q ij ( δ q $_{ij}$)$_{LL}$ ( δ q $_{ij}$)$_{RR}$ 〈 δ q ij 〉 d 12 y 2 t | V$_{ts}$V ∗ td | /r$_{3}$ ∼ 10 − 4 r/r$_{3}$ ∼ 0 . 3 r √ ry 2 t | V$_{ts}$V ∗ td | /r$_{3}$ ∼ 0 . $_{006}$√$_{r}$ d 13 y 2 t | V$_{tb}$V ∗ td | /r$_{3}$ ∼ 0 . 003 r/r$_{3}$ ∼ 0 . 3 r ry 2 t | V$_{tb}$V ∗ td | /r$_{3}$ ∼ 0 . $_{03}$√$_{r}$ d 23 y 2 t | V$_{tb}$V ∗ ts | /r$_{3}$ ∼ 0 . 01 r/r$_{3}$ ∼ 0 . 3 r √ ry 2 t | V$_{tb}$V ∗ ts | /r$_{3}$ ∼ 0 . $_{07}$√$_{r}$ u 12 ˜ r/r$_{3}$ ∼ 0 . 3˜ r r/r$_{3}$ ∼ 0 . 3 r √$_{r}$$_{˜}$ r/r$_{3}$ ∼ 0 . $_{3}$√$_{r}$$_{˜}$ r u 13 y 2 b | V$_{ub}$V ∗ tb | /r$_{3}$ ∼ 4 · 10 − 6 r/r$_{3}$ ∼ 0 . 3 r √ ry 2 b | V$_{ub}$V ∗ tb | /r$_{3}$ ∼ 0 . $_{001}$√$_{r}$ u 23 y 2 b | V$_{cb}$V ∗ tb | /r$_{3}$ ∼ 4 · 10 − 5 r/r$_{3}$ ∼ 0 . 3 r ry 2 b | V$_{cb}$V ∗ tb | /r$_{3}$ ∼ 0 . $_{004}$√$_{r}$ TABLE VII: The order of magnitude estimates for ( δ d,u ij )$_{LL,RR}$ and 〈 δ d,u ij 〉 in the models defined by Eq. (5.13). The numerical estimates are obtained using quark masses at the scale m$_{Z}$ [20] and for r$_{3}$ = 3 and tan β = 3. All numerical estimates scale as (3 /r$_{3}$ ). The constraints in Eq. (5.14) imply that, for reasonable values of the RG-factor r$_{3}$ = O (1 − 10), most of the δ q LL parameters are dominated by MFV effects: where i = 3, whereas with can be either MFV or gravity dominated. The δ q RR parameters in full anarchy are still non-MFV dominated, with the RR-mixing being subject to some subtleties discussed below. Order of magnitude estimates for the various δ q ij are given in Table VII. The situation regarding the RR flavor mixing is driven by three factors: the extremely strong constraint on r/r$_{3}$ , the fact that the latter stems from LR-mixing, which is only suppressed by √ r/r$_{3}$ , and the absence of significant MFV terms in the RR-mixing as opposed to the LL one. 18 ˜ r ≡ max { r, c$_{d}$y 2 b | V$_{ub}$V ∗ cb |} ∼ max { r, 2 · 10 − $^{4}$y2 b } , (5.18) ( δ u $_{12}$)$_{LL}$ ∼ ˜ r r$_{3}$ , (5.17) ( δ d $_{12}$)$_{LL}$ ∼ c$_{u}$y 2 t | V$_{ts}$V ∗ td | r$_{3}$ , ( δ u i $_{3}$)$_{LL}$ ∼ c$_{d}$y 2 b | V$_{ib}$V ∗ tb | r$_{3}$ , ( δ d i $_{3}$)$_{LL}$ ∼ c$_{u}$y 2 t | V$_{tb}$V ∗ ti | r$_{3}$ , (5.16)