the indicated confidence level. In the case of the LMA solution, the range of values of $\Delta m^2_{\odot}$ found in [@SNO2] at 99.73% C.L. reads: $${\rm LMA~MSW}:~~~~~~2.2\times 10^{-5}~{\rm eV^2} 
\ltap \Delta m^2_{\odot} 
\ltap 2.0\times 10^{-4}~{\rm eV^2}~~~~~(99.73\%~{\rm C.L.}).
\label{dmsolLMA}$$ The best fit value of $\Delta m^2_{\odot}$ obtained in [@SNO2] is $(\Delta m^2_{\odot})_{\mathrm{BF}} = 5.0\times 10^{-5}~{\rm eV^2}$. The mixing angle $\theta_{\odot}$ was found in the case of the LMA solution to lie in an interval which at 99.73% C.L. is given by [@SNO2] $${\rm LMA~~MSW}:~~~~~~~~~~~~~~~~~
0.26 \ltap \cos2\theta_{\odot} \ltap 0.64~~~~~~~(99.73\%~{\rm C.L.}).~~~~~~~~~
\label{thLMA}$$ The best fit value of $\cos2\theta_{\odot}$ in the LMA solution region is given by $(\cos2\theta_{\odot})_{\mathrm{BF}} = 0.50$.

Similar results have been obtained, e.g., in [@BargerSNO2; @FogliSNO2]; in particular, the minimal allowed values of $\cos 2\theta_{\odot}$ in the LMA solution region found in [@SNO2] and in [@BargerSNO2] at 99.73% C.L. practically coincide. The minimal allowed value of $\cos 2\theta_{\odot}$ obtained in [@FogliSNO2] at 99.73% C.L. is 0.10. The best fit values of $\cos 2\theta_{\odot}$ found in [@SNO2; @BargerSNO2; @FogliSNO2] coincide, while that of obtained in [@FogliSNO2], $({\mbox{$ \Delta  m^2_{\odot}$}})_{\mathrm{BF}} 
\cong 5.5\times 10^{-5}~{\rm eV^2}$ is only slightly larger than the value found in [@SNO2; @BargerSNO2].

In the two-neutrino $\nu_{\mu} \rightarrow \nu_{\tau}$ ($\bar{\nu}_{\mu} 