Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-10-06
Phys.Rev.D83:033002,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, 2 figures. Matches published version
Scientific paper
10.1103/PhysRevD.83.033002
We give minimal values for the smallest lepton mixing parameter U_{e3}, applying 2-loop renormalization group equations in an effective theory approach. This is relevant in scenarios that predict an inverted neutrino mass spectrum with the smallest mass and U_{e3} being zero at tree level, a situation known to be preserved at 1-loop order. At 2-loop, U_{e3} is generated at a level of 10^{-12}-10^{-14}. Such small values are of interest in supernova physics. Corresponding limits for the normal mass ordering are several orders of magnitude larger. Our results show that U_{e3} can in general expected be to be non-zero.
Ray Shamayita
Rodejohann Werner
Schmidt Michael A.
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