Spontaneously broken lepton number and cosmological constraints on the neutrino mass spectrum

Mathematics – Logic

Scientific paper

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105

Cosmology, Energetic Particles, Leptons, Mass Spectra, Neutrinos, Bosons, Particle Mass, Weak Energy Interactions

Scientific paper

The cosmological constraints on neutrino masses can be altered if lepton number is broken globally giving rise to a very weakly coupled Goldstone boson - the majoron. Then heavy neutrinos can decay sufficiently rapidly by majoron emission, thereby giving negligible contributions to the mass density of the universe. Specifically, if M is the mass scale associated with lepton number breakdown, for M less than approximately 10 to the 6th GeV there are no constraints on neutrino masses while for M high enough (M greater than approximately 10 to the 9th to 10 to the 10th GeV) the standard bounds remain.

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