Implications of the ${\nu }_{\mu }\to {\nu }_s$ solution to the atmospheric neutrino anomaly for early Universe cosmology

Abstract

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 $m_{{\nu }_{\tau }}\stackrel{>}{\sim }4eV$ (for $|\delta m_{atm}^2|=10^{-2.5}e{V}^2$). We discuss the implications of this scenario for hot+cold dark matter, BBN, and the anisotropy of the cosmic microwave background.

arXiv commentsome references added and expanded discussion

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