Mathematics – Logic
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.4720b&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 12, 15 June 1992, pp.4720-4723
Mathematics
Logic
25
Particle-Theory And Field-Theory Models Of The Early Universe, Quark And Lepton Masses And Mixing, Supernovae
Scientific paper
The best upper bounds on the masses of stable and unstable light neutrinos derive from the upper bound on the total mass density, as inferred from the lower limit t0>13 Gyr on the dynamical age of the Universe: If the Universe is matter dominated, mν<35 (23)×max[1,(t0/τν)1/2] eV, accordingly as a cosmological constant is (is not) allowed. The best bounds on the radiative decay of light neutrinos derive from the failure to observe prompt γ rays accompanying the neutrinos from supernova 1987A: For any mν>630 eV, this provides a stronger bound on the neutrino transition moment than that obtained from red giants or white dwarfs. Our results improve on earlier cosmological and radiative decay constraints by an overall factor 20 and allow neutrinos more massive than 35 eV only if they decay overwhelmingly into singlet Majorons or other new particles with a lifetime less than one month. We review the 17-keV neutrino situation in order to stress that (1) its existence may be resolved by modest improvements in neutrino oscillation probabilities, and (2) double β decay and nucleosynthesis constraints require that its massive partner be an active neutrino, but allow solar neutrinos to oscillate into low-mass sterile neutrinos.
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