Flavor Physics from Rparity Violation

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Flavor Physics from R-parity Violation
ICFP2005, NCU, Chung-li, Oct.3-8

• Eung Jin Chun
• Korea Institute for Advanced Study

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Flavor physics from RpV

• The MSSM with R-parity violation
• Experimental limits/future signals (?)
• Collider searches
• Neutrino masses and mixing
• Conclusions

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The MSSM with R-parity violation

• Supersymmetric Standard Model
• SU(3)xSU(2)xU(1) gauge invariance
  allows L B violation

L B conserving superpotential
L or B violating superpotential
antisymmetric
3 6 9 6 18 6 parameters
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The MSSM with R-parity violation

• L B violation leads to proton decay
• R-parity -1 for supersymmetric particles
• 1 for SM particles
• Lightest Supersymmetric Particle
• stable and a good dark matter
  candidate

Conserves L B
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The MSSM with R-parity violation

• B-parity -1 for quark superfields
• 1 for others
• LSP destabilized by L violation

Conserves only B

• L-parity -1 for lepton superfields
• 1 for others
• LSP destabilized by B violation

Conserves only L

• String origin of discrete symmetries
• anomaly-free condition selects out two
  possibilities
• Z2 R-parity Z3 B-parity

Ibanez-Ross
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Experimental Limits

• B-violation

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Experimental Limits

• L-violation

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Experimental Limits

• L-violation

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Experimental Limits

• L-violation

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Manifestation in B/K physics?

• K ! ? ? ?

Deshpande, et.al., 04

• B ! ? K puzzle

Ohs talk

• B ! ? p puzzle

Yang, et.al., 05
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Manifestation in B/K physics?

• Wrong-sign K

EJC-Lee, 02
In SM,
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Summary of limits

• Single bound

Product bound
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Collider Searches
Single sparticle production and decay ?, ? gt
10-3
Sparticle pair production and decay ?, ? lt 10-3
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Kamons talk at SUSY05
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Kamons talk at SUSY05
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Kamons talk at SUSY05
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Collider Searches Bilinear RpV

• Neutrino-neutralino / lepton-chargino mixing

Same-sign di-leptons
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Neutrino mass matrix from RpV

• Neutrino-Neutralino mass matrix (7x7)

Tree Mass from neutrino-neutralino mixing
One-loop
Hepmfling, Romao et.al., Kong et.al, .
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Neutrino mass matrix from RpV
Tree Mass via weak scale seesaw

Hierarchical neutrino mass
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Neutrino mass matrix from RpV
Loop Mass from Bilinears

• Scalar lepton-Higgs mixing by scalar bilinears
• One-loop with, e.g.,
• sneutrino-neutralino
• exchange

Vanishes with universality
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Neutrino mass matrix from RpV

• One-loop with
• sbottom/stau
• exchange

Loop Mass from Trilinears Yukawas
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Non-universal SUSY breaking

• Bilinear model
• with 9 parameters
• Free to fit
• neutrino mass matrix
• Tree for Atm.
• Loop for Sol.
• Test in colliders
• LFV decays of LSP measure the neutrino mixing
  angles

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Universal SUSY breaking

• GMSB or mSUGRA
• Universal soft mass at high scale
• Bilinear model cannot explain bilarge mixing
• Consider 5 trilinear couplings
• Tree mass through RGE

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mSUGRA models
Jung-Kang-Park-EJC,04

• Loop-to-tree mass ratio is too small due to large
  RGE effect
• Need some tuning to get a mild hierarchy of
  neutrino mass
• Easy to arrange two large one small mixing
  angles

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mSUGRA models
General behavior of arbitrary points for neutrino
?m2 ratio
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mSUGRA models
Ranges of allowed RpV parameters
Fitting the masses and Chooz angle
Measure from LSP decay gap
Fitting two large angles
Check the ratios from LFV decay
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mSUGRA models
Collider signatures neutralino LSP
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mSUGRA models
Collider signatures neutralino LSP
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Conclusions

• B or L violation may exist with SUSY.
• It leads to rich flavor structure only limits at
  present.
• Still, large RpV is not excluded and thus may
  manifest in B/K or collider expts.
• Most exciting is the generation of neutrino mass
  matrix requiring small couplings.
• By observing the LSP decays at colliders, RpV
  neutrino model can be tested.