Abstract
We explore the possible low energy phases of the confining non-supersymmetric SU(5) chiral gauge theory with three generations of fermions in the (10+\( \overline{5} \)) representations. This theory has the same fermion and gauge matter content as the simplest Georgi-Glashow grand unified theory of the Standard Model and has an SU(3) × SU(3) × U(1) global symmetry. Using ’t Hooft anomaly matching, most attractive channel, and soft SUSY breaking approaches, we outline a number of possible consistent low energy vacua including one with a remnant SO(3) × U(1) symmetry that is analogous to the one-generation model. For the soft SUSY breaking approach, we find that as one extrapolates to large SUSY breaking to recover the original theory, a phase transition is possible. We show that such a phase transition is guaranteed if SUSY breaking is communicated via anomaly mediation.
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Bai, Y., Stolarski, D. Phases of confining SU(5) chiral gauge theory with three generations. J. High Energ. Phys. 2022, 113 (2022). https://doi.org/10.1007/JHEP03(2022)113
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DOI: https://doi.org/10.1007/JHEP03(2022)113