Electric Dipole Moments and the Origin of Baryonic Matter

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Electric Dipole Moments and the Origin of
Baryonic Matter
PRD 71 075010 (2005) Caltech MAP-312 (in prep)
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What is the origin of baryonic matter ?
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What is the origin of baryonic matter ?
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Baryogenesis 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

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Outline
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Baryon Asymmetry of the Universe (BAU)
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Baryogenesis Ingredients
Sakharov Criteria

• B violation
• C CP violation
• Nonequilibrium dynamics

Sakharov, 1967
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Baryogenesis Ingredients
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Baryogenesis Ingredients
Sakharov Criteria

• B violation
• C CP violation
• Nonequilibrium dynamics

Sakharov, 1967
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Leptogenesis
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EW Baryogenesis Standard Model
Anomalous Processes
Different vacua D(BL) DNCS
Sphaleron Transitions
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EW Baryogenesis Standard Model
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Baryogenesis New Electroweak Physics
Unbroken phase
CP Violation
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EDM Probes of New CP Violation
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Present 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
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Baryogenesis and EDMs Better Theory ?
Non-equilibrium quantum transport
RHIC
Violent departure from equilibrium
Electroweak Baryogenesis
Gentle departure from equilibrium
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Systematic Baryogenesis
Goal Derive dependence of YB on parameters
Lnew systematically (controlled approximations)

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Systematic Baryogenesis MSSM
LEP EWWG
See, e.g., Kang et al for U(1)
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Systematic Baryogenesis
Cohen, Kaplan, Nelson Joyce, Prokopec,
Turok
snow
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Systematic Baryogenesis
Riotto Carena et al Lee, Cirigliano, Tulin,
R-M
Quantum Transport Equation
Schwinger-Dyson Equations
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Systematic 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
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Scale Hierarchy
Time Scales
Plasma time tP 1/GP
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Quantum Decoherence
L
L DL
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Scale Hierarchy
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Quantum Transport Equations
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EDM constraints SUSY CPV
Different choices for SUSY parameters
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EDM constraints SUSY CPV
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II. Theory Non-equilibrium QFT Quantum
Transport
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Non-equilibrium Quantum Field Theory
Closed Time Path (CTP) Formulation
Conventional, T0 equilibrium field theory
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Non-equilibrium Quantum Field Theory
Two assumptions

• Non-degenerate spectrum
• Adiabatic switch-on of LI

LI
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Non-equilibrium Tgt0 Evolution
Time Scales
Plasma time tP 1/GP
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Non-equilibrium Tgt0 Evolution
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Non-equilibrium Tgt0 Evolution
Generalized Greens Functions
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Non-equilibrium Tgt0 Evolution
Schwinger-Dyson Equations
A few formal manipulations
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Quantum Transport
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Scale Hierarchy
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Systematic Expansion
Distribution functions
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Systematic Expansion
Small e expansion
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Supersymmetric Sources (mSUGRA)
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Supersymmetric Sources (mSUGRA)
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Supersymmetric Sources (mSUGRA)
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Supersymmetric Sources (mSUGRA)
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Supersymmetric Sources (mSUGRA)
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Supersymmetric Sources (mSUGRA)
Previous work
GY gtgt G(-,)
Effect decouples
O (em ep)
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Supersymmetric Sources (mSUGRA)
(Super) gauge interactions
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Supersymmetric Sources (mSUGRA)
O (emep)
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Supersymmetric Sources (mSUGRA)
Resonance Effects
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Supersymmetric Transport Equations
Coupled Transport Equations
Baryon number production
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Baryon Number
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Baryon Number
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Baryon Number GY
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Baryon Number GY
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III. Phenomenology
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SUSY Inputs
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Sources Relaxation
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Baryon Number
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CP Violating Phases
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EDM Constraints
199Hg
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Summary 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)
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Non-equilibrium Quantum Transport
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Supersymmetric Sources (mSUGRA)
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Supersymmetric Sources (mSUGRA)
CP Violating Source
O (edep)
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Supersymmetric Sources (mSUGRA)
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Supersymmetric Sources (mSUGRA)