$CP$ phase from twisted Higgs vacuum expectation value in extra dimension

Abstract

We propose a new mechanism for generating a CP phase via Higgs a vacuum expectation value originating from geometry of an extra dimension. A twisted boundary condition is the key to produce an extra-dimension coordinate-dependent vacuum expectation value, which contains a CP phase degree of freedom and can be a new source of a CP phase in higher-dimensional gauge theories. As an illustrative example, we apply our mechanism to a five-dimensional gauge theory with point interactions and show that our mechanism can dynamically produce a nontrivial CP-violating phase with electroweak symmetry breaking, even though the five-dimensional model does not include any CP-violating phases of Yukawa couplings in the five-dimensional Lagrangian because of a single generation of five-dimensional fermions. We apply our mechanism to a model with point interactions, which has no source of CP-violating phases in the couplings of the higher-dimensional action, and show that a nontrivial CP phase dynamically appears.

14 pages, 2 figures, 1 table (v1); 15 pages, 2 figures, 1 table, some representations modified, typos fixed, some references added (v2); published version in PRD, 19 pages, 5 figures, 2 tables, title changed, discussion improved, typos fixed, an appendix added (v3)

References in corpus (14)

• 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
• Non-minimal universal extra dimensions
• $Z_N$ twisted orbifold models with magnetic flux
• Gauge Fields, Fermions and Mass Gaps in 6D Brane Worlds
• Shifted orbifold models with magnetic flux
• Casimir effect for the scalar field under Robin boundary conditions: A functional integral approach
• Supersymmetry in 5d Gravity
• Unitarity, BRST Symmetry and Ward Identities in Orbifold Gauge Theories
• Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions
• The Hierarchy Problem and the Self-Localized Higgs
• Selecting Gauge Theories on an Interval by 5D Gauge Transformations
• Modified spontaneous symmetry breaking pattern by brane-bulk interaction terms
• Hierarchy of QM SUSYs on a Bounded Domain

Cited by in corpus (15)

• $Z_N$ twisted orbifold models with magnetic flux
• Classification of three-generation models on magnetized orbifolds
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes
• Dynamical generation of fermion mass hierarchy in an extra dimension
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Majorana neutrinos with point interactions
• Index theorem on $T^2/{\mathbb{Z}}_N$ orbifolds
• Index and winding numbers on $T^2/{\mathbb{Z}}_N$ orbifolds with magnetic flux
• Supersymmetry in 6d Dirac Action
• Large Star/Rose Extra Dimension with Small Leaves/Petals
• Active Dirac Neutrinos via $SU(2{)}_L$ Doublets in 5d
• 5d Dirac fermion on quantum graph
• Dynamical generation of quark/lepton mass hierarchy in an extra dimension
• Correspondence of topological classification between quantum graph extra dimension and topological matter