Majorana Fermions and CP Violation from 5-dimensional Theories; a Systematic Approach

Abstract

Within five-dimensional compactified theories we discuss generalized periodicity and orbifold boundary conditions that allow for mixing between particles and anti-particles after a shift by the size of extra dimensions or after the orbifold reflection. A systematic strategy for constructing 4-dimensional models is presented, in particular we find a general form of the periodicity and orbifold conditions that are allowed by consistency requirements. We formulate general conditions for a presence of massless Kaluza-Klein modes and discuss remaining gauge symmetry of the zero-mode sector. It is shown that if the orbifold twist operation transforms particles into anti-particles then the zero-mode fermions are 4-dimensional Majorana fermions. The possibility of explicit and spontaneous CP violation is discussed. General considerations are illustrated by many Abelian and non-Abelian examples.

References in corpus (21)

• Towards a Realistic Model of Higgsless Electroweak Symmetry Breaking
• The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories
• Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$
• Electroweak symmetry breaking and fermion masses from extra dimensions
• The Structure of GUT Breaking by Orbifolding
• Unitarity of Compactified Five Dimensional Yang-Mills Theory
• The Hosotani Mechanism in Bulk Gauge Theories with an Orbifold Extra Space S^1/Z_2
• Unitarity of the Higher Dimensional Standard Model
• Dynamical symmetry breaking in Gauge-Higgs unification on orbifold
• Dynamical Rearrangement of Gauge Symmetry on the Orbifold S^1/Z_2
• Boundary conditions as constraints
• Wilson Lines and Symmetry Breaking on Orbifolds
• Matter Representations and Gauge Symmetry Breaking via Compactified Space
• Non-local symmetry breaking in Kaluza-Klein theories
• Classification and dynamics of equivalence classes in SU(N) gauge theory on the orbifold $S^1/Z_2$
• A general formula of the effective potential in 5D SU(N) gauge theory on orbifold
• Strong tree level unitarity violations in the extra dimensional Standard Model with scalars in the bulk
• Effect of Bare Mass on the Hosotani Mechanism
• 4D equivalence theorem and gauge symmetry on orbifold
• Equivalent effective Lagrangians for Scherk-Schwarz compactifications
• CP Violation from 5-dimensional QED

Cited by in corpus (3)

• Note on the strong CP problem from a 5-dimensional perspective
• 5-Dimensional Difficulties of Gauge-Higgs Unifications
• Dynamical Rearrangement of Theta Parameter in Presence of Mixed Chern-Simons Term