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Flavor Physics from R-parity Violation
Eung Jin ChunKorea Institute for Advanced Study
ICFP2005, NCU, Chung-li, Oct.3-8
Flavor physics from RpV
• The MSSM with R-parity violation• Experimental limits/future signals (?)• Collider searches• Neutrino masses and mixing• Conclusions
The MSSM with R-parity violation
Supersymmetric Standard Model SU(3)xSU(2)xU(1) gauge invariance allows L & B violation
antisymmetric
L & B conserving superpotential
L or B violating superpotential
3 + 6 + 9 + 6 = 18 + 6 parameters
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
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
• String origin of discrete symmetries: anomaly-free condition selects out two possibilities Z2 R-parity & Z3 B-parity
Conserves only L
Ibanez-Ross
Experimental Limits• B-violation
Experimental Limits• L-violation
Experimental Limits• L-violation
Experimental Limits• L-violation
Manifestation in B/K physics?• K !
Deshpande, et.al., 04
• B ! puzzle
Oh’s talk
• B ! puzzle
Yang, et.al., 05
Manifestation in B/K physics?• Wrong-sign K
EJC-Lee, 02
In SM,
Summary of limits
Single bound
Product bound
Collider Searches
Single sparticle production and decay : , ’ > 10-3
Sparticle pair production and decay : , ’ < 10-3
Kamon’s talk at SUSY05
Kamon’s talk at SUSY05
Kamon’s talk at SUSY05
Collider Searches: Bilinear RpV
Neutrino-neutralino / lepton-chargino mixing
Same-sign di-leptons
Neutrino mass matrix from RpV
• Neutrino-Neutralino mass matrix (7x7)Tree Mass from neutrino-neutralino mixing
One-loop
Neutrino-gaugino mixing
Neutrino-Higgsino mixing
Hepmfling, Romao et.al., Kong et.al, …….
Neutrino mass matrix from RpV
Tree Mass via weak scale seesaw
Hierarchical neutrino mass
Neutrino mass matrix from RpV
• Scalar lepton-Higgs mixing by scalar bilinears
• One-loop with, e.g., sneutrino-neutralino exchange
Loop Mass from Bilinears
Vanishes with universality
Neutrino mass matrix from RpV
• One-loop with sbottom/stau exchange
Loop Mass from Trilinears & Yukawas
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 measur
e the neutrino mixing angles
Universal SUSY breaking
GMSB or mSUGRA• Universal soft mass at
high scale• Bilinear model cannot
explain bilarge mixing• Consider 5 trilinear co
uplings • Tree mass through RG
E
mSUGRA models
• 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
Jung-Kang-Park-EJC,04
mSUGRA models
General behavior of arbitrary points for neutrino m2 ratio
mSUGRA models
Fitting the masses and Chooz angle
Fitting two large angles
Ranges of allowed RpV parameters
Measure from LSP decay gap
Check the ratios from LFV decay
mSUGRA modelsCollider signatures: neutralino LSP
mSUGRA models
Collider signatures: neutralino LSP
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 m
ass matrix requiring small couplings.• By observing the LSP decays at colliders, RpV
neutrino model can be tested.
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