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We analyze finite supersymmetric SU(5) GUT taking into account the problem in the Higgs potential and threshold corrections to gauge and Yukawa couplings at GUT and SUSY scales which is important in case of large model. We find that even with these finiteness conditions, which are very restrictive, there are parameter regions where low-energy experimental values are consistently reproduced and the Higgs potential actually realizes both constraints for large and radiative electroweak symmetry breaking, provided that a free parameter is introduced in the boundary condition of the Higgs mixing mass parameter.

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