Nuclear Physics and the New Standard Model

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Nuclear Physics and the New Standard Model
M.J. Ramsey-Musolf Wisconsin-Madison
NPAC
Theoretical Nuclear, Particle, Astrophysics
Cosmology
http//www.physics.wisc.edu/groups/particle-theory
/
Taiwan , June 2008
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The Big Picture
Solar ns the neutrino revolution
Fifty years of PV in nuclear physics
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Goals

• Show how studies of fundamental symmetries
  neutrinos in nuclear physics can complement high
  energy searches for the new Standard Model
• Introduce some of the basic ideas theoretical
  machinery, but leave details to your future
  reading
• Describe recent progress open problems
• Encourage you to learn more and get involved in
  research !

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Outline

1. Overview Motivation
2. Illustrative Scenario Supersymmetry
3. Neutrinos Lepton Number ????
4. EDMs the Origin of Matter
5. Electroweak Precision Observables
6. Weak Decays
7. Neutral Current Processes

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References

• Low Energy Precision Test of Supersymmetry,
• M.J. Ramsey-Musolf S. Su, Phys.Rept.456188,
  2008, e-Print hep-ph/0612057Model
• Low energy tests of the weak interaction, J.
  Erler M. J. Ramsey-Musolf , Prog.Part.Nucl.Phys.
  54351 442, 2005, e-Print hep-ph/0404291

Plus many references therein
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Motivation

• Why New Symmetries ?
• Why Low Energy Probes ?

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Fundamental Symmetries Cosmic History
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Fundamental Symmetries Cosmic History
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Fundamental Symmetries Cosmic History
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Fundamental Symmetries Cosmic History
Puzzles the Standard Model cant solve

1. Origin of matter
2. Unification gravity
3. Weak scale stability
4. Neutrinos

What are the symmetries (forces) of the early
universe beyond those of the SM?
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Fundamental Symmetries Cosmic History
Baryogenesis When? CPV? SUSY? Neutrinos?
WIMPy D.M. Related to baryogenesis?
New gravity? Lorentz violation? Grav baryogen ?
?
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Fundamental Symmetries Cosmic History
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Fundamental Symmetries Cosmic History
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Fundamental Symmetries Cosmic History
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There must have been additional symmetries in the
earlier Universe to

• Unify all matter, space, time
• Stabilize the weak scale
• Produce all the matter that exists
• Account for neutrino properties

• Give self-consistent quantum gravity

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What are the new fundamental symmetries?
Two frontiers in the search
Collider experiments (pp, ee-, etc) at higher
energies (E gtgt MZ)
Indirect searches at lower energies (E lt MZ) but
high precision
Particle, nuclear atomic physics
High energy physics
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Precision Probes of New Symmetries
New Symmetries

1. Origin of Matter
2. Unification gravity
3. Weak scale stability
4. Neutrinos

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Precision Energy Frontiers
J. Ellison, UCI
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Precision, low energy measurements can probe for
new symmetries in the desert
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II. Illustrative Case SUSY

• Why Supersymmetry ?
• Key Features of SUSY

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Couplings unify with SUSY
Supersymmetry
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GF is Too Large
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SUSY protects GF
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GF the hierarchy problem
SUSY Relation
Quadratic divergence ?UV2 cancels
After EWSB
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SUSY may help explain observed abundance of matter
Cold Dark Matter Candidate
Baryonic matter electroweak phase transition
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SUSY a candidate symmetry of the early Universe

• Unify all forces
• Protect GF from shrinking
• Produce all the matter that exists

3 of 4 Yes Maybe so
Maybe Probably necessary

• Account for neutrino properties
• Give self-consistent quantum gravity

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Minimal Supersymmetric Standard Model (MSSM)
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SUSY and R Parity
Consequences
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R-Parity Violation (RPV)
?L1
WRPV ?ijk LiLjEk ??ijk LiQjDk ?/i LiHu
???ijkUiDjDk
?B1
proton decay Set ???ijk 0
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Four-fermion Operators
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SUSY must be a broken symmetry
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MSSM SUSY Breaking
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MSSM SUSY Breaking Models I
Gravity-Mediated (mSUGRA)
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MSSM SUSY Breaking Models II
Gauge-Mediated (GMSB)
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MSSM SUSY Breaking Models III
Parameter evolution mass
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Gaugino-Higgsino Mixing
Chargino Mass Matrix
Neutralino Mass Matrix
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Relic Abundance of SUSY DM
Neutralino Mass Matrix
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Sfermion Mixing
Sfermion mass matrix
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Test
100 new parameters 40 new CPV phases Flavor
mixing parameters
No new coupling constants
Two Higgs vevs
Supersymmetric Higgs mass, ?
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Neutral Current Interactions II
Neutral current lf --gt lf at one loop
Normalization
Vector axial vector couplings
Weak mixing
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