Anarchy, Neutrinoless double beta decay and Leptogenesis Xiaochuan Lu and Hitoshi Murayama NuFact 2013, Aug 22nd UC Berkeley

2 Anarchy approach applied to neutrino physics Outline What is Anarchy Approach Neutrinoless double beta decay Leptogenesis

A method to study the parameter space What is Anarchy Approach? 3 Dimensional analysis Symmetries Cuts the next-layer model ? explainpredict knownunknown Monarchy Anarchy

relax constrain Anarchy is a kind of Statistics How to understand anarchy 4 Anarchical model explainpredict check consistency distribution correlation expectation

5 Seesaw Mechanism, 3 generations Neutrino Anarchy: model normalinverted Masses Mixings

known unknown CP phase Sign of (mass hierarchy) Neutrino mass scale Other physical phases, Neutrinoless double beta decay Leptogenesis distribution (measure) Neutrino Anarchy: parameters 6

A tempting choice: Entry Independence What measure to choose? A second thought: Basis Independence generated independently Each free entryis No distinction among three generations 7

Basis Independence Haar measure 8 Factorize Haar measure invariant Parameterization

9 completely consistent Distribution of mixing angles

10 Distribution of phases uniform distribution

11 Entry Independence Parameterization Basis Independence independent Haar measure Entry Independence Each free entry Gaussian measure

12 Mass splits and mass hierarchy The Cuts Normal Hierarchy Scenario without cut 95.9% with cut 99.9% completely consistent

Neutrinoless double beta decay lepton number violation light-neutrino mass matrix is Majorana Anarchy prediction: 13

14 experimentally challenging without cuts with cuts Neutrinoless double beta decay

15 Leptogenesis Baryon asymmetry today CP violationcomplex

light-neutrino parameters leptogenesis 16 Correlation? light-neutrino masses and mixings favor leptogenesis Apply the Cuts Correlations

17 Correlations has no correlation with light-neutrino mixings has no correlations with or could have correlations with and thus

18 scatter plots: Correlations has a weak negative correlation with and

CP phase and, uniform, maximal CP violation Sign of 99.9% normal hierarchy Completely Consistent Summary very challenging to experimental sensitivity on the correct order of magnitude weak negative correlations with and no correlations with or 19

20 Thank you!