1. Rigorous treatment of the S1/Z2 orbifold model with brane-Higgs couplings
- Author
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Florian Nortier, Grégory Moreau, and Ruifeng Leng
- Subjects
Physics ,010308 nuclear & particles physics ,High Energy Physics::Lattice ,Yukawa potential ,Parity (physics) ,Fermion ,Fixed point ,01 natural sciences ,Theoretical physics ,0103 physical sciences ,Improper integral ,Higgs boson ,Brane ,010306 general physics ,Orbifold - Abstract
We build rigorously the attractive five-dimensional model where bulk fermions propagate along the ${\mathcal{S}}^{1}/{\mathbb{Z}}_{2}$ orbifold and interact with a Higgs boson localized at a fixed point of the extra dimension. The analytical calculation of the fermion mass spectrum and effective Yukawa couplings is shown to require the introduction of either essential boundary conditions (EBC) imposed by the model definition or certain bilinear brane terms (BBT) in the action, instead of the usual brane-Higgs regularizations. The obtained fermion profiles along the extra dimension turn out to undergo some discontinuities, in particular at the Higgs brane, which can be mathematically consistent if the action is well written with improper integrals. We also show that the ${\mathbb{Z}}_{2}$ parity transformations in the bulk do not affect the fermion chiralities, masses and couplings, in contrast with the EBC and the BBT, but when extended to the fixed points, they can generate the chiral nature of the theory and even select the Standard Model chirality setup while fixing as well the fermion masses and couplings. Thanks to the strict analysis developed, the duality with the interval model is scrutinized.
- Published
- 2021
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