Anomalous Higgs interactions in dimensional deconstruction

TL;DR

This paper explores how in dimensional deconstruction, Higgs interactions with matter become anomalous due to lattice effects and symmetry violations, differing from standard model predictions and gauge-Higgs unification.

Contribution

It demonstrates that anomalous Higgs interactions arise naturally in dimensional deconstruction without bulk mass terms, contrasting with gauge-Higgs unification.

Findings

Higgs-matter coupling deviates from Standard Model predictions.

Anomaly persists even without bulk mass terms in deconstruction.

Anomaly disappears in the continuum limit of extra space.

Abstract

Recent LHC experiments have revealed that Higgs is light. As an interesting candidate to accommodate light Higgs, in this paper we adopt the scenario of dimensional deconstruction, where Higgs is redarded as a pseudo-Nambu-Goldstone boson. Though the scenario is formulated in ordinary 4-dimensional space-time, it may also be interpreted as "latticized" gauge-Higgs unification. We point out that in this scenario Higgs interaction with matter field is anomalous, i.e. its coupling deviates from what the standard model predicts. The interplay between the periodicity of physical observables in the Higgs field and the violation of translational invariance along the extra-space due to the latticization is argued to play an essential role to get the anomalous interaction. Though the predicted anomalous Higgs interaction has much similarity to the one in the gauge-Higgs unification, in the case of dimensional deconstruction the anomaly exists even if we do not introduce bulk mass term for the chiral fermion realized by orbifolding, in clear contrast to the case of gauge-Higgs unification. It in turn means that the anomaly goes away in the continuum limit of the extra-space.