In a SUSY GUT seesaw scenario, the largeness of the atmospheric neutrino
mixing can reflect itself into an enhanced flavor changing mixing of beauty and
strange right-handed scalar quarks. If the CP violating phase in such down type
squark RR insertion is the main source of CP asymmetry in B_d -> phi K_S and
the gluino contributions to K0-K0 bar and B0-B0 bar mixing are negligible,
there is a correlation between Re (epsilon'/epsilon_K) and B_d -> phi K_S CP
asymmetry, in addition to that with the strange quark CEDM. The current data on
Re (epsilon'/epsilon_K) = (16.7 +- 2.6) 10^-4 imply that S_{phi K} should be
greater than \sim 0.5 (0.25) for mu tan beta = 1 (5) TeV, assuming the RR
dominance in b -> s transition and the minimal supergravity type boundary
conditions for soft parameters.Comment: 15 pages, 2 figures. Added references and discussions. Version to be
published in PR