Relating leptogenesis parameters to light neutrino masses

We obtain model independent relations among neutrino masses and leptogenesis parameters. We find exact relations that involve the CP asymmetries $ε_{N_α}$, the washout parameters $\tilde m_α$ and $θ_{αβ}$, and the neutrino masses $m_i$ and $M_α$, as well as powerful inequalities that involve just $\tilde m_α$ and $m_i$. We prove that the Yukawa interactions of at least two of the heavy singlet neutrinos are in the strong washout region ($\tilde m_α\gg10^{-3} eV$).

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