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The LMA solution from bimaximal lepton mixing at the GUT scale by renormalization group running

2002/06/30 by Stefan Antusch, Jörn Kersten, Joern Kersten +3 · 3 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Eigenvalues and eigenvectors #Lepton #Mathematical physics #Mixing (physics) #Mixing patterns #Neutrino #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Renormalization #Renormalization group #Scale (ratio) #hep-ph

paper · pdf · doi:10.1016/s0370-2693(02)02470-x

published as Phys.Lett. B544 (2002) 1-10 · 14 pages, 10 figures; references and a subsection containing an example with odd CP parities added; results and conclusions unchanged

arxiv created 2002/08/07 · openalex publication_date 2002/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that in see-saw models with bimaximal lepton mixing at the GUT scale and with zero CP phases, the solar mixing angle θ12 generically evolves towards sizably smaller values due to renormalization group effects, whereas the evolution of θ13 and θ23 is comparatively small. The currently favored LMA solution of the solar neutrino problem can thus be obtained in a natural way from bimaximal mixing at the GUT scale. We present numerical examples for the evolution of the leptonic mixing angles in the Standard Model and the MSSM, in which the current best-fit values of the LMA mixing angles are produced. These include a case where the mass eigenstates corresponding to the solar mass squared difference have opposite CP parity.

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