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.