Correlations of solar neutrino observables for SNO - art. no. 053012

Neutrino oscillation scenarios predict correlations, and zones of avoidance , among measurable quantities such as spectral energy distortions, total fl uxes, time dependences, and flavor content. The comparison of observed and predicted correlations will enhance the diagnostic power of solar neutrino experiments. A general test of all presently allowed (2 nu) oscillation sol utions is that future measurements must yield values outside the predicted zones of avoidance. To illustrate the discriminatory power of the simultane ous analysis of multiple observables, we map currently allowed regions of D eltam(2) - sin(2) 2 theta onto planes of quantities measurable with the Sud bury Neutrino Observatory (SNO). We calculate the correlations that are pre dicted by vacuum and MSW (active and sterile) neutrino oscillation solution s that are globally consistent with all available neutrino data. We derive approximate analytic expressions for the dependence of individual observabl es and specific correlations upon neutrino oscillations parameters. We also discuss the prospects for identifying the correct oscillation solution usi ng multiple SNO observables.