It is observed that the scale-unifying model based on supersymmetry and compositeness provides a natural reason for the family mass hierarchy m,. <^m//<^mr and links spontaneous CP violation to the nonvanishing mass of the electron family. Some of its predictions include (i) K^-K^ and KL-^jIe are normal, but (ii) Z-• tc, cu, and ^e have observably large strengths allowing for single top production at theCERN e^e~ collider LEP II, and (iii) ^;, ^ (0.5-10) x 10 "^^ ecm.

We analyze the effects of CP -violating phases on the electric dipole moment (EDM) of electron and neutron in the constrained minimal supersymmetric model. We find that the phases ϕ µ and ϕ A 0 have to be strongly correlated, in particular for small values of the SUSY mass parameters. We calculate the neutron EDM in two different models, the Quark-Parton Model and the Chiral Quark Model. It turns out that the predictions are quite sensitive to the model used. We show parameter regions in the M 0 -M 1/2 plane which are excluded by considering simultaneously the experimental bounds of both electron and neutron EDM, assuming specific values for the phases ϕ µ and ϕ A 0 .

We study the implications on flavor changing neutral current and CP violating processes in the context of supersymmetric theories without a new flavor structure (flavor blind supersymmetry). The low energy parameters are determined by the running of the soft breaking terms from the grand unified scale with SUSY phases consistent with the EDM constraints. We find that the CP asymmetry in b → sγ can reach large values potentially measurable at B factories, especially in the low BR(b → sγ) region. We perform a fit of the unitarity triangle including all the relevant observables. In this case, no sizeable deviations from the SM expectations are found. Finally we analyze the SUSY contributions to the anomalous magnetic moment of the muon pointing out its impact on the b → sγ CP asymmetry and on the SUSY spectrum including chargino and stop masses.

We investigate the local behaviour of solutions of a nonrelativistic Schrodinger equation which describe Coulombic systems. Firstly we give a representation theorem for such solutions in the neighbourhood of Coulombic singularities generalizing previous results (Cusp conditions) due to Kato and others. Secondly we investigate the influence of Fermi statistics on the local behaviour of many fermionic wave functions, showing that e.g. an TV-electron wave function must have zeros of order at least 7V 4//3 for large N.

We study FCNC and CP violating processes in the MSSM without a new flavour structure (flavour blind MSSM). The low energy parameters are determined by the running of the soft breaking terms from the GUT scale with SUSY phases consistent with the EDM constraints. We find that the CP asymmetry in b → sγ can reach large values potentially measurable at B factories, especially in the low BR(b → sγ) region.We analyze the SUSY contributions to the anomalous magnetic moment of the muon pointing out its impact on the b → sγ CP asymmetry and on the SUSY spectrum. * Speaker. PrHEP hep2001International Europhysics Conference on HEP Alfred BartlIn this contribution we study in a systematic way the restrictions on the supersymmetry (SUSY) parameters and complex phases which can be derived from the experimental information on flavour changing neutral currents (FCNC) and on CP violation. We choose the Minimal Supersymmetric Standard Model (MSSM) as our theoretical framework and focus on a class of SUSY models that we call flavour blind MSSM. With this term we refer to a model where the soft breaking terms at the grand unification (GUT) scale do not introduce any new flavour structure beyond the usual Yukawa matrices. In this restricted class of models, the number of parameters is largely reduced and it is therefore possible to perform a complete phenomenological analysis. Here we present the main results of our analysis. For details we refer to [1].We consider two cases, which are specified by the structure of the soft breaking parameters at the GUT scale. The first case is the simplest version of the constrained MSSM, where we take the following independent parameters:and tan β, which are the universal gaugino and scalar mass parameter, the absolute value and the phase of the trilinear scalar coupling, the phase of µ, and the ratio of the vacuum expectation values of the Higgs fields. The second case refers to the SUSY SU (5) model, where we take the following set of parameters:are the scalar mass parameters of the5 and 10 sfermions and the two Higgs doublets, and A u and A d are the trilinear scalar couplings of the 10 and5.With the SUSY parameters defined at the GUT scale we determine the soft SUSY breaking parameters at the weak scale by evolving them down with the renormalization group equations (RGE). In our analysis, we have used two-loop RGEs as given in [2] and one-loop masses as given in [3]. We fix |µ| 2 by demanding radiative breaking of the electroweak SU (2) L × U (1) symmetry. At the weak scale we impose the constraints from direct SUSY and Higgs particle searches [4] and from the ρ-parameter, as well as the requirements of colour and electric charge conservation and the lightest SUSY particle (LSP) to be neutral. With these sets of soft SUSY parameters we calculate the electric dipole moment (EDM) of the electron and the branching ratio of b → sγ and compare them with the experimental data, |d e | ≤ 4.0 × 10 −27 e cm and 2 × 10 −4 ≤ BR(b → sγ) ≤ 4.5 × 10 −4 [5]. The sets in agreement with the experime...