Neutrinos and New PhysicsNo Access

GEOMETRIC MEAN NEUTRINO MASS RELATION

XIAO-GANG HE

Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, Taiwan

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and

A. ZEE

Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA

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https://doi.org/10.1142/S0217732307025352Cited by:2 (Source: Crossref)

Abstract

Present experimental data from neutrino oscillations have provided much information about the neutrino mixing angles. Since neutrino oscillations only determine the mass squared differences , the absolute values for neutrino masses m_i, can not be determined using data just from oscillations. In this work we study implications on neutrino masses from a geometric mean mass relation which enables one to determined the absolute masses of the neutrinos. We find that the central values of the three neutrino masses and their 2σ errors to be m₁ = (1.58 ± 0.18)meV, m₂ = (9.04 ± 0.42)meV, and m₃ = (51.8 ± 3.5)meV. Implications for cosmological observation, beta decay and neutrinoless double beta decays are discussed.

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GEOMETRIC MEAN NEUTRINO MASS RELATION

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