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In scale-invariant theories of gravity the Planck mass $M_P$, which appears due to spontaneous symmetry breaking, can be the only scale at the classical level.
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F. Loebbert, J. Miczajka, J. Plefka, Consistent Conformal Extensions of the Standard Model, Phys. Rev. D99 (1) (2019) 015026 · 2019
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