  Enlightened by the idea of the 3 times 3 CKM angle matrix proposed recently
by Harrison et al., we introduce the Dirac angle matrix Phi and the Majorana
angle matrix Psi in the lepton sector for Dirac and Majorana neutrinos
respectively. We show that in presence of the CP violation, the angle matrix
Phi or Psi is entirely equivalent to the complex MNS matrix V itself, but has
the advantage of being real, phase rephasing invariant, directly associated to
the leptonic unitarity triangles (UTs) and do not depend on any particular
parametrization of V. In this paper, we further analyzed how the angle matrices
evolve with the energy scale. The one-loop Renormalization Group Equations
(RGEs) of Phi, Psi and some other rephasing invariant parameters are derived
and the numerical analysis is performed to compare between the case of Dirac
and Majorana neutrinos. Different neutrino mass spectra are taken into account
in our calculation. We find that apparently different from the case of Dirac
neutrinos, for Majorana neutrinos the RG-evolutions of Phi, Psi and the
Jarlskog strongly depend on the Majorana-type CP-violating parameters and are
quite sensitive to the sign of Delta m^{2}_{31}. They may receive significant
radiative corrections in the MSSM if three neutrino masses are nearly
degenerate.
