Global oscillation analysis of solar neutrino data with helioseismically constrained fluxes

Abstract

A seismic model for the Sun calculated using the accurate helioseismic data predicts a lower ${}^{8}\mathrm{B}$ neutrino flux as compared to the standard solar model (SSM). However, there persists a discrepancy between the predicted and measured neutrino fluxes and it seems necessary to invoke neutrino oscillations to explain the measurements. In this work, we have performed a global, unified oscillation analysis of the latest solar neutrino data (including the results of SNO charged current rate) using the seismic model fluxes as theoretical predictions. We determine the best-fit values of the neutrino oscillation parameters and the ${\ensuremath{\chi}}_{\mathrm{min}}^{2}$ for both ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\mathrm{active}}$ and ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\mathrm{sterile}}$ cases and present the allowed parameter regions in the $\ensuremath{\Delta}{m}^{2}\ensuremath{-}{\mathrm{tan}}^{2}\ensuremath{\theta}$ plane for ${\ensuremath{\nu}}_{e}\ensuremath{-}{\ensuremath{\nu}}_{\mathrm{active}}$ transition. The results are compared with those obtained using the latest SSM by Bahcall and co-workers.