The impact of hierarchy upon the values of neutrino mixing parameters
Physical Review C
A neutrino-oscillation analysis is performed of the more finely binned Super-Kamiokande (Super-K) atmospheric, MINOS, and CHOOZ data to examine the effect of neutrino hierarchy in this data set on the value of ?13 and the deviation of ?23 from maximal mixing. Exact oscillation probabilities are used, thus incorporating all powers of ?13 and ?:=?23??/4. The extracted oscillation parameters are found to be dependent on the hierarchy, particularly for ?13. We find, at a 90% confidence level, that these parameters are ?32=2.44+0.26?0.20 and 2.48+0.25?0.22×10?3 eV2, ?=?23??/4=0.06+0.06?0.16 and 0.06+0.08?0.17, and ?13=?0.07+0.18?0.11 and ?0.13+0.23?0.16, for the normal and inverted hierarchies, respectively. The inverted hierarchy is preferred at a statistically insignificant level of 0.3?.
Escamilla-Roa, J, D.J Ernst, and D.C Latimer. "Impact of Hierarchy Upon the Values of Neutrino Mixing Parameters." Physical Review C - Nuclear Physics. 82.2 (2010). Print.