Radiative Mechanism to Light Fermion Masses in the MSSM

In a previous work we have showed that the ${\mathcal{Z}}_2^{\mathrm{\prime }}$ Symmetry, imply that the light fermions, the electron and the quarks, $u,d$ and $s$, get their masses only at one loop level. Here, we considere the more general hypothesis for flavour mixing in the sfermion sector in the MSSM. Then, we present our results to the masses of these light fermions and as a final result we can explain why the $s$ quark is heavier than the $u,d$ quarks. This mechanism is in agrement with the experimental constraint on the sfermion’s masses values.