One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry

Georgios K. Karananas, Marco Michel, Javier Rubio

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We point out that the successful generation of the electroweak scale via gravitational instanton configurations in certain scalar-tensor theories can be viewed as the aftermath of a simple requirement: the existence of a quadratic pole with a sufficiently small residue in the Einstein-frame kinetic term for the Higgs field. In some cases, the inflationary dynamics may also be controlled by this residue and therefore related to the Fermi-to-Planck mass ratio, up to possible uncertainties associated with the instanton regularization. We present here a unified framework for this hierarchy generation mechanism, showing that the aforementioned residue can be associated with the curvature of the Einstein-frame target manifold in models displaying spontaneous breaking of dilatations. Our findings are illustrated through examples previously considered in the literature.

Original languageEnglish
Article number135876
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume811
DOIs
StatePublished - 10 Dec 2020
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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