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The left-right twin Higgs (LRTH) model, which adds an extra set of the Higgs to the Standard Model (SM) Higgs spectrum by the left-right discrete symmetry, is one of the phenomenological realization of the new physics models to solve the little hierarchy problem. In this paper, we will, in the gauge, give the complete Lagrangians in this new physics model and then apply them to the processes and . [ABSTRACT FROM AUTHOR]

Utilizing the gauge framework, software under development at Baylor University, we explicitly construct all layer 1 weakly coupled free fermionic heterotic string (WCFFHS) gauge models up to order 32 in four to ten large spacetime dimensions. These gauge models are well suited to large scale systematic surveys and, while they offer little phenomenologically, are useful for understanding the structure of the WCFFHS region of the string landscape. Herein, we present the gauge groups statistics for this swath of the landscape for both supersymmetric and non-supersymmetric models. [ABSTRACT FROM AUTHOR]

The relationship between local Weyl scaling invariant models and local dilatation invariant actions is critically scrutinized. While actions invariant under local Weyl scalings can be constructed in a straightforward manner, actions invariant under local dilatation transformations can only be achieved in a very restrictive case. The invariant couplings of matter fields to an Abelian vector field carrying a nontrivial scaling weight can be easily built, but an invariant Abelian vector kinetic term can only be realized when the local scale symmetry is spontaneously broken. [ABSTRACT FROM AUTHOR]