On the Unification of Higgs-Nambu Goldstone Boson in the Formation of Near-brane Exotic Scalar via Scherk-Shwarz Breaking in 5-Dimensional SU(6) Symmetry

The 5D Scherk-Schwarz breaking with orbifold S/Z2 in SU(6) symmetry under special condition leads to a dimensional deconstruction without gauge symmetry breaking where SU(6) Little Higgs-like scalars show up either as weakly-coupled or strongly-coupled. The latest, together with the broken fifth component of 5D gauge boson, composes Coleman-Weinberg potential which can be generalized by substituting PNB (Pseudo Nambu-Goldstone boson) Higgs as the broken fifth component, with Nambu-Goldstone boson being the third component of a massive 4D gauge boson in electroweak theory. A doublevacua symmetry emerges, based on Baker-Campbell-Hausdorff approach, with its shift and twist breaking terms which facilitate the unification of Higgs-NGB to become exotic scalars named as Scherk-Schwarz scalars. Under unitary transformation the double-vacua shift symmetry breaks via twistedly-broken manner 294 F.P. Zen, A. Hartanto and J.S. Kosasih i.e. the NGB swallowing and digesting mode where the first consists of transferring 2 (two) degrees of freedom from 2 (two) NGBs without additional mass while the second with additional mass to PNB Higgs in the Higgs-NGB unification. The unification results in a free and bonded gauge-like single scalar which becomes the main components of exotic scalars such as 3-scalar Higgs, Higgs-like and gauge-like 3-component scalars. Ranges of masses for the exotic Higgs suit the latest LHC data with excluded zone 145− 466 GeV while for the exotic 3-component scalars run continuously up to 1.5 TeV.