content_image/363938.jpg content_image/363937.jpg
the implications of FCNC and CP-violating processes on models where gravity-mediated contributions are anarchical. In Section VI we discuss how, in the future, a pattern of devia- tions from the standard model predictions for FCNCs can shed light on basic flavor puzzles. Further technical details are given in Appendix A, where we explain how the low energy flavor-violating parameters are related to the high scale soft supersymmetry breaking terms. 

## II. FCNC AND CP CONSTRAINTS ON SUSY PARAMETERS 

Measurements of various low energy processes put strong indirect restrictions on physics beyond the standard model. Here, we briefly review the constraints from flavor-violating and CP-violating processes on the SUSY parameters relevant to our analysis. 

Supersymmetric models provide, in general, new sources of flavor violation. These are most commonly analyzed in the basis in which the corresponding (down or up) quark mass matrix and the neutral gaugino vertices are diagonal. In this basis, which we label by a tilde, the squark mass matrices are not necessarily flavor-diagonal, and have the form 

<img src='content_image/363938.jpg'>

Here, M, N = L, R label the chirality, and i, j, k, l = 1 , 2 , 3 are generation indices. ˜ M 2 q$_{L}$ and ˜ M 2 q$_{R}$ are the supersymmetry-breaking squark masses-squared. The ˜ A q parameters enter in the trilinear scalar couplings ˜ A q $_{ij}$φ$_{q}$ ˜ q$_{Li}$ ˜ q ∗ $_{Rj}$, where φ$_{q}$ ( q = u, d ) is the q -type Higgs boson. The latter develop a vacuum expectation value v$_{q}$ = 〈 φ$_{q}$ 〉 , with v = √ v 2 u + v 2 d ∼ 174 GeV and v$_{u}$/v$_{d}$ = tan β . 

In Eq. (2.1) we omit flavor-diagonal F - and D -term contributions present in the minimal supersymmetric standard model (MSSM) since they are not relevant to our analysis. Note that the F - and D -term contributions to the chirality-preserving mass terms ( ˜ M 2 $_{q$_{L,R}$}$)$_{ii}$ are suppressed anyway by v $^{2}$/ ˜ m 2 q with respect to the SUSY-breaking contributions, where ˜ m 2 q is a representative q -squark mass scale. 

In the tilde-basis, flavor violation takes place through squark mass insertions, bringing in factors of 

<img src='content_image/363937.jpg'>

