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Soft supersymmetry breaking from stochastic superspace

By Archil Kobakhidze and Raymond R. Volkas


We propose a new realization of softly broken supersymmetric theories as theories defined on stochastic superspace. The supersymmetry breaking is parameterized in terms of a single (in general complex) mass parameter, ξ, describing the stochasticity of the Grassmannian superspace coordinates. In the context of the standard model with stochastic supersymmetry, the structure of the soft breaking terms has various characteristic features that can be tested in LHC experiments. Namely, at tree-level, the Bµ parameter, the universal soft trilinear couplings A, and the universal gaugino masses M3,2,1 are given solely in terms of ξ, with no other arbitrary parameters. The soft scalar masses, which are zero at tree-level, are induced radiatively through the renormalization group equations at one-loop. With this pattern of soft breaking terms, large supersymmetric contributions to FCNC processes are avoided. As a concrete illustration of the proposed formalism, we consider a minimal model, which turns out to be excluded by the known experimental data. Supersymmetry is the unique non-trivial extension of the relativistic Poincaré symmetry of spacetime. It leads to field theories with improved ultraviolet behavior. Because of this, supersymmetry might have a direct relevance to particle physics through its stabilizing of the electroweak scal

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