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Neutrino Masses and Lepton Flavor Physics. K.S. Babu Department of Physics, Oklahoma State University. PHENO 03 Madison, Wisconsin, May 5, 2003. Outline. Neutrino Oscillation Results Interpreting Data Patterns of Neutrino Mass Spectrum Neutrinoless Double Beta Decay (bb) 0n Tests
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Neutrino Masses and Lepton Flavor Physics K.S. Babu Department of Physics, Oklahoma State University PHENO 03 Madison, Wisconsin, May 5, 2003
Outline Neutrino Oscillation Results Interpreting Data • Patterns of Neutrino Mass Spectrum • Neutrinoless Double Beta Decay (bb)0n Tests Theoretical Modeling • Large Neutrino Mixing • Unified Quark-Lepton Description Lepton Flavor Violation • Rare Decays t→mg, m→eg • Lepton Dipole Moments Conclusions
Solar Neutrino Oscillations Gonzalez-Garcia et al. (2003)
Atmosphere Neutrino Oscillations Maltoni, et al. hep-ph/0207227
LSND Aguilar, et. al hep-exp/0104049
Neutrino Mixing versus Quark Mixing Leptons Quarks Disparity a challenge for Quark-Lepton unified theories.
(meV) Pascoli, Petcov, Rodejohann, hep-ph/0212113
Neutrino Masses and the Scale of New Physics Very Close to the GUT scale.
Large Neutrino Mixing with Lopsided Mass Matrices Quark and Lepton Mass hierarchy: This motivates: KSB and S. Barr, 1995
Example of Lopsided Mass Matrices Gogoladze, Wang, KSB, 2003 Discrete ZN Gauge Symmetry
Lopsided Mass Matrix Model in SO(10) S.Barr and KSB,2002 PREDICTIONS 10 Parameters vs. 20 Observables
FIT Buras, et al Georgi-Jarlskog
Neutrino Mass Textures Fukugita, Tanimoto, Yanagida, 2003
A4 Symmetry and Quasi-degenerate Neutrino E. Ma, 2002 E. Ma, J. Valle, KSB, 2002 With Arbitrary Soft A4 Breaking With Complex parameters, arg(Ue3) = p/2
Electric Dipole Moments Violates CP Electron: Neutron: Phases in SUSY breaking sector contribute to EDM.
SUSY Contributions: A, B are complex in MSSM Effective SUSY Phase
If parity is realized asymptotically, EDM will arise only through non-hermiticity induced by RGE. Subject to experimental tests Dutta, Mohapatra, KB (2001)
Lepton Flavor Violation and Neutrino Mass Seesaw mechanism naturally explains small n-mass. Current neutrino-oscillation data suggests Flavor change in neutrino-sector Flavor change in charged leptons In standard model with Seesaw, leptonic flavor changing is very tiny.
In Supersymmetric Standard model For nR active flavor violation in neutrino sector Transmitted to Sleptons Borzumati, Masiero (1986) Hall, Kostelecky, Raby (1986) Hisano, et al (1995) SUSY Seesaw Mechanism If B-L is gauged, MR must arise through Yukawa couplings. Flavor violation may reside entirely in f or entirely in Yn
If flavor violation occurs only in Dirac Yukawa Yn (with mSUGRA) If flavor violation occurs only inf (Majorana LFV) LFV in the two scenarios are comparable. More detailed study is needed.
Neutrino Fit For Majorana LFV scenario, take Dutta, Mohapatra, KB 2002
For Dirac LFV scenario Same neutrino oscillation parameters as in Majorona LFV The two scenarios differ in predictions for
Dirac LFV F. Deppisch, et al, hep-ph/0206122
Majorana LFV Dutta, Mohapatra, KB (2002)
Correlation between LFV and B→fKs Hisano and Shimizu, hep-ph/0303071
LFV in SUSY SO(10) Masiero, Vempati and Vives, hep-ph/0209303
Conclusions • Neutrino Experiments pinning down oscillation parameters. • Neutrinoless double beta decay can discriminate between various mass patterns. • Large Neutrino Mixing can arise from Unified theories through lopsided mass matrices. • Lepton Flavor Violation t→mg, m→eg, and EDMs within reach of experiments.