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Summer Institute 2006: August 2330, 2006 APTCP, Pohang, Korea. AffleckDine Leptogenesis induced by the Flaton of Thermal Inflation. Based on JHEP 0411:046,2004(hepph/0406136). Wanil Park. KAIST. Korea Advanced Institute of Science and Technology. Contents. Introduction Motivation
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Summer Institute 2006: August 2330, 2006 APTCP, Pohang, Korea
Based on
JHEP 0411:046,2004(hepph/0406136)
Wanil Park
KAIST
Korea Advanced Institute of Science and Technology
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 Is this given as initial condition of universe?
 Large enery density → “over closing” universe
 Long life time with large number density → disturbing successful BBN, etc.
* Primordial inflation can dilute sufficiently some heavy unwanted relics,
for example, monopoles
 Small mass→ thermal reproduction after reheating
 Gravitationally suppressed weak coupling → late time decay or stable
?
<
>
~
~
* Observational constraint
Introduction
(Coughlan, et. al., 1983; etc.)
Large entropy release is required
inflation!
→ Low scale
→ small number of efolds
Thermal Inflation
* Dilution factor:
Introduction
* Thermal inflation
(Lyth and Stewart, 1995)
1. GUT baryogenesis & leptogenesis
2. AffleckDine baryogenesis
Thermal
Inflation
Electroweak baryogenesis
Flaton decay
New model
?
MotivationCoherent oscillation of moduli field
 Efficiency: efficient from dilution by entropy release due to flaton decay
=> Proper base of new model = AffleckDine mechanismdue to its efficiency
* AffleckDine mechanism
Angular momentum = charge asymmetry
 Setting initial condition: Hubble terms due to SUSYbreaking effect of finite energy of early universe
term
Neutrino mass term
Flaton self interaction term
with
(D. Jeong, K. Kadota, W. I. Park and E. D. Stewart, 2004)
where

: is unstable at the end of thermal inflation

: is unstable near the end of thermal inflation
 rolls away first, then
 All fields are held at origin initially due to thermal effect
→ stabilizes dangerous directions
1a. rolls away
1c. Fixes initial phase of
2a. rolls away
2c. Fixes phase of
3c. Stabilizes
3a. Brings back into origin
1b. Stabilizes
3b. Rotates the phase of
Dynamics
Dynamics
MSSM
NonMSSM
 Avoiding being trapped : dynamical settling down in our vacuum
 Stability of our vacuum : τ > 1/H
τ = the time scale for quantum tunnelling to the minima
1/H = the age of our universe
 Stability of our vacuum :
τ > 1/H in large enough parameter space
(see “Kusenko, Langacker and Segre, 1996”)
deeper nonMSSM minimum exists with nonzero
but
Give terms linearin
Gives large mass to q
Gives negative mass squared to q
where
Dynamics
 Avoiding being trapped:
decay when field passes near the origin
Dynamics
Damping
Preheating:
energy transfer from homogeneous modes to inhomogeneous modes
Thermal friction:
Moduli
Domination
held at origin
held at origin
held at origin
Thermal
Inflation
rolls away
reaches its VEV
Flaton
Domination
oscillates
decays
Basymmetry diluted but survives
Radiation
Domination
radiation domination
BBN