Big bang nucleosynthesis constraints on massive, unstable neutrinos.

Physics – Nuclear Physics

Scientific paper

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Nucleosynthesis: Big-Bang Theory, Neutrinos: Masses

Scientific paper

The tau-neutrino, if sufficiently massive, must be unstable. Big bang nucleosynthesis (BBN) can provide constraints on the ντ mass and lifetime. The modification to the energy density of the early universe in the case of a massive τ-neutrino which decays via ντ→νμ+φ (where φ is a weakly coupled massless scalar) is described and the results of BBN production of the light elements is presented. Consistency with the primordial abundances of D, 3He, 7Li and, especially, 4He leads to constraints on the mass (mντ) and lifetime (τντ) of the tau-neutrino. Very massive ντ (mντ ≥ 5 - 10 MeV), up to the ARGUS bound of 31 MeV, are only allowed for short lifetimes (≤40 sec). Much lighter (mντ ≤ 0.01 MeV) ντ are permitted for lifetimes longer than ≡0.01 sec but, mντ(MeV) ≤ 10 τν(sec) for shorter lifetimes.

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