Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-09-17
Acta Phys.Polon. B29 (1998) 629-650
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, TeX, no special macros needed
Scientific paper
An ansatz for mass matrix was recently proposed for charged leptons, predicting (in its diagonal approximation) $m_\tau\simeq1776.80$ MeV from the experimental values of $m_e$ and $m_\mu$, in agreement with $m_\tau^{exp}= 1777.00^{+0.30}_{-0.27}$ MeV. Now it is applied to neutrinos. If the amplitude of neutrino oscillations $\nu_\mu\to\nu_\tau$ is $\sim 1/2$ and $|m^2_{\nu_\tau}-m^2_{\nu_\mu}|\sim(0.0003 to 0.01) eV^2$, as seems to follow from atmospheric-neutrino experiments, this ansatz predicts $m_{\nu_e}\ll m_{\nu_\mu}\sim(0.2 to 1)\times 10^{-2} $ eV and $m_{\nu_\tau}\sim(0.2 to 1)\times 10^{-1} eV$, and also the amplitude of neutrino oscillations $\nu_e \to \nu_\mu \sim 2^{+4}_{-2}\times 10^{-4}$ (in the vacuum). Such a very small amplitude for $\nu_e \to \nu_\mu $ is implied by the value of $ m_\tau^{exp} - 1776.80 $ MeV used to determine the deviation of the diagonalizing matrix $\hat{U}^{(e)}$ from $\hat{1}$ in the lepton Cabibbo-Kobayashi- Maskawa matrix $\hat{V} = \hat{U}^{(\nu) \dagger}\hat{U}^{(e)}$. Here, $\hat{U}^{(\nu)}$ by itself gives practically no oscillations $\nu_e \to\nu_\mu$, while it provides the large oscillations $\nu_\mu \to\nu_\tau$.
No associations
LandOfFree
Texture dynamics for neutrinos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Texture dynamics for neutrinos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Texture dynamics for neutrinos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-493325