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Grand unification of gauge couplings and fermionic representations remains anappealing proposal to explain the seemingly coincidental structure of theStandard Model. However, to realise the Standard Model at low energies, theunified symmetry group has to be partially broken by a suitable scalarpotential in just the right way. The scalar potential contains severalcouplings, whose values dictate the residual symmetry at a global minimum. Some(and possibly many) of the corresponding symmetry-breaking patterns areincompatible with the Standard Model and therefore non-admissible. Here, weinitiate a systematic study of radiative symmetry breaking to thereby constrainviable initial conditions for the scalar couplings, for instance, at the Planckscale. We combine these new constraints on an admissible scalar potential withwell-known constraints in the gauge-Yukawa sector into a general blueprint thatcarves out the viable effective-field-theory parameter space of any underlyingtheory of quantum gravity. We exemplify the constraining power of our blueprintwithin a non-supersymmetric $\mathit{SO}(10)$ GUT containing a $\mathbf{16}_H$-and a $\mathbf{45}_H$-dimensional scalar representation. We explicitlydemonstrate that the requirement of successful radiative symmetry breaking tothe correct subgroups significantly constraints the underlying microscopicdynamics. The presence of non-admissible radiative minima can even entirelyexclude specific breaking chains: In the $\mathit{SO}(10)$ example, Pati-Salambreaking chains cannot be realised since the respective minima are never thedeepest ones.

Grand unification and the Planck scale: An $\mathit{SO}(10)$ example of radiative symmetry breaking