Phys. Rev. Lett. 83, 2514–2517 (1999)Simple Connection Between Atmospheric and Solar Neutrino Vacuum OscillationsReceived 18 February 1999; published in the issue dated 27 September 1999 Extending the minimal standard model of particle interactions (without right-handed singlet neutrinos) to include a heavy scalar triplet ξ to obtain nonzero Majorana neutrino masses, I derive the following simple realistic connection between atmospheric and solar neutrino vacuum oscillations: (Δm2)sol(Δm2)atm/mν4(sin22θ)atm = 2I2, where mν is the assumed common approximate mass of each neutrino (which may be suitable for hot dark matter) and I = (3/16π2)(GF/√2)mτ2ln(mξ2/mW2) comes from the radiative splitting of the degeneracy due to the charged leptons. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.2514
DOI:
10.1103/PhysRevLett.83.2514
PACS:
14.60.Pq, 26.65.+t, 96.40.Tv
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