Conformal inflation from the Higgs

Abstract

We modify the conformal inflation set-up of \cite{Kallosh:2013hoa}, with a local Weyl invariance, a dynamical Planck scale and an $SO(1,1)$ invariance at high energies, in order to be able to identify the physical scalar with the physical Higgs at low energies, similar to the cyclic Higgs models of \cite{Bars:2013vba}. We obtain a general class of exponentially-corrected potentials that gives a generalized Starobinsky model with an infinite series of $R^p$ corrections, tracing a line in the $(r,n_s)$ plane for CMB fluctuations, with an $r$ that can be made to agree with the recent BICEP2 measurement. Introducing a coupling different from the conformal value, thus breaking the local Weyl symmetry, leads nevertheless to a very strong attractor motion towards the generalized Starobinsky line.

16 pages, no figures; corrected generalized Starobinsky model in section 2, references added with comments

References in corpus (5)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The Standard Model Higgs boson as the inflaton
• Superconformal Symmetry, NMSSM, and Inflation
• Cosmological Attractor Models and Higher Curvature Supergravity

Cited by in corpus (9)

• Consistency relation for $R^p$ inflation
• Reconstructing the inflationary $f(R)$ from observations
• Higgs inflation with singlet scalar dark matter and right-handed neutrino in light of BICEP2
• Inflation beyond T-models and primordial B-modes
• Power law Starobinsky model of inflation from no-scale SUGRA
• Inflationary cosmology from quantum Conformal Gravity
• Conformal Higgs Inflation
• Dark side of Weyl gravity
• Radiative Inflation and Dark Energy RIDEs Again after BICEP2