The small mixing angle $θ_{13}$ and the lepton asymmetry

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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17 pages, 14 figures, information for figures added, version published in PRD

Scientific paper

10.1103/PhysRevD.71.096006

We present the correlation of low energy CP phases, both Dirac and Majorana, and the lepton asymmetry for the baryon asymmetry in the universe, with a certain class of Yukawa matrices that consist of two right-handed neutrinos and include one texture zero in themselves. For cases in which the amount of the lepton asymmetry $Y_L$ turns out to be proportional to $\theta_{13}^2$, we consider the relation between two types of CP phases and the relation of $Y_L$ versus the Jarlskog invariant or the amplitude of neutrinoless double beta decay as $\theta_{13}$ varies.

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