Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-08-11
Phys.Lett. B445 (1998) 191-198
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, Latex. References to bi-maximal mixing fixed
Scientific paper
10.1016/S0370-2693(98)01442-7
We discuss neutrino masses in the framework of a minimal extension of the minimal supersymmetric standard model (MSSM) consisting of an additional single right-handed neutrino superfield $N$ with a heavy Majorana mass $M$, which induces a single light see-saw mass $m_{\nu_3}$ leaving two neutrinos massless at tree-level. This trivial extension to the MSSM may account for the atomospheric neutrino data via $\nu_{\mu}\to \nu_{\tau}$ oscillations by assuming a near maximal mixing angle $\theta_{23}\sim \pi/4$ and taking $\Delta m_{23}^2 \sim m_{\nu_3}^2 \sim 2.5\times 10^{-3} eV^2$. In order to account for the solar neutrino data we appeal to one-loop radiative corrections involving internal loops of SUSY particles, which we show can naturally generate an additional light neutrino mass $m_{\nu_{2}}\sim 10^{-5} eV$ again with near maximal mixing angle $\theta_{12}\sim \pi/4$. The resulting scheme corresponds to so-called ``bi-maximal'' neutrino mixing involving ``just-so'' solar oscillations.
Davidson Sacha
King Stephen F.
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