[Luo, Shu] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; Chinese Acad Sci, Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China
The 3 x 3 CKM matrix defines six unitarity triangles in the complex plane, which will be carefully explored in the LHCb experiment and at the SuperB factory. We calculate the running effects of 9 different inner angles and 18 different sides of the six triangles from the electroweak scale to a superhigh-energy scale by using the one-loop renormalization-group equations, and demonstrate that all the nine angles are stable against radiative corrections. In particular, we find that the CP-violating angle a is most insensitive to the changes of energy scales.