Statistical analysis of solar neutrino data

Statistical Analysis of Solar Neutrino Data

We calculate with Monte Carlo the goodness of fit and the confidence level of the standard allowed regions for the neutrino oscillation parameters obtained from the fit of the total rates measured in solar neutrino experiments. We show that they are significantly overestimated in the standard method. We also calculate exact allowed regions with correct frequentist coverage. We show that the exa...

1 Statistical Analysis of Solar Neutrino Data

Treating solar model uncertainties: A consistent statistical analysis of solar neutrino models and data.

We describe how to consistently incorporate solar model uncertainties, along with experimental errors and correlations, when analyzing solar neutrino data to derive confidence limits on parameter space for proposed solutions of the solar neutrino problem. Our work resolves ambiguities and inconsistencies in the previous literature. As an application of our methods we calculate the masses and mi...

Global Analysis of Solar Neutrino Data

The data from all solar neutrino experiments presented at the Neutrino 98 conference has been analyzed and a brief summary of the status of the two most popular neutrino solutions of the solar neutrino problem, the MSW mechanism and vacuum oscillations, is presented here. The inclusion of the recoil-electron data and of the zenith angle distribution of events in the SuperKamiokande detector, to...

A frequentist analysis of solar neutrino data

We present a Monte Carlo analysis in terms of neutrino oscillations of the total rates measured in solar neutrino experiments in the framework of frequentist statistics. We show that the goodness of fit and the confidence level of the allowed regions in the space of the neutrino oscillation parameters are significantly overestimated in the standard method. We also present a calculation of exact...