If a grand-unified extension of the asymptotically safe Reuter fixed-point for quantum gravity exists, it determines free parameters of the grand-unified scalar potential. All quartic couplings take their fixed-point values in the trans-Planckian regime. They are irrelevant parameters that are, in principle, computable for a given particle content of the grand unified model. In turn, the direction of spontaneous breaking of the grand-unified gauge symmetry becomes predictable. For the flow of the couplings below the Planck mass, gauge and Yukawa interactions compete for the determination of the minimum of the effective potential.
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Eichhorn, A., Held, A. & Wetterich, C. Predictive power of grand unification from quantum gravity. J. High Energ. Phys. 2020, 111 (2020). https://doi.org/10.1007/JHEP08(2020)111
- Models of Quantum Gravity
- Renormalization Group