Abstract

By numerically solving the quantum kinetic equations we compute the range of parameters where the ν μ → ν s oscillation solution to the atmospheric neutrino anomaly is consistent with a stringent big bang nucleosynthesis (BBN) bound of N eff BBN ≲ 3.6. We show that this requires tau neutrino masses in the range m ν τ ≳ 4 eV (for | δm atm 2| = 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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