Can the nondiagonal charged-lepton mass matrix improve the tripartite neutrino mixing?

It is shown that the off-diagonal corrections in a realistic charged-lepton mass matrix, introduced previously by the author, cannot improve much the tripartite neutrino mixing. In fact, $s_{12}^2=1\mathrm{/}3-0.005=0.328\simeq 1\mathrm{/}3$ for $s_{12}^2$ improved in this way, while $s^2_{12 {\rm exp}} = 0.314 = 1/3

• 0.019$forthecentralvalueofexperimental$s^2_{12 {\rm exp}}$.