Re (epsilon'/epsilon_K) vs. B_d -> phi K_S CP asymmetry

Abstract

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