Abstract
We study multi-scalar models of radius stabilization, with an eye towards application to novel extra-dimensional models of symmetry breaking. With inspiration from holography, we construct a multi-scalar effective potential that is a function of UV-brane values of the scalar fields, and that takes into account bulk gravitational backreaction. We study extrema of this potential, and additionally provide a "superpotential" method for generating static solutions for the extra-dimensional geometry. We apply these methods to some simple models of the Higgs mechanism where the Higgs itself plays a non-trivial role in radius stabilization. We conclude that mass mixing of the Higgs and radion is generic unless additional symmetries are imposed. We focus on models with moderate gap between the electroweak and Kaluza-Klein scale, as required by phenomenological constraints. We note that tuning of the Higgs mass relative to the KK scale is related to various classes of tuning of 5D parameters, with different resulting spectra and phenomenologies.
Highlights
The mass of the Higgs is far smaller than dimensional analysis predicts given that there are so far no experimental signatures of new physics indicating new symmetries near the electroweak scale
We explore the relationship between extradimensional radius stabilization and the Higgs mass
The same goes for the reverse: The Higgs vacuum expectation value (VEV) itself will backreact on the geometry and feed into the total effective potential for the radion
Summary
The mass of the Higgs is far smaller than dimensional analysis predicts given that there are so far no experimental signatures of new physics indicating new symmetries near the electroweak scale. The same goes for the reverse: The Higgs VEV itself will backreact on the geometry and feed into the total effective potential for the radion This first motivates the development of a formalism for dealing with multiscalar models of 5D Randall-Sundrum (RS) model radius stabilization. Cosmology can be dramatically changed by interplay of the Higgs and modulus field, with oscillations of the coupled scalar system leading to repercussions for gravity waves and constraints on inflationary models It is with this in mind that we choose models whose parameter space explores the full range of classes of mixedmodulus-Higgs potential. The Higgs is purely localized on the IR brane through couplings to the Goldberger-Wise field or when the Higgs is in the bulk of the extra dimension This mixing is different in the various classes of Higgs-radion potential and influences the spectrum of light scalar modes. In Appendix B, we give a presentation of a “superpotential” method to generate static geometries with multiple scalar fields
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call