Five benefits of grand unified $SU(5)$ brane world scenario
Masato Arai, Filip Blaschke, Minoru Eto, Masaki Kawaguchi
TLDR
This paper constructs an economical $SU(5)$ Grand Unified Theory on 5D domain walls using scalar fields to solve key problems.
Key contributions
- Constructs an economical $SU(5)$ GUT on 5D domain walls using a single adjoint scalar and a singlet.
- Localizes chiral fermions and traps gauge fields via field-dependent kinetic terms.
- Breaks $SU(5)$ to Standard Model via geometric Higgs mechanism.
- Provides a novel solution to the doublet-triplet splitting problem by localizing the Higgs.
Why it matters
This work presents an elegant and economical $SU(5)$ Grand Unified Theory within a 5D brane-world scenario. It simultaneously addresses several long-standing issues, including gauge field trapping, fermion localization, and the doublet-triplet splitting problem, using a minimal set of scalar fields. This unified approach offers a promising path towards a more complete theory beyond the Standard Model.
Original Abstract
We construct an $SU(5)$ Grand Unified Theory on domain walls in the five-dimensional space-time. In this setup, we introduce an adjoint scalar field and a singlet that together form a set of five domain-wall solutions, realizing a dynamical brane-world. The same scalar fields also localize chiral fermion zero modes around the walls via the Jackiw-Rebbi mechanism, break $SU(5)$ down to the Standard Model gauge group via geometric Higgs mechanism and simultaneously trap gauge fields through a field-dependent gauge kinetic term. Furthermore, they enable localization of the Higgs field, providing a novel solution to the doublet-triplet splitting problem. As a result, all essential ingredients of the model are realized by a single adjoint scalar field and a singlet, making the construction very economical. We propose two realizations of the Higgs sector, derive the four-dimensional effective theory, and demonstrate that the Standard Model Yukawa couplings at the weak scale can be reproduced from the five-dimensional Yukawa couplings by the renormalization group analysis with a suitable choice of parameters.
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