B meson mixing in effective theories of supersymmetric Higgs bosons

We study a minimal flavor-violating extension of the minimal supersymmetric standard model, where higher-dimensional operators in the Kahler potential induce tree-level nonholomorphic Higgs couplings that are controlled by the scale of the physics beyond the minimal supersymmetric standard model and analyze their possible impact on CP violation in B-s and B-d mixing. We consider results on the time-dependent CP asymmetries in B-s -> psi phi and B-s -> psi f(0) from LHCb, in B-s -> psi phi from CDF and D0 and in B -> psi K-S from the B factories as well as the measurement of an anomalous like-sign dimuon charge asymmetry at D0. Taking into account the stringent bounds on the branching ratio of the rare B-s -> mu(+)mu(-) decay, we investigate to which extent the framework allows to address the observed (2-3)sigma discrepancies in fits of the unitarity triangle. We find that a nonstandard B-d mixing phase, that is in agreement with the current bounds on CP violation in B-s mixing, requires the presence of higher-dimensional operators both in the Kahler potential and the superpotential. The corresponding region of parameter space is characterized by small tan beta similar to 5, a light Higgs spectrum with masses below <= 400 GeV and will be probed by future measurements at LHCb.