Resummed effective Lagrangian for Higgs-mediated flavor-changing neutral current interactions in the CP-violating MSSM

We derive the general resummed effective Lagrangian for Higgs-mediated flavor-changing neutral-current (FCNC) interactions in the minimal supersymmetric standard model, without resorting to particular assumptions that rely on the squark mass or the quark-Yukawa structure of the theory. In our derivation we also include the possibility of explicit CP violation through the Cabibbo-Kobayashi-Maskawa mixing matrix and soft supersymmetry-breaking mass terms. The advantages of our resummed FCNC effective Lagrangian are explicitly demonstrated within the context of phenomenologically motivated scenarios. We obtain new testable predictions in the large tan β regime of the theory for CP-conserving and CP-violating observables related to the K- and B-meson systems, such as ΔMK,B, εK, ε'/ε, B(Bd,s→l+l-) and their associated leptonic CP asymmetries. Finally, based on our resummed FCNC effective Lagrangian, we can identify configurations in the soft supersymmetry-breaking parameter space, for which a kind of a Glashow-Iliopoulos-Maiani-cancellation mechanism becomes operative and hence all Higgs-mediated, tan β-enhanced effects on K- and B-meson FCNC observables vanish