General formulas for Cabibbo-Kobayashi-Maskawa mixing angles in terms of meson measses

Assuming asymptotic SU(2)L x U(1)Y x SU(n) family symmetry, general and rather elegant sum rules which predict the values of the Cabibbo-Kobayashi-Maskawa mixing angles for arbitrary family number n in terms of meson masses are obtained. For example, we derive tan2 θc ≅ [m2(D+) - m2(D0) - m2(K0) + m2(K+)]/[m2(Ds) - m2(D0) - m2(K0) + m2(π+)], which yields a reasonable value of the Cabibbo angle θc, |tanθc| = 0.276 ± 0.022. We can also predict Γ(b → u)/Γ(b → c), if the correct mass of Bc becomes available. (author)