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We show that both the Planck and electroweak mass scales can be generatedfrom conformal gravity via the Coleman-Weinberg mechanism of dimensionaltransmutation. At the first step, the Planck scale is generated via theColeman-Weinberg mechanism in the sector of conformal gravity, which means thatradiative corrections associated with gravitons induce spontaneous symmetrybreakdown of a local conformal symmetry. At the second step, the vacuumexpectation value of a scalar field is transmitted to the sector of thestandard model via a potential involving the conformally invariant part and thecontribution from the Coleman-Weinberg mechanism, thereby generating theelectroweak scale. The huge hierarchy between the two scales can be explainedin terms of a very tiny coupling constant between the scalar and the Higgsfield in a consistent way.

Planck and Electroweak Scales Emerging from Conformal Gravity