Title: Electric Dipole Moments and the Origin of Baryonic Matter
1Electric Dipole Moments and the Origin of
Baryonic Matter
PRD 71 075010 (2005) Caltech MAP-312 (in prep)
2What is the origin of baryonic matter ?
3What is the origin of baryonic matter ?
4Baryogenesis and EDMs Theoretical Tasks
- Attaining reliable computations that relate
particle physics models of new CP-violation to
EDMs of complex systems (neutron, atoms, nuclei) -
- Attaining reliable 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 m
- Spacetime dynamics of cosmic phase transitions
5Outline
6Baryon Asymmetry of the Universe (BAU)
7Baryogenesis Ingredients
Sakharov Criteria
- B violation
- C CP violation
- Nonequilibrium dynamics
Sakharov, 1967
8Baryogenesis Ingredients
9Baryogenesis Ingredients
Sakharov Criteria
- B violation
- C CP violation
- Nonequilibrium dynamics
Sakharov, 1967
10Leptogenesis
11EW Baryogenesis Standard Model
Anomalous Processes
Different vacua D(BL) DNCS
Sphaleron Transitions
12EW Baryogenesis Standard Model
13Baryogenesis New Electroweak Physics
Unbroken phase
CP Violation
14EDM Probes of New CP Violation
15Present n-EDM limit
Proposed n-EDM limit
Matter-Antimatter Asymmetry in the Universe
?
M. Pendlebury B. Filippone
n-EDM has killed more theories than any other
single experiment
16Baryogenesis and EDMs Better Theory ?
Non-equilibrium quantum transport
RHIC
Violent departure from equilibrium
Electroweak Baryogenesis
Gentle departure from equilibrium
17Systematic Baryogenesis
Goal Derive dependence of YB on parameters
Lnew systematically (controlled approximations)
18Systematic Baryogenesis MSSM
LEP EWWG
See, e.g., Kang et al for U(1)
19Systematic Baryogenesis
Cohen, Kaplan, Nelson Joyce, Prokopec,
Turok
snow
20Systematic Baryogenesis
Riotto Carena et al Lee, Cirigliano, Tulin,
R-M
Quantum Transport Equation
Schwinger-Dyson Equations
21Systematic Baryogenesis
Departure from equilibrium
- Non-adiabatic evolution of states
degeneracies - Non-thermal distributions
Generalized Greens Functions Closed Time Path
Exploit scale hierarchy expand in scale ratios e
22Scale Hierarchy
Time Scales
Plasma time tP 1/GP
23Quantum Decoherence
L
L DL
24Scale Hierarchy
25Quantum Transport Equations
26EDM constraints SUSY CPV
Different choices for SUSY parameters
27EDM constraints SUSY CPV
28II. Theory Non-equilibrium QFT Quantum
Transport
29Non-equilibrium Quantum Field Theory
Closed Time Path (CTP) Formulation
Conventional, T0 equilibrium field theory
30Non-equilibrium Quantum Field Theory
Two assumptions
- Non-degenerate spectrum
- Adiabatic switch-on of LI
LI
31Non-equilibrium Tgt0 Evolution
Time Scales
Plasma time tP 1/GP
32Non-equilibrium Tgt0 Evolution
33Non-equilibrium Tgt0 Evolution
Generalized Greens Functions
34Non-equilibrium Tgt0 Evolution
Schwinger-Dyson Equations
A few formal manipulations
35Quantum Transport
36Scale Hierarchy
37Systematic Expansion
Distribution functions
38Systematic Expansion
Small e expansion
39Supersymmetric Sources (mSUGRA)
40Supersymmetric Sources (mSUGRA)
41Supersymmetric Sources (mSUGRA)
42Supersymmetric Sources (mSUGRA)
43Supersymmetric Sources (mSUGRA)
44Supersymmetric Sources (mSUGRA)
Previous work
GY gtgt G(-,)
Effect decouples
O (em ep)
45Supersymmetric Sources (mSUGRA)
(Super) gauge interactions
46Supersymmetric Sources (mSUGRA)
O (emep)
47Supersymmetric Sources (mSUGRA)
Resonance Effects
48Supersymmetric Transport Equations
Coupled Transport Equations
Baryon number production
49Baryon Number
50Baryon Number
51Baryon Number GY
52Baryon Number GY
53III. Phenomenology
54SUSY Inputs
55Sources Relaxation
56Baryon Number
57CP Violating Phases
58EDM Constraints
199Hg
59Summary Outlook
- EWB remains a viable option for explaining the
cosmic baryon asymmetry that can be tested and
constrained using EDMs, precision electroweak,
and collider input - New developments using non-equilibrium QFT are
putting YB computations on a more systematic
footing that will allow for detailed
confrontations with lab experiments - Considerable (hard) work remains to be completed
- Exciting field involving an interplay between
cosmology and particle/nuclear physics in both
theory and experiment
Complete set of transport coefficients, refined
studies of bubble dynamics, applications to
various scenarios for new CP-violation,
phenomenology (EDM, B physics, precision
electroweak, collider)
60Non-equilibrium Quantum Transport
61Supersymmetric Sources (mSUGRA)
62Supersymmetric Sources (mSUGRA)
CP Violating Source
O (edep)
63Supersymmetric Sources (mSUGRA)
64Supersymmetric Sources (mSUGRA)