Left–right symmetry, orbifold $S^1/Z_2$, and radiative breaking of $U(1)_{\rm R} \times U(1)_{\rm B-L}$. (12th October 2018)

• Record Type: Journal Article
• Authors: Abe, Yugo; Goto, Yuhei; Kawamura, Yoshiharu
• Is Part Of: Progress of theoretical and experimental physics. Volume 2018:Number 10(2018)
• Publication Date: 2018-10-12
• Subjects: B40 -- B43; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/pty095
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: We study the origin of electroweak symmetry under the assumption that $SU(4)_{\rm C} \times SU(2)_{\rm L} \times SU(2)_{\rm R}$ is realized on a five-dimensional space-time. The Pati–Salam-type gauge symmetry is reduced to $SU(3)_{\rm C} \times SU(2)_{\rm L} \times U(1)_{\rm R} \times U(1)_{\rm B-L}$ by the 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 $U(1)_{\rm R} \times U(1)_{\rm B-L}$ symmetry is broken down to $U(1)_{\rm Y}$ by the vacuum expectation value of an $SU(2)_{\rm L}$ singlet scalar field and the $SU(2)_{\rm L} \times U(1)_{\rm Y}$ symmetry is broken down to the electric one $U(1)_{\rm EM}$ by the vacuum expectation value of an $SU(2)_{\rm L}$ doublet scalar field regarded as the Higgs doublet. The negative Higgs squared mass term originates from an interaction between the Higgs doublet and an $SU(2)_{\rm L}$ singlet scalar field as a Higgs portal. The vacuum stability is recovered due to the contributions from the Kaluza–Klein modes of gauge bosons.