Gluino-squark contributions to CP violations in the kaon system

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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29 pages, 6 figures, 1 table; typos and references corrected; version to appear in NPB

Scientific paper

10.1016/S0550-3213(01)00312-1

Recently it was shown, within the mass insertion approximation (MIA), that the gluino mediated flavor changing neutral current (FCNC) interactions can saturate both epsilon_K and Re(epsilon'/epsilon_K) even for the real Cabibbo-Kobayashi-Maskawa (CKM) matrix through a single CP violating parameter (delta^d_12)_LL. In this work, we extend our previous analysis to the nonvanishing KM phase, and to the effective SUSY model where the MIA is no longer a good approximation. In our model, epsilon_K and B0 - B0 bar mixing can receive significant SUSY contributions. Therefore the usual constraints on rho and eta in the Wolfenstein parametrization of the CKM matrix can be relaxed except for the |V_ub/V_cb| from the semileptonic b -> u transition. This affects K -> pi nu nu bar and K_L -> mu+ mu- indirectly, even if they are not directly induced by gluino-mediated FCNC, while K_L -> pi0 e+ e- is influenced both directly and indirectly. Differences between our model and other SUSY models enhancing Re(epsilon'/epsilon_K) are discussed in detail.

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