Conformal Higgs Inflation

Abstract

We investigate a locally scale-invariant (that is, Weyl-invariant) theory which describes the coupling of gravity and the standard model from the viewpont of the Higgs mechanism and inflation. It is shown that this theory exhibits a peculiar feature of a coupling between the gauge field and the inflaton in a large field limit whereas it nicely describes the standard model coupled to general relativity in a small field limit. Moreover, we discuss a possibility that this Weyl invariant theory could explain the recent BICEP2 measurement by deforming the potential term in an appropriate way, and find it to be difficult to do that even if we introduce a non-analytical type of the potential.

13 pages

References in corpus (9)

• The Standard Model Higgs boson as the inflaton
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Universality Class in Conformal Inflation
• Superconformal generalizations of the Starobinsky model
• The Higgs field as an inflaton
• Superconformal Generalization of the Chaotic Inflation Model λϕ^4/4 - ξ/ 2 ϕ^2 R
• Cyclic Cosmology, Conformal Symmetry and the Metastability of the Higgs
• Classically Scale-invariant B-L Model and Conformal Gravity
• Conformal inflation from the Higgs

Cited by in corpus (8)

• Higgs inflation
• Fake Conformal Symmetry in Unimodular Gravity
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• Classical Weyl Transverse Gravity
• Reissner-Nordstrom Solution from Weyl Transverse Gravity
• Schwarzschild Solution from WTDiff Gravity
• Cosmology in Weyl Transverse Gravity
• Non-minimal scalar-tensor theories