Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-05-18
Phys.Rev. D61 (2000) 053002
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, UMD-PP-99-109; new references added; no other change
Scientific paper
10.1103/PhysRevD.61.053002
If Nature has chosen the vacuum oscillation solution to the Solar neutrino puzzle, a key theoretical challenge is to understand the extreme smallness of the $\Delta m^2_{\nu_e-\nu_X}$ ($\sim 10^{-10} eV^2$) required for the purpose. We find that in a class of models such as [SU(3)]^3 or its parent group E_6, which contain one sterile neutrino, $\nu_{is}$ for each family, the $\Delta m^2_{\nu_i-\nu_{is}}$ is proportional to the cube of the lepton Yukawa coupling. Therefore fitting the atmospheric neutrino data then predicts the $\nu_e-\nu_{es}$ mass difference square to be $\sim (\frac{m_e}{m_{\mu}})^3 \Delta m^2_{atmos}$, where the atmospheric neutrino data is assumed to be solved via the $\nu_{\mu}-\nu_{\mu s}$ oscillation. This provides a natural explanation of the vacuum oscillation solution to the solar neutrino problem.
Chacko Zackaria
Mohapatra Rabindra N.
No associations
LandOfFree
Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle 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 Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-39497