Left-right symmetry, orbifold $S^1/Z_2$, and radiative breaking of $U(1{)}_{\mathrm{R}}\times U(1{)}_{\mathrm{B}-\mathrm{L}}$

Abstract

We study the origin of electroweak symmetry under the assumption that $SU(4{)}_{\mathrm{C}}\times SU(2{)}_{\mathrm{L}}\times SU(2{)}_{\mathrm{R}}$ is realized on a five-dimensional space-time. The Pati-Salam type gauge symmetry is reduced to $SU(3{)}_{\mathrm{C}}\times SU(2{)}_{\mathrm{L}}\times U(1{)}_{\mathrm{R}}\times U(1{)}_{\mathrm{B}-\mathrm{L}}$ by orbifold breaking mechanism on the orbifold $S^1/Z_2$. The breakdown of residual gauge symmetries occurs radiatively via the Coleman-Weinberg mechanism, such that the $U(1{)}_{\mathrm{R}}\times U(1{)}_{\mathrm{B}-\mathrm{L}}$ symmetry is broken down to $U(1{)}_{\mathrm{Y}}$ by the vacuum expectation value of an $SU(2{)}_{\mathrm{L}}$ singlet scalar field and the $SU(2{)}_{\mathrm{L}}\times U(1{)}_{\mathrm{Y}}$ symmetry is broken down to the electric one $U(1{)}_{\mathrm{EM}}$ by the vacuum expectation value of an $SU(2{)}_{\mathrm{L}}$ doublet scalar field regarded as the Higgs doublet. The negative Higgs squared mass term is originated from an interaction between the Higgs doublet and an $SU(2{)}_{\mathrm{L}}$ singlet scalar field as a Higgs portal. The vacuum stability is recovered due to the contributions from Kaluza-Klein modes of gauge bosons.

arXiv comment17 pages, 3 figures, Reference added

References in corpus (19)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Extra Spacetime Dimensions and Unification
• Grand Unification at Intermediate Mass Scales through Extra Dimensions
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• The Standard Model from extra dimensions
• Classically Conformal B-L extended Standard Model
• Transmission of Supersymmetry Breaking from a 4-Dimensional Boundary
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• The minimal B-L model naturally realized at TeV scale
• Low scale B-L extension of the Standard Model at the LHC
• The Next-to-Minimal Coleman-Weinberg Model
• Radiative Symmetry Breaking of the Minimal Left-Right Symmetric Model
• Long Lived Light Scalars as Probe of Low Scale Seesaw Models
• Effective theoretical approach of Gauge-Higgs unification model and its phenomenological applications
• Orbifold Breaking of Left-Right Gauge Symmetry
• Left-right symmetry in 5D and neutrino mass in TeV scale gravity models

Cited by in corpus (1)

• Phenomenology of an $E_6$ inspired extension of Standard Model: Higgs sector