In Appendix A, we give a detailed derivation, given our framework and various approx- imations, of the low energy flavor parameters. It leads to the following expressions at the weak scale: where V$_{ij}$ are CKM elements, y$_{t}$, y$_{b}$ denotes the top, bottom Yukawa, respectively, i = 1 , 2 and j = 1 , 2 , 3. The factor r$_{3}$ captures the effect of RGE corrections to the diagonal elements of the soft squark mass matrices ( M 2 ˜ $_{q$_{A}$}$)$_{ii}$ and is defined in Eq. (A3). Numerically, r$_{3}$ = O (1 − 10), depending on the initial conditions, the scale of SUSY breaking and hidden sector effects. In minimal models, typically r$_{3}$ ∼ 3. The coefficients c$_{u}$, c$_{d}$ can be of O (1) for m$_{M}$ near the GUT scale and are all negative. The expressions Eq. (3.3) hold also for ( δ q $_{jj}$)$_{LR}$ up to MSSM F -term contributions. Throughout this work, the “ ∼ ” sign implies a similar parametric suppression but with generally different O (1) complex coefficients. A mediation mechanism allowing non-MFV contributions to the soft SUSY breaking terms in which flavor-changing terms are nonetheless suppressed was considered in Ref. [19]. In such a setup, the gauge-mediation contributions are dominant, but gravity-mediation contributions are non-negligible. In Ref. [19], the structure of the gravity-mediated con- tributions was not arbitrary, but rather set by the same approximate horizontal symmetry which explains the smallness of the Yukawa couplings ` a la Froggatt-Nielsen [8, 10]. In Section IV A we summarize the implications of FCNC constraints in such hybrid FN models as obtained in Ref. [7], updating these to include the more recent constraints in the 9 IV. FN SYMMETRY IN THE GRAVITY SECTOR ( δ u $_{12}$)$_{LL}$ ∼ 1 r$_{3}$ max { r ( X$_{u}$$_{L}$ + Z$_{A}$$_{u}$Z † A$_{u}$ + Z$_{A}$$_{d}$Z † $_{A$_{d}$}$)$_{12}$ , c$_{d}$y 2 b | V$_{ub}$V ∗ cb |} , ( δ d $_{12}$)$_{LL}$ ∼ 1 r$_{3}$ max { r ( X$_{d}$$_{L}$ + Z$_{A}$$_{u}$Z † A$_{u}$ + Z$_{A}$$_{d}$Z † $_{A$_{d}$}$)$_{12}$ , c$_{u}$y 2 t | V$_{ts}$V ∗ td |} , ( δ u i $_{3}$)$_{LL}$ ∼ 1 r$_{3}$ max { r ( X$_{u}$$_{L}$ + Z$_{A}$$_{u}$Z † A$_{u}$ + Z$_{A}$$_{d}$Z † $_{A$_{d}$}$)$_{i}$$_{3}$ , c$_{d}$y 2 b | V$_{ib}$V ∗ tb |} , ( δ d i $_{3}$)$_{LL}$ ∼ 1 r$_{3}$ max { r ( X$_{d}$$_{L}$ + Z$_{A}$$_{u}$Z † A$_{u}$ + Z$_{A}$$_{d}$Z † $_{A$_{d}$}$)$_{i}$$_{3}$ , c$_{u}$y 2 t | V$_{tb}$V ∗ ti |} , ( δ q $_{ij}$)$_{RR}$ ∼ r r$_{3}$ ( X$_{q}$$_{R}$ + Z † $_{A$_{q}$}$Z$_{A}$$_{q}$ )$_{ij}$ , ( i = j ) , ( δ u $_{ij}$)$_{LR}$ ∼ ( Z$_{A}$$_{u}$ $_{)$_{ij}$}$√$_{rv}$$_{sin}$$_{β/}$$_{(}$$_{r}$$_{3}$$_{˜}$ m ) , ( δ d $_{ij}$)$_{LR}$ ∼ ( Z$_{A}$$_{d}$ $_{)$_{ij}$}$√$_{rv}$$_{cos}$$_{β/}$$_{(}$$_{r}$$_{3}$$_{˜}$ m ) , (3.3)