2002/11/25 by Anjan S. Joshipura, Saurabh D. Rindani, N. Nimai Singh
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Degenerate energy levels #Double beta decay #MAJORANA #Mass matrix #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Radiative transfer #Scale (ratio) #Solar neutrino #Solar neutrino problem #hep-ph
paper · pdf · doi:10.1016/s0550-3213(03)00236-0
published as Nucl.Phys.B660:362-372,2003 · 15 pages, including a postscript figure
arxiv created 2002/11/25 · openalex publication_date 2003/05/19 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Radiative generation of the solar scale Δ\odot is discussed in the presence of leptonic CP violation. We assume that both the solar scale and Ue3 are zero at a high scale and the weak radiative corrections generate them. It is shown that all leptonic mass matrices satisfying these requirements lead to a unique prediction Δ\odot cos 2θ\odot≈ 4 δτsin2 θA |mee|2 for the solar scale in terms of the radiative correction parameter δτ, the physical solar (atmospheric) mixing angles θodot (θA) and the Majorana neutrino mass mee probed in neutrinoless double beta decay. This relation is independent of the mixing matrix and CP-violating phases at the high scale. The presence of CP-violating phases leads to dilution in the solar mixing angle defined at the high scale. Because of this, bi-maximal mixing pattern at the high energy leads to large but non-maximal solar mixing in the low-energy theory. An illustrative model with this feature is discussed.