Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-12-15
Astropart.Phys.6:169-186,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, 6 eps-figures, uses epsf.sty
Scientific paper
10.1016/S0927-6505(96)00052-7
We compute the nucleosynthesis bounds on the masses of stable Dirac and Majorana neutrinos by solving an evolution equation network comprising of all neutrino species which in the Dirac case includes different helicity states as separate species. We will not commit ourselves to any particular value of the nucleosynthesis bound on effective number of light neutrino degrees of freedom $N_\nu$, but present all our mass bounds as {\em functions} of $\dNu$. For example, we find that the excluded region in the mass of a Majorana $\mu$- or $\tau$- neutrino, $0.31$ MeV $< m_{\nu}^M < 52$ MeV corresponding to a bound $\dNu < 0.3$ gets relaxed to $0.93$ MeV $< m_{\nu}^M < 31$ MeV if $\dNu < 1.0$ is used instead. For the Dirac neutrinos this latter constraint gives the upper limits (for $T_{\rm QCD} = 100$ MeV): $\mnm < 0.31$ MeV and $\mnt < 0.37$ MeV. Also, the constraint $\dNu <1$ {\it allows} a stable Dirac neutrino with $m^D_{\nu_\tau} > 22$ MeV.
Fields Brian D.
Kainulainen Kimmo
Olive Keith A.
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