Flavour-dependent SUSY phases and CP asymmetry in B -> X_s gamma decays

We study the direct CP asymmetry in B -> X_s gamma decay in SUSY models with non-universal A-terms. We show that the flavour-dependent phases of the A-terms, unlike the flavour-independent ones, can give rise too large contribution to the CP asymmetry while respecting the experimental bounds on the branching ratio of B -> X_s gamma decay and the electric dipole moments of the electron and neutron. The CP asymmetry of this decay is predicted to be much larger than the standard model prediction in a wide region of the parameter space. In particular, it can be of order 10-15% which can be accessible at B factories.