Dynamical Emergence of Scalaron in Higgs Inflation
Abstract
We point out that a light scalaron dynamically emerges if scalar fields have a sizable non-minimal coupling to the Ricci scalar as in the Higgs inflation model. We support this claim in two ways. One is based on the renormalization group equation; the non-minimal coupling inevitably induces a Ricci scalar quadratic term due to the renormalization group running. The other is based on scattering amplitudes; a scalar four-point amplitude develops a pole after summing over a certain class of diagrams, which we identify as the scalaron. Our result implies that the Higgs inflation is actually a two-field inflationary model. Another implication is that the Higgs inflation does not suffer from the unitarity issue since the scalaron pushes up the cut-off scale to the Planck scale.
Keywords
Cite
@article{arxiv.1907.00993,
title = {Dynamical Emergence of Scalaron in Higgs Inflation},
author = {Yohei Ema},
journal= {arXiv preprint arXiv:1907.00993},
year = {2019}
}
Comments
31 pages. v2: references and clarifications added