dimensions of some of the quark fields over a large range of energies. If the CFT sectors are not separable, the relevant Yukawa couplings are suppressed (though not necessarily hierarchical), yet the corresponding soft terms are anarchical. While we assume the anarchical structure for the quadratic squark masses throughout this work, we investigate three different scenarios for the trilinear scalar couplings (the A - terms): anarchical, vanishing, or of a structure similar to the Yukawa couplings. We do so because the A -terms, unlike the soft masses, come from the superpotential, as do the Yukawa couplings, and furthermore they transform under the flavor symmetry in precisely the same way as the Yukawa couplings. It could thus well be that their structure is related to the Yukawa sector, while the quadratic terms are not. Our work here is aimed to answer the question formulated above, of whether a relation between the new physics and the standard model flavor structures exists at all. If the answer will end up being in the affirmative, we will be able to go a step further. Indeed, one can think of various mechanisms that would relate the two sectors, and the final goal would be to distinguish between them and answer questions such as the following: It should be interesting to pursue these questions in detail. Within our framework, we impose the constraints that follow from low energy flavor measurements, and obtain the upper bounds on possible deviations that might still be discovered in the future. In this way, we show how the future flavor measurements may provide answers to the questions posed above, and by that lead to insights concerning the underlying theory of supersymmetry breaking mediation (the new physics flavor puzzle) and the theory of flavor (the standard model flavor puzzle). The outline of this paper is as follows. In Section II we set our notations for the super- symmetric flavor parameters and review the FCNC and CP constraints. In Section III we present the soft terms at the high and at the weak scale in our framework of hybrid gauge- gravity mediation of supersymmetry breaking. In Section IV we summarize the analysis of Ref. [7] of the implications of FCNCs on models in which the gravity-mediated contribu- tions are subject to an FN mechanism. In this work we extend this study by considering A -terms as well. Section V contains the main bulk of our work. In this Section we analyze 4 • Does the flavor structure of the standard model come from an approximate symmetry, or from some dynamical mechanism? If it is a symmetry, is it Abelian or non-Abelian?