Gauge-Higgs EW and grand unification

Abstract

4DHiggs field is identified with the extra-dimensional component of gauge potentials in the gauge-Higgs unification scenario. SO(5)×U (1) gaugeHiggs EW unification in the Randall-Sundrum warped space is successful at low energies. The Higgs field appears as an Aharonov-Bohm phase θH in the fifth dimension. Its mass is generated at the quantum level and is finite. The model yields almost the same phenomenology as the standard model for θH < 0.1, and predicts Z ′ bosons around 6 -10 TeV with very broad widths. The scenario is genelarized to SO(11) gauge-Higgs grand unification. Fermions are introduced in the spinor and vector representations of SO(11). Proton decay is naturally forbidden.

Hosotani mechanism in the "color"-singlet plasma

“…We consider D-dimensional spacetime and assume that the topology of space is R D−2 ⊗ S 1 and the circumference of the compact dimension is set to L. All the fields obey the periodic boundary condition with respect to the compact dimension. 3 Although the several conditions towards asymptotic freedom etc. may be a necessary condition for strong non-perturbative effects implicitly assumed, we will temporally ignore the conditions in the present toy model.…”

“…The theory of the fundamental scalar field, which is indispensable for the BEH mechanism, is unnatural in the sense of suffering huge quantum corrections. Accordingly, the gauge-Higgs unified model has been proposed as a candidate giving the solutions to the naturalness [2][3][4][5][6][7][8]. In the model, the extra-dimensional component of the gauge field plays the role of the Higgs field.…”

GUT inspired SO(5)×U(1)×SU(3)

“…A new model of SUð3Þ C × SOð5Þ W × Uð1Þ X GHU is defined in the Randall-Sundrum warped space. The construction is guided by the SOð11Þ gauge-Higgs grand unified model [31][32][33][34][35][36]. The metric g MN of the RS warped space [38] is given by…”

“…Many gauge-Higgs grand unification models have been proposed [25][26][27][28][29][30]. Among them the SOð11Þ GHU generalizes the gauge structure of the previous SOð5Þ × Uð1Þ X × SUð3Þ C model, yielding the 4D Higgs boson as an AB phase [31][32][33][34][35][36]. Fermions are introduced in the spinor and vector representations of SOð11Þ.…”

Special grand unification

“…The candidates for GUT gauge groups in gauge-Higgs grand unified theories are SU (n)(n ≥ 6), SO(n)(n ≥ 11), U Sp(2n)(n ≥ 5), E n (n = 6, 7, 8), F 4 . Five-dimensional (5D) gauge theories based on e.g., SU (5) [9,10], SU (6) [11,12], SU (7) [13], SU (8) [13], SO (10) [14,15], SO (11) [ [16][17][18][19][20], E 6 [13,21] gauge groups and six-dimensional (6D) ones based on e.g., SO (11) [22] are discussed.…”