On SU(5) Grand Unified Models with Extra Symmetries and their Experimental Testability

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In this year, I have been working on Nambu-Goldstone (NG) Higgs grand unified theories (GUT) models. We studied supersymmetric (SUSY) SU(5) GUT model with a global SU(6) symmetry including SU(5) as a subgroup to explain Higgs as NG Higgs particles and to solve the doublet-triplet splitting problem. We used renormalization group equations to represent the GUT parameters by the SUSY parameters and calculated the proton decay with different soft-SUSY-breaking scenarios.I am also doing another project about the calculation of proton decay using chiral perturbation theory. We are trying to use chiral perturbation theory to improve the results of proton decays for different channels. It could help to connect the experimental bounds to theoretical predictions to test GUT models.