From Planck to GUT via dimensional transmutation |
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Authors: | Haim Goldberg |
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Affiliation: | Department of Physics, Northeastern University, Boston, MA 02115, USA |
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Abstract: | Consider a gauge singlet superfield S coupled to a pair of adjoint fields in a SUSY-GUT. If the tree-level vacuum is flat in S, the vev S which defines the GUT scale will be determined via dimensional transmutation at a scale M where the soft-breaking (mass)2 vanishes as a result of running from MP = (8πGN)−1/2. Because of the large number of adjoint fields NA coupled to S, one finds that M can be generically close to MGUT = 2 × 1016GeV: , where λ is a Yukawa 0.7. This work examines the symmetries and dynamical constraints required in a SUSY-GUT in order that the desired flatness in S is achieved, and that this flatness may survive in a supergravity framework. |
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