  We systematically analyze the radiative corrections to the $S_3$ symmetric
neutrino mass matrix at high energy scale, say the GUT scale, in the charged
lepton basis. There are significant corrections to the neutrino parameters both
in the Standard Model (SM) and Minimal Supersymmetric Standard Model (MSSM)
with large tan$\beta$, when the renormalization group evolution (RGE) and
seesaw threshold effects are taken into consideration. We find that in the SM
all three mixing angles and atmospheric mass squared difference are
simultaneously obtained in their current 3$\sigma$ ranges at the electroweak
scale. However, the solar mass squared difference is found to be larger than
its allowed 3$\sigma$ range at the low scale in this case. There are
significant contributions to neutrino masses and mixing angles in the MSSM with
large tan$\beta$ from the RGEs even in the absence of seesaw threshold
corrections. However, we find that the mass squared differences and the mixing
angles are obtained in their current 3$\sigma$ ranges at low energy when the
seesaw threshold effects are also taken into account in the MSSM with large
tan$\beta$.
