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Flavor Physics from R-parity Violation Eung Jin Chun Korea Institute for Advanced Study ICFP2005, NCU, Chung-li, Oct.3-8
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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 antisymmetric L & B conserving superpotential L or B violating superpotential 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 String origin of discrete symmetries: anomaly-free condition selects out two possibilities Z 2 R-parity & Z 3 B-parity Conserves only L 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 ! puzzle Oh’s talk B ! 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 :, ’ > 10 -3 Sparticle pair production and decay :, ’ < 10 -3
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Kamon’s talk at SUSY05
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Kamon’s 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 Neutrino-gaugino mixing Neutrino-Higgsino mixing 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 Scalar lepton-Higgs mixing by scalar bilinears One-loop with, e.g., sneutrino-neutralino exchange Loop Mass from Bilinears 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 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
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mSUGRA models General behavior of arbitrary points for neutrino m 2 ratio
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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
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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.
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