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Leptogenesis and CP violation of Neutrino Sectors. Takuya Morozumi Hiroshima university ICFP 2005 at ChungLi Oct.6 th. Leptogenesis / Seesaw/ CPV. (1) Leptogenesis (Fukugita, Yanagida) is a scenario which may explain Baryon number of universe through Lepton number generation.
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Leptogenesis and CP violationof Neutrino Sectors Takuya Morozumi Hiroshima university ICFP 2005 at ChungLi Oct.6th
Leptogenesis / Seesaw/ CPV (1) Leptogenesis (Fukugita, Yanagida) is a scenario which may explain Baryon number of universe through Lepton number generation. (2) In the scenario, heavy Majorana neutrinos with Mass typically heavier than 1 TeV to 10^12 GeV introduced.
Thermal History of LeptogenesisBuchmuller, Plumacher, Luty • Heavy Majorana neutrino (in seesaw) decays • CP violation • Lepton number transformed into Baryon number provided by non-conservation of B+L in SU(2) х U(1) model
CP violation of Leptogenesisand low energy CP observables • Natural question is whether CPV phase of MNS matrix related to CPV of leptogenesis.
Production Mechanism of Lepton Number Φ Φ Tree Vertex L L Φ L Self-energy
CP Mirror L Φ Tree Vertex L Self-energy Φ
Structure of 3хN matrix 3N-3 CP violating phases
e-Leptogenesis Model and ν-less double beta decay • Lepton number asymmetry from Lightest (N1) decays dominated by Electron Family L=Le
Φ Φ Le Le n n P P
CP violation of leptogenesis andneutrino oscillation • Connection is not so manifest. Neutrino oscillationL conserved processes Leptogenesis L violating processes
In seesaw , neutrino-neutrinotransition involves neutrino-antineutrinotransitions
CP violationof Neutrino oscillationin seesaw N1 N1 N2 N2 N1 N1 N2 N2
N1 N1 N2 N2 N1 N1 N2 N2
How large • In conventional seesaw The ratio is quite small or M << Mwand E is small. For n=1 eV,
Suppression of L violation andenhancement of (Q)LFV can coexist. Pilaftis Cancellation of L violating int. No cancellation for LFV
Concrete model and predictionsFujihara, Kang, Kim, Kimura, T.M. Spectrum
summary 1. If seesaw is a right theory, leptogenesis phases certainly have impact on CP violation of neutrino oscillation (δ) and neutrinoless double beta decay(α). However, non-zero (or zero CP violation)of neutrino oscillation does not imply leptogenesis phase is present (or absent). 2. Neutrinoless doble beta decay measurement does not Imply presence of CP violation. However, if we may not fit |mee| without majorana phase (α), this may be related to leptogenesis phase. 3. (Q)LFV processes (no susy effect) can be enhanced in a class of model. Direct evidence of Seesaw may be experimentally explored.