Family Asymmetry and Neutrino Matrix (CPの破れと物質生成)
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概要
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Seesaw model is an attractive model as leptogenesis model which may explain neutrino mass. There are many CP violating phases which are not thoroughly studied. In the leptogenesis scenario, the total lepton number is given by a sum of a family number. L=L_e+L_μ+L_τ. The family asymmetries L_<e,μ, τ> can vary by changing CP phases and depend on the form of the Dirac matrix and Majorana mass of the model. In this work, the relation between the low energy CP violation and the family asymmetries is studied. ・We develop the method with which one can obtain MNS matrix, Δ〜Jarlskog invariant, and the light neutrino mass eigenvalues, for a given set of heavy Majorana masses and m_D. With the formulae, one can study the relation of CP violation of low energy and leptogenesis (family asymmetries) in general. Also one can impose the constraints from the lepton mixings and neutrino mass squared differences of experiments. ・As an example which shows strong correlation bet. low energy CP violation and leptogenesis, one can find a scenario "one family dominant leptogenesis" (e.g., L=L_τ). We identify the two zero textures which leads to one family dominant leptogenesis scenarios. ・As an example which shows there is no correlation, we find the case that that even if all the lepton asymmetries are zero i.e., L=L_e=_μ=L_τ=0, the low energy CP violation of neutrino oscillation Δ can be non-zero. We identify the texture which has such property and study the unitarity triangle of the leptonic matrix for this case.
- 素粒子論グループ 素粒子研究編集部の論文
- 2005-08-20
著者
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