Abstract

$SO(11)$ gauge-Higgs grand unification is formulated in the six-dimensional hybrid warped space in which the fifth and sixth dimensions play as the electroweak and grand-unification dimensions. Fermions are introduced in ${\bf 32}$, ${\bf 11}$ and ${\bf 1}$ of $SO(11)$. Small neutrino masses naturally emerge as a result of a new seesaw mechanism in the gauge-Higgs unification which is characterized by a $3 \times 3$ mass matrix.

Highlights

  • The discovery of the Higgs boson at LHC supports the scenario of the unification of electromagnetic and weak forces

  • SO(11) gauge-Higgs grand unification is formulated in the six-dimensional hybrid warped space in which the fifth and sixth dimensions play as the electroweak and grand-unification dimensions

  • Small neutrino masses naturally emerge as a result of a new seesaw mechanism in the gauge-Higgs unification which is characterized by a 3 × 3 mass matrix

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Summary

Its lightest mode has a mass of order of mt

Ψ432 plays the role of dark fermions in the SO(5) ×U(1) gauge-Higgs EW model, and is necessary to have 6d anomaly cancellation as well. The zero modes of Aav 11 (a = 1 ∼ 4) are 4d scalars with masses of O(g4mKK6) generated at the one loop level. The parity P0 = P2 = +1 components of the 6d bulk fermion fields, Ψα32, Ψβ11 and Ψ′1β1, have brane interactions with the brane scalar Φ32 on the UV brane at y = 0. They take the SO(11) invariant form such as δ(y)Ψ32ΓaΦ32(Ψ11)a. With χ written in terms of two-component spinors as χ = (ξ+, η+, ξ−, η−), the orbifold boundary condition implies that only ξ+ and η− have zero modes (v-independent modes). Combined with the boundary conditions, χ has only one independent zero mode in η−

Further there is a brane interaction
SL mB
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