Massive neutrinos, helium production and the primordial magnetic field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Big Bang Cosmology, Helium, Magnetic Fields, Neutrinos, Abundance, Astronomical Models, Inequalities, Particle Mass

Scientific paper

The effects of a nonzero neutrino rest mass of approximately 10 eV on the strength of the primordial magnetic field are considered. It is shown that, as far as neutrino-fermion weak interactions are concerned, the extension of the standard Weinberg-Salam-Glashow model to include massive neutrinos does not violate the observational constraint of a He-4 abundance less than approximately 0.25. It is further shown that the existence of a neutrino magnetic moment within the constraint of a number of thermal neutrino types less than or equal to four (imposed by the observed helium abundance) leads to the requirement that the rate of helicity flips by extremely relativistic neutrinos in the earthly universe be less than the rate of neutrino-fermion interactions which thermalize left-handed neutrinos. Such a requirement then places an upper limit of 4 x 10 to the 9th G/eV neutrino mass on an ordered primordial magnetic field, which is the most stringent limit proposed to date.

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