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We propose the complex group theoretical Clebsch-Gordon coefficients as anovel origin of CP violation. This is manifest in our model based on SUSY SU(5)combined with the double tetrahedral group, T', as a family symmetry. Due tothe presence of the doublet representations in T', there exist complex CGcoefficients, leading to explicit CP violation in the model, while the Yukawacouplings and the vacuum expectation values of the scalar fields remain real.The tri-bimaximal neutrino mixing matrix arises from the CG coefficients of T'.In addition to the prediction for theta_{13} ~ (1/ (3\sqrt{2}) theta_{c}, themodel gives rise to a sum rule, tan^{2} theta_{sol} ~ tan^{2} theta_{sol, TBM}}+ (1/2) theta_{c} cos(delta_{lep}), which is a consequence of theGeorgi-Jarlskog relations in the charged fermion sector. The predicted leptonicDirac CP phase, delta_{lep}, gives the correct value of the solar mixing angle,and the predicted CP violation measures in the quark sector are consistent withthe current experimental data. Since the Dirac CP phase is the onlynon-vanishing phase predicted in the lepton sector, there is a connectionbetween leptogenesis and low energy leptonic CP violating processes in ourmodel.

Geometrical Origin of CP Violation and CKM and MNS Matrices in SU(5) x T'