A note on dimension-5 operators in GUTs and their impact |
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Authors: | Joydeep Chakrabortty Amitava Raychaudhuri |
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Affiliation: | 1. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India;2. Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India |
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Abstract: | Quantum gravity or string compactification can lead to effective dimension-5 operators in Grand Unified Theories which modify the gauge kinetic terms. We exhaustively discuss the group-theoretic nature of such operators for the popular SU(5), SO(10), and E(6) models. In particular, for SU(5) only a Higgs in the 200 representation can help bring the couplings to unification below the Planck scale and in consistency with proton decay limits while for a supersymmetric version 24, 75, or 200 representations are all acceptable. The results also have a direct application in non-universality of gaugino masses in a class of supersymmetric models where identical group-theoretic features obtain. |
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Keywords: | Grand Unified Theories |
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