Naturally large cosmological neutrino asymmetries in the minimal supersymmetric standard model

A large neutrino asymmetry could have significant observable consequences for nucleosynthesis and the cosmic microwave background. If the baryon asymmetry originates via the Affleck-Dine mechanism along a d = 4 flat direction of the scalar potential in the minimal supersymmetric standard model and if the lepton asymmetry originates via Affleck-Dine leptogenesis along a d = 6 direction, corresponding to the lowest dimension directions conserving R parity, then the ratio n(L)/n(B) is naturally in the range 10(8)-10(9). As a result, a potentially observable neutrino asymmetry is correlated with a baryon asymmetry of the order of 10(-10).