No Hope to Kinematically Detect the Effective Masses of Muon and Tau Neutrinos

Details No Hope to Kinematically Detect the Effective Masses of Muon and Tau Neutrinos No Hope to Kinematically Detect the Effective Masses of Muon and Tau Neutrinos

2003-03-21

arxiv.org/abs/hep-ph/0303178v1

High Energy Phys.Nucl.Phys. 27 (2003) 841-845

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex 9 pages (2 PS figures)

Scientific paper

We show that the recent WMAP data can impose a generous upper bound on the effective masses of electron, muon and tau neutrinos defined in the kinematic measurements: $^2_e + < m>^2_\mu + < m>^2_\tau = m^2_1 + m^2_2 + m^2_3 < 0.5 ~ {\rm eV}^2$, or $_\alpha < 0.71$ eV (for $\alpha = e, \mu, \tau$). When current neutrino oscillation data are taken into account, we obtain $_e <0.24$ eV and $_\mu \approx < m>_\tau < 0.24$ eV. Thus there is no hope to kinematically detect $_\mu$ and $_\tau$ in any realistic experiments.

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