Inducing the mu and the B mu Term by the Radion and the 5d Chern-Simons Term

TL;DR

This paper proposes a novel mechanism for generating the mu and B mu terms in 5D gauge-Higgs unification models, utilizing the radion F-term and Chern-Simons terms, with implications for high-scale physics and LHC phenomenology.

Contribution

It introduces a new radion-based mechanism for mu and B mu term generation in 5D models, supported by an explicit SU(6) example and relevance to string-inspired orbifold GUTs.

Findings

Mechanism naturally produces mu and B mu terms from radion F-term.

Explicit SU(6) model example demonstrates the mechanism.

Potential to test high-scale physics through Higgs mass patterns at the LHC.

Abstract

In 5-dimensional models with gauge-Higgs unification, the F-term vacuum expectation value of the radion provides, in close analogy to the Giudice-Masiero mechanism, a natural source for the mu and B mu term. Both the leading order gauge theory lagrangian and the supersymmetric Chern-Simons term contain couplings to the radion superfield which can be used for this purpose. We analyse the basic features of this mechanism for mu term generation and provide an explicit example, based on a variation of the SU(6) gauge-Higgs unification model of Burdman and Nomura. This construction contains all the relevant features used in our generic analysis. More generally, we expect our mechanism to be relevant to many of the recently discussed orbifold GUT models derived from heterotic string theory. This provides an interesting way of testing high-scale physics via Higgs mass patterns accessible at the LHC.