Scaling of the Higgs Self-coupling and bounds on the Extra Dimension

Abstract

In this paper we study the one-loop evolution equation of the Higgs quartic coupling $\lambda$ in the minimal Universal Extra Dimension model, and find that there are certain bounds on the extra dimension due to the singularity and vacuum stability conditions of the Higgs sector. In the range $250GeV\sim R^{-1}\sim 80TeV$ of the compactification radius, we notice that for a given initial value $\lambda (M_Z)$, there is an upper limit on $R^{-1}$ for a Higgs mass of $183GeV\sim m_H(M_Z)\sim 187GeV$; where any other compactification scales beyond that have been ruled out for theories where the evolution of $\lambda$ does not develop a Landau pole and become divergent in the whole range (that is, from the electroweak scale to the unification scale). Likewise, in the range of the Higgs mass $152GeV\sim m_H(M_Z)\sim 157GeV$, for an initial value $\lambda (M_Z)$, we are led to a lower limit on $R^{-1}$; any other compactification scales below that will be ruled out for theories where the evolution of $\lambda$ does not become negative and destabilize the vacuum between the electroweak scale and the unification scale. For a Higgs mass in the range $157GeV<m_H(M_Z)<183GeV$, the evolution of $\lambda$ is finite and the theory is valid in the whole range (from the electroweak scale to the unification scale) for $250GeV\sim R^{-1}\sim 80TeV$.

10 pages, 8 figures

References in corpus (1)

• Evolution of the CKM Matrix in the Universal Extra Dimension Model

Cited by in corpus (7)

• Universal extra dimensions after Higgs discovery
• RG running in a minimal UED model in light of recent LHC Higgs mass bounds
• Running of Neutrino Parameters and the Higgs Self-Coupling in a Six-Dimensional UED Model
• Scaling of the CKM Matrix in the 5D MSSM
• Improved vacuum stability in a five dimensional model
• Evolution of Yukawa Couplings and Quark Flavour Mixings in the 5D MSSM
• Notes on sphere-based universal extra dimensions