Higgs Mechanism in Scale-Invariant Gravity
arXiv:1308.4428
Abstract
We consider a Higgs mechanism in scale-invariant theories of gravitation. It is shown that in spontaneous symmetry breakdown of scale invariance, gauge symmetries are also broken spontaneously even without the Higgs potential if the corresponding charged scalar fields couple to a scalar curvature in a non-minimal way. In this gravity-inspired new Higgs mechanism, the non-minimal coupling term, which is scale-invariant, plays a critical role. Various generalizations of this mechanism are possible and particularly the generalizations to non-abelian gauge groups and a scalar field with multi-components are presented in some detail. Moreover, we apply our finding to a scale-invariant extension of the standard model (SM) and calculate radiative corrections. In particular, we elucidate the coupling between the dilaton and the Higgs particle and show that the dilaton mass takes a value around the GeV scale owing to quantum effects even if the dilaton is massless at the classical level.
32 pages
References in corpus (7)
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- The Standard Model Higgs boson as the inflaton
- Conformal Symmetry and the Standard Model
- The Higgs field as an inflaton
- Effective Action, Conformal Anomaly and the Issue of Quadratic Divergences
- Classically Scale-invariant B-L Model and Conformal Gravity
- Gravitational Higgs Mechanism with a Topological Term