Shaposhnikov, MikhailZenhausern, Daniel2010-09-072010-09-072010-09-07200910.1016/j.physletb.2008.11.0412-s2.0-57749100991https://infoscience.epfl.ch/handle/20.500.14299/52977WOS:000262799900031We construct a class of theories which are scale-invariant on quantum level in all orders of perturbation theory. In a subclass of these models scale invariance is spontaneously broken, leading to the existence of a massless dilaton. The applications of these results to the problem of stability of the electroweak scale against quantum corrections, to the cosmological constant problem and to dark energy are discussed. © 2008 Elsevier B.V. All rights reserved.Scale invarianceHierarchy problemCosmological constant problemUnimodular gravityDark energyInflationStandard ModelSymmetryGravitytext::journal::journal article::research article