Improving the Effective Potential, Multi-Mass Problem and Modified Mass-Dependent Scheme

We present a new procedure for improving the effective potential by using renormalization group equation (RGE) in the presence of several mass scales. We propose a modification of the mass-dependent (MD) renormalization scheme, MDbar scheme, so that the scalar mass parameter runs at most logarithmically on the one hand and the decoupling of heavy particles is naturally incorporated in the RGE's on the other. Thanks to these properties, the procedure in MDbar scheme turns out to be very simple compared with the regionwise procedure in MSbar scheme proposed previously. The relation with other schemes is also discussed both analytically and numerically.Comment: 34 pages, 9 Post-Script figures are include

Soft Supersymmetry Breaking at Heavy Chiral Threshold

We discuss the structure of threshold corrections to soft supersymmetry-breaking parameters at the mass threshold of heavy chiral superfields. Nontrivial dependence on soft parameters of heavy matter fields originates from the `physical' definition of the threshold scale, at which the general form of soft supersymmetry breaking is derived in the superfield coupling formalism.Comment: 7 pages, no figur

Yukawa Hierarchy Transfer from Superconformal Sector and Degenerate Sfermion Masses

We propose a new type of supersymmetric models coupled to superconformal field theories (SCFT's), leading simultaneously to hierarchical Yukawa couplings and completely degenerate sfermion masses. We consider models with an extra Abelian gauge symmetry to generate hierarchical structure for couplings between the SM sector and the SC sector. Interestingly, this hierarchy is inversely transferred to the Yukawa couplings in the SM sector. In this type of models, flavor-independent structure of the superconformal fixed point guarantees that the sfermion masses of the first and the second generations are completely degenerate at low energy.Comment: 11 pages, latex, 3 figure

Non-perturbative Kahler Potential, Dilaton Stabilization and Fayet-Iliopoulos Term

We study the dilaton stabilization in models with anomalous U(1) symmetry by adding specific string-motivated, non-perturbative corrections to the tree-level dilaton K\"{a}hler potential. We find that the non-perturbative effects can stabilize the dilaton at a desirably large value. We also observe that the size of Fayet-Iliopoulos term is reduced at the stabilized point.Comment: 10 pages, 2 figure