Global oscillation analysis of solar neutrino data with helioseismically constrained fluxes

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 ${\chi }_{\min }^2$ for both ${\nu }_e-{\nu }_{\mathrm{active}}$ and ${\nu }_e-{\nu }_{\mathrm{sterile}}$ cases and present the allowed parameter regions in the $\Delta m^2-{\tan }^2\theta$ plane for ${\nu }_e-{\nu }_{\mathrm{active}}$ transition. The results are compared with those obtained using the latest SSM by Bahcall and co-workers.