The combination of the Standard Model of particle physics  and gravity into a scale invariant framework  might have far-reaching consequences. First, the breaking of dilatation symmetry translates generically into the appearance of a pseudo-Goldstone boson or dilaton which, due to its small mass, could lead to the early and late time acceleration of the Universe. Secondly, the small value of the Higgs mass at the Planck scale could be a natural consequence of scale invariance, as already suggested by several functional renormalization group studies within the asymptotic safety paradigm.