Implications of the $ν_μ\to ν_s$ solution to the atmospheric neutrino anomaly for early Universe cosmology

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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some references added and expanded discussion

Scientific paper

10.1016/S0927-6505(98)00051-6

By numerically solving the quantum kinetic equations we compute the range of parameters where the $\nu_\mu \to \nu_s$ oscillation solution to the atmospheric neutrino anomaly is consistent with a stringent big bang nucleosynthesis (BBN) bound of $N_{eff}^{BBN} \stackrel{<}{\sim} 3.6$. We show that this requires tau neutrino masses in the range $m_{\nu_\tau} \stackrel {>}{\sim} 4 eV$ (for $|\delta m^2_{atm}| = 10^{-2.5} eV^2$). We discuss the implications of this scenario for hot+cold dark matter, BBN, and the anisotropy of the cosmic microwave background.

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