Non Linear Realizations of SU(2)×U(1)SU(2)\times U(1) in the MSSM: Model Independent Analysis and g−2g-2 of WW Bosons

We perform a model-independent analysis of the spontaneously broken phase of an $SU(2)\times U(1)$ supersymmetric gauge theory, by using a non-linear parametrization of the Goldstone sector of the theory. The non-linear variables correspond to an $SL(2,C)$ superfield matrix in terms of which a non-linear Lagrangian can be constructed, and the pattern of supersymmetry breaking investigated. The supersymmetric order parameter is the V.E.V. of the neutral pseudo-Goldstone boson. Some applications of this technique are considered, in relation to the minimal supersymmetric standard model, and to determine the $g-2$ of the $W$-bosons in the limit of large top mass.Comment: 11 page

Quark Masses and Mixing Angles

Inspired by the vector-like phenomenon of chiral gauge theories at short distances, we postulate that the $W^\pm$-gauge boson has a vector-like gauge coupling in the high-energy region, beside its purely right-handed gauge coupling observed in the low-energy region. It is discussed that the top quark acquires its mass via spontaneous symmetry breaking, while the $u,d,c,s,b$ quarks acquire their masses via explicit symmetry breakings. We discover four relationships between four inter-generation mixing angles and six quark masses by examining Dyson equations for quark self-energy functions. A preliminary analysis shows that the hierarchical pattern of quark masses is closely related to the hierarchical pattern of inter-generation mixing angles. In particular, the CP-violating phase is predicted to be approximately 79$^\circ$.Comment: more references are added, to appear in Phys. Lett.