Dirichlet Higgs as radion stabilizer in warped compactification

TL;DR

This paper explores how non-zero Dirichlet boundary conditions affect a bulk scalar in warped compactification, demonstrating the viability of the Goldberger-Wise stabilization mechanism and identifying a bulk Higgs with the GW scalar.

Contribution

It introduces the effects of generalized boundary conditions on bulk scalars and shows the Goldberger-Wise mechanism can operate with non-zero Dirichlet conditions, linking bulk Higgs to GW scalar.

Findings

Vacuum expectation value profiles are derived under general boundary conditions.

Goldberger-Wise stabilization works with non-zero Dirichlet boundary conditions.

Bulk $SU(2)_R$ triplet Higgs can be identified with the Goldberger-Wise scalar.

Abstract

We study implications of generalized non-zero Dirichlet boundary condition along with the ordinary Neumann one on a bulk scalar in the Randall-Sundrum warped compactification. First we show profiles of vacuum expectation value of the scalar under the general boundary conditions. We also investigate Goldberger-Wise mechanism in several setups with the general boundary conditions of the bulk scalar field and find that the mechanism can work under non-zero Dirichlet boundary conditions with appropriate vacuum expectation values. Especially, we show that $SU(2)_R$ triplet Higgs in the bulk left-right symmetric model with custodial symmetry can be identified with the Goldberger-Wise scalar.