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Abstract
We suggest SU(5)′ in the hidden sector toward a possible gauge mediated supersymmetry breaking scenario for removing the SUSY flavor problem, with an example constructed in Z12−I with three families. The example we present has the Pati–Salam type classification of particles in the observable sector and has no exotics at low energy. We point out that six or seven very light pairs of 5′ and 5¯′ out of ten vectorlike 5′ and 5¯′ pairs of SU(5)′ is achievable, leading to a possibility of an unstable supersymmetry breaking vacuum. The possibility of different compactification radii of three two tori toward achieving the needed coupling strength is also suggested.
Highlights
The gauge mediated supersymmetry breaking (GMSB) has been proposed toward removing the SUSY flavor problem [1]
The GMSB relies on dynamical supersymmetry breaking [2]
If we consider a metastable vacuum a SUSY QCD type is possible in SU(5)′ with six or seven flavors, satisfying
Summary
The gauge mediated supersymmetry breaking (GMSB) has been proposed toward removing the SUSY flavor problem [1]. The main problem in realizing a GMSB model is the difficulty of obtaining the supersymmetry (SUSY) breaking confining group with appropriate representations in the hidden sector while obtaining a supersymmetric standard model (SSM) with at least three families of the SM in the observable sector. To solve the SUSY flavor problem by the GMSB, we require two conditions: one is the relatively low hidden sector confining scale (< 1012 GeV) and the other is the matter spectrum allowing SUSY breaking. Toward this kind of GMSB, at the GUT scale we naively expect a smaller coupling constant for a relatively big hidden sector nonabelian gauge group (such as SU(5)′ or SO(10)′). IV, we discuss the hidden sector gauge group SU(5)′ where a GMSB spectrum is possible
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