Radiative Generation of the LMA Solution from Small Solar Neutrino Mixing at the GUT Scale

Details Radiative Generation of the LMA Solution from Small Solar Neutrino Mixing at the GUT Scale Radiative Generation of the LMA Solution from Small Solar Neutrino Mixing at the GUT Scale

2002-08-14

arxiv.org/abs/hep-ph/0208136v2

JHEP 0211 (2002) 010

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 6 figures; reference added, minor changes in the text; results unchanged; final version to appear in JHEP

Scientific paper

10.1088/1126-6708/2002/11/010

We show that in see-saw models with small or even vanishing lepton mixing angle $\theta_{12}$, maximal $\theta_{23}$, zero $\theta_{13}$ and zero CP phases at the GUT scale, the currently favored LMA solution of the solar neutrino problem can be obtained in a rather natural way by Renormalization Group effects. We find that most of the running takes place in the energy ranges above and between the see-saw scales, unless the charged lepton Yukawa couplings are large, which would correspond to a large $\tan \beta$ in the Minimal Supersymmetric Standard Model (MSSM). The Renormalization Group evolution of the solar mixing angle $\theta_{12}$ is generically larger than the evolution of $\theta_{13}$ and $\theta_{23}$. A large enhancement occurs for an inverted mass hierarchy and for a regular mass hierarchy with $|m_2 - m_1| \ll |m_2 + m_1|$. We present numerical examples of the evolution of the lepton mixing angles in the Standard Model and the MSSM, in which the current best-fit values of the LMA mixing angles are produced with vanishing solar mixing angle $\theta_{12}$ at the GUT scale.

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