Concerning the MFV contributions in the RR sector, as implemented in Eq. (3.3), flavor- changing MFV effects in ( ˜ M 2 $_{q$_{R}$}$)$_{ij}$ are absent at one-loop. However, they are generated at two loops through the RGE [18]. The largest such effect is the contribution to ( ˜ M 2 $_{d$_{R}$}$)$_{23}$ and is proportional to y$_{s}$y$_{b}$y 2 $_{t}$V ∗ $_{ts}$V$_{tb}$ ∼ 2 · 10 − $^{7}$tan2 β . Estimating very roughly the loop suppression as 1 / (16 π $^{2}$)2 × logs ∼ < 10 − $^{3}$, the non-MFV gravity effects dominate in ( δ d $_{23}$)$_{RR}$ provided Eq. (5.14) is saturated. We stress that in either case, the resulting δ q RR value is very small and irrelevant for flavor phenomenology. In this sense it is not of interest whether such a small value is non-MFV or MFV. The latter can happen if the neutron EDM bound tightens, or for very large values of tan β . Additionally, due to the smallness of the single insertion δ q RR parameters, of order 10 − $^{7}$, the question arises as to whether products of multiple mass insertions, effectively yielding similar RR squark mixing ( δ u,d ij ) eff $_{RR}$, can lead to comparable or larger effects. These receive contributions from F -terms induced by the supersymmetric Higgs mass term µ in the MSSM superpotential. For mixing involving the third generation we estimate ( i = 1 , 2): where in the inequality we apply the bound Eq. (5.14) for tan β ∼ > 2 and use m$_{˜}$ q = 1 TeV. For µ ∼ m$_{˜}$ q we then find that the maximal reach of ( δ u,d i 3 ) eff RR is larger than the corresponding maximal reach of ( δ u,d i 3 )$_{RR}$ ∼ r/r$_{3}$ . For all other δ q parameters, the single mass insertion is the dominant one. Combining the constraint Eq. (5.14) to the order of magnitude estimates of Table VII, we obtain the upper bounds on the δ q ij presented in Table VIII. Note that in the up sector, entries with an r$_{3}$ dependence are MFV, while non- r$_{3}$ entries are non-MFV. As the ( δ u,d i 3 )$_{RR}$ and the 〈 δ u,d i 3 〉 parameters will not affect the maximal possible effects in the neutral meson systems, we use the single mass insertions in both Tables VII and VIII. We learn that the maximal possible effects in the neutral B$_{d}$, B$_{s}$ and D systems are (for r$_{3}$ = 3 and, for the D system, tan β = 3): 19 ( δ u i $_{3}$) eff RR = ( δ u i $_{3}$)$_{RL}$ ( δ u $_{33}$)$_{LR}$ ∼ √ r r$_{3}$ m$_{t}$vµ m 3 ˜ q 1 √ 1 + tan $^{2}$β ∼ < 1 · 10 − 5 tan β ( µ 1 TeV ) , ( δ d i $_{3}$) eff RR = ( δ d i $_{3}$)$_{RL}$ ( δ d $_{33}$)$_{LR}$ ∼ r r$_{3}$ m$_{b}$vµ m 3 ˜ q tan β 1 + tan $^{2}$β ∼ < 2 · 10 − 7 µ 1 TeV , (5.19) B$_{d}$ : | M susy 12 /M exp 12 | ∼ < 2 · 10 − $^{4}$, B$_{s}$ : | M susy 12 /M exp 12 | ∼ < 5 · 10 − $^{4}$, (5.20) D : | M susy 12 /M exp 12 | ∼ < 3 · 10 − $^{10}$.