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Lagrangian density. Ordinary solution is only for Dirac mass. Other spinor pairs are Lorentz scalars for Majorana mass. Full solution has chiral components. Seesaw mechanism. Left-handed term zero in SO(10), etc. RH term of GUT order, Dirac term of electroweak order
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Lagrangian density • Ordinary solution is only for Dirac mass. • Other spinor pairs are Lorentz scalars for Majorana mass. • Full solution has chiral components.
Seesaw mechanism • Left-handed term zero in SO(10), etc. • RH term of GUT order, Dirac term of electroweak order • Mass states are eigenvalues • Explains why neutrinos are light
Sterile neutrinos • Right-handed neutrinos restore SM symmetry without appealing to supersymmetry. • R-process nucleosynthesis • Balantekin and Fuller, Astropart. Phys. 18, 433 (2003) • Pulsar kicks • Kusenko, Int. J. Mod. Phys. D 13, 2065 (2004) • Dark matter • Asaka, Blanchet, Shaposhnikov, Phys. Lett. B 631, 151 (2005) • Supermassive black holes • Munyaneza, Biermann, Astron and Astrophys., 436, 805 (2005) • Big Bang nucleosynthesis • Smith, Fuller, Kishimoto, Abazajian, astro-ph/0608377
Neutrino oscillation • Flavor governs interactions. • Inertia governs motion. • The MNS matrix is the transformation between eigenbases.
Oscillation parameter dispute • LSND observed an excess of events. • MiniBooNE analysis in progress, assumes CP conservation • Probability that all experiments agree as low as 4%
Prediction for LSND and MiniBooNE • Cosmological exclusion