Constraining the MSSM sfermion mass matrices with light fermion masses

We study the finite supersymmetric loop corrections to fermion masses and mixing matrices in the generic MSSM. In this context the effects of non-decoupling chirally-enhanced self-energies are studied beyond leading order in perturbation theory. These NLO corrections are not only necessary for the renormalization of the CKM matrix to be unitary, they are also numerically important for the light fermion masses. Focusing on the trilinear A-terms with generic flavor-structure we derive very strong bounds on the chirality-changing mass insertions δ_IJ^fLR,RL by applying ’t Hooft’s naturalness criterion. In particular, the NLO corrections to the up quark mass allow us to constrain the unbounded element δ₁₃^uRL if at the same time δ₁₃^uLR is unequal to zero. Our result is important for single-top production at the LHC.