δ $^{ab}$Λ 3 = 0, where Λ is the condensation scale [31, 378, 383]. If the composite field λ $^{a}$λb belongs to the 〈 F 〉 ∼ Λ $^{3}$/M$_{P}$ -term, then again on dimensional grounds one would expect the soft SUSY mass contribution to be [31, 377] In this case the nature of SUSY breaking is dynamical and the scale is given by Λ ∼ 10 13 GeV. Commonly gravity mediated SUSY breaking scenario is also known as minimal SUGRA (mSUGRA). In mSUGRA the number of independent parameters reduce a lot, there are m$_{0}$, m$_{1}$$_{/}$$_{2}$, A$_{0}$ , the GUT scale value for µ$_{0}$, b$_{0}$ , and the gravitino mass. Further more b$_{0}$ = A$_{0}$ − m$_{0}$ and m$_{3}$$_{/}$$_{2}$ = m$_{0}$ further reduces the parameter space. Nowadays, the popular choice of parameters is known as CMSSM (constrained MSSM), they are: tan β = 〈 H$_{u}$ 〉 / 〈 H$_{d}$ 〉 , m$_{0}$, A$_{0}$, m$_{1}$$_{/}$$_{2}$ and sgn( µ$_{0}$ ). Within CMSSM the LSP is the lightest neutralino (the neu- tral higgsinos ( ˜ H 0 u and ˜ H 0 $_{d}$) and the neutral gauginos ( ˜ B, ˜ W $^{0}$) combine to form four mass eigenstates called neutralinos), m$_{˜}$ N 1 < m$_{˜}$ N 2 < m$_{˜}$ N 3 < m$_{˜}$ N 4 is known to be the LSP, unless gravitino is the lightest, or R-parity is not conserved. There are variants of gravity mediation, known as anomaly mediated SUSY breaking (AMSB) scenarios, where at tree level gaugino masses are not present. The masses for gauginos arise from one-loop whose origin can be traced to the super-conformal (super- Weyl) anomaly which is common to all SUGRA models [382, 396, 397]. At low energies gaugino mass parameters are given by: where m$_{3}$$_{/}$$_{2}$ ∼ 100 − 1000 GeV is the gravitino mass, and b$_{i}$ are the MSSM gauge beta- functions, i.e. for SU (3) , SU (2) , U (1) gauge groups: ( b$_{3}$ = − 3 , b$_{2}$ = 1 , b$_{1}$ = 33 / 5). AMSB can naturally suppress the flavor changing processes, however at a cost of negative squared masses for the sleptons. Therefore AMSB cannot alone be the main source for SUSY break- ing in the slepton sector. In gauge mediated SUSY breaking one employs a heavy messenger sector which couples directly to the SUSY breaking sector but indirectly to the observable sector via standard 5. Gauge mediated SUSY breaking m$_{soft}$ ∼ Λ 3 M 2 P . (110) M$_{i}$ ≈ b$_{i}$g 2 i 16 π $_{2}$m$_{3}$$_{/}$$_{2}$ . (111) 52