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.

arXiv comment16 pages, no figures; corrected generalized Starobinsky model in section 2, references added with comments

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• Higgs inflation with singlet scalar dark matter and right-handed neutrino in light of BICEP2
• Weyl gauge-vector and complex dilaton scalar for conformal symmetry and its breaking
• Inflation beyond T-models and primordial B-modes
• Power law Starobinsky model of inflation from no-scale SUGRA
• Inflationary cosmology from quantum Conformal Gravity
• Temperature in warm inflation in non minimal kinetic coupling model
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
• Conformal Higgs Inflation
• Conformal inflation with chameleon coupling
• General $f(R)$ and conformal inflation from minimal supergravity plus matter
• Dark side of Weyl gravity
• Radiative Inflation and Dark Energy RIDEs Again after BICEP2
• Non-minimal scalar-tensor theories
• Power law $\alpha$-Starobinsky inflation