Abstract

We discuss the production of sterile neutrinos in the early universe using general quantum kinetic equations, which also incorporate a possible primordial magnetic field B. We find a new contribution to the production probability, which has its origin in the shrinkage of the spin vector. In the absence of B, nucleosynthesis implies the constraint |Δm 2| sin 2 2θ 0 $ ̌ 1.6 × 10 −6 eV 2 . We also present examples of possible stringent limits for B ≠ 0.

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