Agravity
Abstract
We explore the possibility that the fundamental theory of nature does not contain any scale. This implies a renormalizable quantum gravity theory where the graviton kinetic term has 4 derivatives, and can be reinterpreted as gravity minus an antigraviton. We compute the superPlanckian RGE of adimensional gravity coupled to a generic matter sector. The Planck scale and a flat space can arise dynamically at quantum level provided that a quartic scalar coupling and its β function vanish at the Planck scale. This is how the Higgs boson behaves for M _{ h } ≈ 125 GeV and M _{ t } ≈ 171 GeV. Within agravity, inflation is a generic phenomenon: the slowroll parameters are given by the βfunctions of the theory, and are small if couplings are perturbative. The predictions n _{ s } ≈ 0 .967 and r ≈ 0 .13 arise if the inflaton is identified with the Higgs of gravity. Furthermore, quadratically divergent corrections to the Higgs mass vanish: a small weak scale is natural and can be generated by agravity quantum corrections.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2014
 DOI:
 10.1007/JHEP06(2014)080
 arXiv:
 arXiv:1403.4226
 Bibcode:
 2014JHEP...06..080S
 Keywords:

 Cosmology of Theories beyond the SM;
 Renormalization Group;
 Models of Quantum Gravity;
 High Energy Physics  Phenomenology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 24 pages. References added, final version to appear on JHEP. v3: misprints fixed