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Title: Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations

Abstract

Extending the minimal standard model of particle interactions (without right-handed singlet neutrinos) to include a heavy scalar triplet {xi} to obtain nonzero Majorana neutrino masses, I derive the following simple realistic connection between atmospheric and solar neutrino vacuum oscillations: ({Delta}m{sup 2}){sub sol}( {Delta}m{sup 2}){sub atm}/m{sup 4}{sub {nu}}(sin 22{theta}){sub atm }=2I{sup 2} , where m{sub {nu}} is the assumed common approximate mass of each neutrino (which may be suitable for hot dark matter) and I=(3/16{pi}{sup 2})thinsp (G{sub F}/{radical}(2)thinsp )m{sup 2}{sub {tau}}ln(m{sup 2}{sub {xi}}/m{sup 2}{sub W}) comes from the radiative splitting of the degeneracy due to the charged leptons. {copyright} {ital 1999} {ital The American Physical Society}

Authors:
 [1]
  1. Department of Physics, University of California, Riverside, California 92521 (United States)
Publication Date:
OSTI Identifier:
692513
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 83; Journal Issue: 13; Other Information: PBD: Sep 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; NONLUMINOUS MATTER; NEUTRINO OSCILLATION; SOLAR NEUTRINOS; MASS; STANDARD MODEL; EARTH ATMOSPHERE

Citation Formats

Ma, E. Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations. United States: N. p., 1999. Web. doi:10.1103/PhysRevLett.83.2514.
Ma, E. Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations. United States. doi:10.1103/PhysRevLett.83.2514.
Ma, E. Wed . "Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations". United States. doi:10.1103/PhysRevLett.83.2514.
@article{osti_692513,
title = {Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations},
author = {Ma, E.},
abstractNote = {Extending the minimal standard model of particle interactions (without right-handed singlet neutrinos) to include a heavy scalar triplet {xi} to obtain nonzero Majorana neutrino masses, I derive the following simple realistic connection between atmospheric and solar neutrino vacuum oscillations: ({Delta}m{sup 2}){sub sol}( {Delta}m{sup 2}){sub atm}/m{sup 4}{sub {nu}}(sin 22{theta}){sub atm }=2I{sup 2} , where m{sub {nu}} is the assumed common approximate mass of each neutrino (which may be suitable for hot dark matter) and I=(3/16{pi}{sup 2})thinsp (G{sub F}/{radical}(2)thinsp )m{sup 2}{sub {tau}}ln(m{sup 2}{sub {xi}}/m{sup 2}{sub W}) comes from the radiative splitting of the degeneracy due to the charged leptons. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevLett.83.2514},
journal = {Physical Review Letters},
number = 13,
volume = 83,
place = {United States},
year = {1999},
month = {9}
}