM = − dr S ⋅
r E
h
T-odd , CP-odd by CPT theorem
What are the quantitative implications of new EDM experiments for explaining the origin of the baryonic component of the Universe ?
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YB = ρ B
sγ
=(7.3 ± 2.5) ×10−11
(9.2 ±1.1) ×10−11
BBN
WMAP
EDM Probes of New CP Violation
f dSM dexp dfuture
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e−
n199Hg
μ
< 10−40
< 10−30
< 10−33
< 10−28
< 1.6 ×10−27
< 6.3 ×10−26
< 2.1×10−28
< 1.1×10−18
→ 10−31
→ 10−29
→ 10−32
→ 10−24
CKM
If new EWK CP violation is responsible for abundance of matter, will these experiments see an EDM?
Also 225Ra, 129Xe, d
See Pospelov, Plaster
Baryogenesis and EDMs: Theoretical Tasks
• Attaining reliable computations that relate particlephysics models of new CP-violation to EDMs ofcomplex systems (neutron, atoms, nuclei)
• Attaining reliable (systematic) computations of the baryon asymmetry from fundamental particle physics theories with new CP-violation
Nonperturbative QCD, atomic & nuclear structure
• Non-equilibrium quantum transport• Non-zero T and • Spacetime dynamics of cosmic phase transitions
Equally difficult but less studied This talk series
Baryogenesis: New Electroweak Physics
Weak Scale Baryogenesis
• B violation
• C & CP violation
• Nonequilibrium dynamics
Sakharov, 1967
?
ϕ new
?
φ(x)
Unbroken phase
Broken phaseCP Violation
Topological transitions
1st order phase transition
• Is it viable?• Can experiment constrain it?• How reliably can we compute it?
?
γ
?
e -?
ψnew
?
ϕ new
?
ϕ new
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W
€
W
€
JμB
€
qL
Theoretical Issues:Transport at phase boundary (non-eq QFT)Bubble dynamics (numerical)Strength of phase transition (beyond MSSM)EDMs: many-body physics & QCD
Systematic Baryogenesis
Unbroken phase
Topological transitions
Broken phase
1st order phase transition ?
φ(x)
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∂rB
∂t− D∇ 2ρ B = −ΓWS FWS (x) nL (x) + Rρ B[ ]
FWS (x) !0 deep inside bubble
nL produced in wall & diffuses in front
Cohen, Kaplan, Nelson Joyce, Prokopec, Turok
“snow”
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W
€
W
€
JμB
€
qL
Systematic Baryogenesis
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∂ni
∂t− D∇ 2ni = S n j ,T,ϕ , ˜ M ( )
Quantum Transport Equation
Unbroken phase
Topological transitions
Broken phase
1st order phase transition ?
φ(x)
= +
+
+ …€
˜ G
€
˜ G 0
€
˜ G 0
€
˜ G 0
€
˜ Σ
Schwinger-Dyson Equations
Riotto Carena et al Lee, Cirigliano, Tulin, R-M Konstandin et al
Compute from first principles given Lnew
Systematic BaryogenesisDeparture from equilibrium• Non-adiabatic evolution of states
& degeneracies
• Non-thermal distributions
= +
++…
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˜ G
€
˜ G 0
€
˜ G 0
€
˜ G 0
€
˜ Σ
Generalized Green’s Functions: Closed Time Path
Exploit scale hierarchy: expand in scale ratios
Scale Hierarchy
T > 0: Degeneracies
€
q
€
q
€
gM(T)
P(T)
vW > 0: Non-adiabaticity
vW
Time Scales
Plasma time:
P ~ 1/P
Decoherence time:
d ~ 1/vW k)
€
˜ t L
e.g., particle in an expanding box
Scale Hierarchy
Time scales:
p = int / P ~ P /
d = int / d ~ vwk /
<< 1
<< 1
P Cf / m2 + Cf T2 + k2 k / 1 vw ~ 0.1
int ~ 1/P ~ 1/P d ~ 1/(vwk)
Energy scales:
T << 1
Quantum Transport Equations
= + + …
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˜ G
€
˜ G 0+
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˜ G 0
€
˜ G 0
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˜ Σ
Expand in d,p,
Currents
CP violating sources Links CP violation in Higgs
and baryon sectors
Chiral Relaxation
Strong sphalerons
Producing nL = 0
• SCPV
• M , H , Y , SS
From S-D Equations:
• SCPV
• M , H , Y
Numerical work:
• SS
Riotto, Carena et al, Lee et al
Lee et al
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∂Xμ jμ (X) = d3z dz0 Σ>(X,z) G<(z, X) − G>(X,z) Σ<(z,X) +L[ ]−∞
X 0∫∫
Approximations
• neglect O() terms
Some Results: Preview
Baryon Number (Illustrative, MSSM)
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YB = ρ B
sγ
= F1 sinφμ + F2 sin(φμ + φA )
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F1∝S ˜ H
CPV
Γ ΓWS
Γdiff
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F2∝S˜ t
CPV
Γ ΓWS
Γdiff
Higgsinos Squarks
MSSM EWB: Higgsino-Gaugino driven
Resonant CPV & Relaxation
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ˆ S ˜ H
€
RΓ
€
(GeV )
€
(GeV )
€
M ˜ W
Huet & Nelson
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M ˜ W
CP violation Relaxation
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F1∝S ˜ H
CPV
Γ ΓWS
Γdiff
See C. Lee talk
Baryon Number & Y
Cirigliano, Lee, R-M, Tulin
gH
tLtLtR
Joyce, Prokopec, Turok
€
YB = ρ B
sγ
= F1 sinφμ + F2 sin(φμ + φA )our Y
previous Y
See S. Tulin talk
EDM constraints & SUSY CPV
One-loop vs. Two-loop EDMsSee S. Profumo talk
See C. Lee talk
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γ
€
˜ e
€
e−
€
˜ e
€
χ 0
EDM constraints & SUSY CPV
SUGRA: M2 ~ 2M1 AMSB: M1 ~ 3M2
See Profumo talk
LEP II Exclusion
Neutralino-driven baryogenesis
Baryogenesis
Two loop de
DM Considerations
| sin ϕ | > 0.02
| de , dn | > 10-28 e-cm
Mχ < 1 TeV
Conclusions
• New EDM experiments can test -- and possibly rule out -- EWB as a paradigm for explaining the BAU provided sufficiently reliable computations of YB can be performed
• Progress is being made in obtaining systematic computations of YB by computing all relevant transport coefficients in a consistent framework
• There exists a rich phenomenology involving cosmology, EDMs, LHC, ILC in SUSY and beyond as well as additional formal work to be undertaken