A comment showing that the Gripaios-Nguyen classification of asymptotically-free gauge theories misses anomaly cancellation constraints and prior classifications, and overstates its novelty.
Stable Asymptotically Free Extensions (SAFEs) of the Standard Model
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We consider possible extensions of the standard model that are not only completely asymptotically free, but are such that the UV fixed point is completely UV attractive. All couplings flow towards a set of fixed ratios in the UV. Motivated by low scale unification, semi-simple gauge groups with elementary scalars in various representations are explored. The simplest model is a version of the Pati-Salam model. The Higgs boson is truly elementary but dynamical symmetry breaking from strong interactions may be needed at the unification scale. A hierarchy problem, much reduced from grand unified theories, is still in need of a solution.
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Comment to "The asymptotically-free gauge theories"
A comment showing that the Gripaios-Nguyen classification of asymptotically-free gauge theories misses anomaly cancellation constraints and prior classifications, and overstates its novelty.