Robustness of Neutrino Mass Matrix Predictions

Abstract

We investigate the stability of neutrino mass matrix predictions on important and currently unknown observables. Those are the octant of ${\theta }_{23}$, the sign of $\sin \delta$ and the neutrino mass ordering. Determining those unknowns is expected to be useful in order to distinguish neutrino mass models. Therefore it may be interesting to know how robust the predictions of a mass matrix for the octant of ${\theta }_{23}$ or the neutrino mass ordering are. By applying general multiplicative perturbations we explicitly quantify how probable it is that a perturbed mass matrix predicts an octant of ${\theta }_{23}$ different from the original mass matrix, or even a neutrino mass ordering different from the original one. Both the general case and an explicit flavor symmetry model are studied. We give the probabilities as a function of the smallest neutrino mass, showing that for values exceeding 0.1 eV the chance to switch the prediction quickly approaches $50\%$.

8 pages,10 figures, published by NPB

References in corpus (4)

• Big-Bang Nucleosynthesis
• Status of three-neutrino oscillation parameters, circa 2013
• Possible Alternatives to Tri-bimaximal Mixing
• Neutrino Mass Sum-rules in Flavor Symmetry Models

Cited by in corpus (5)

• Trimaximal $\mu$-$\tau$ reflection symmetry
• Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions
• Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the hidden sector
• Neutrino Parameters from Reactor and Accelerator Neutrino Experiments
• Lepton mixing patterns from combinations of elementary correlations