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Agravity

Alberto Salvio
(
- Madrid, IFT and
- Madrid, Autonoma U.
)
,
Alessandro Strumia
(
- NICPB, Tallinn and
- INFN, Pisa and
- Pisa U.
)

Mar 17, 2014

26 pages

Published in:

JHEP 06 (2014) 080

Published: 2014

e-Print:

1403.4226 [hep-ph]

DOI:

10.1007/JHEP06(2014)080

Report number:

FTUAM-14-9,
IFT-UAM-CSIC-14-021

View in:

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Abstract: (Springer)

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 anti-graviton. We compute the super-Planckian 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

\beta

function vanish at the Planck scale. This is how the Higgs boson behaves for

M_h\approx 125

GeV at

M_t\approx 171

GeV. Within agravity, inflation is a generic phenomenon: the slow-roll parameters are given by the

\beta

-functions of the theory, and are small if couplings are perturbative. The predictions

n_s\approx 0.967

and

r\approx 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.

Note:

24 pages. References added, final version to appear on JHEP. v3: misprints fixed

Cosmology of Theories beyond the SM
Renormalization Group
Models of Quantum Gravity
new physics
quantum gravity: model
quantum gravity: renormalizable
inflation: slow-roll approximation
inflaton
graviton: coupling
coupling: kinetic

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