Weak scale: Dynamical determination versus accidental stabilization

Abstract

Is it a mere accident that the weak scale is exactly so much smaller than the Planck scale, and at the same time exactly so much larger than the QCD scale? Or are the experimentally-measured values of the corresponding gauge couplings enough to help us determine dynamically these energy scales? And if nature has indeed offered us the possibility of such a determination, why dismiss it and fix these scales instead by means of arbitrary parameters within a multitude of jejune theoretical frameworks which make this wonderful hierarchy seem fortuitous?

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