Higgs-dilaton cosmology: From the early to the late Universe
We consider a minimal scale-invariant extension of the standard model of particle physics combined with unimodular gravity formulated in [M. Shaposhnikov and D. Zenhausern, Phys. Lett. B 671, 187 (2009).]. This theory is able to describe not only an inflationary stage, related to the standard model Higgs field, but also a late period of dark-energy domination, associated with an almost massless dilaton. A number of parameters can be fixed by inflationary physics, allowing us to make specific predictions for any subsequent period. In particular, we derive a relation between the tilt of the primordial spectrum of scalar fluctuations, ns, and the present value of the equation of state parameter of dark energy (DE), wDE0. We find bounds for the scalar tilt, ns<0.97, the associated running, -0.0006 -1. The relation between ns and wDE0 allows us to use the current observational bounds on ns to further constrain the dark-energy equation of state to 0<1+wDE0<0.02, which is to be confronted with future dark-energy surveys ; We acknowledge financial support from the Madrid Regional Government (CAM) under the Program No. HEPHACOS P-ESP-00346 and MICINN under Grant No. AYA2009-13936-C06-06. We also participate in the Consolider-Ingenio 2010 PAU (CSD2007-00060), as well as in the European Union Marie Curie Network UniverseNet under Contract No. MRTN-CT-2006-035863. J. R. would like to acknowledge financial support from UAM/CSIC. The work of M. S. and D. Z. was supported by the Swiss National Science Foundation and by the Tomalla Foundation