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.
Keywords
Cite
@article{arxiv.hep-ph/0501238,
title = {Majorana Fermions and CP Violation from 5-dimensional Theories; a Systematic Approach},
author = {Bohdan Grzadkowski and Jose Wudka},
journal= {arXiv preprint arXiv:hep-ph/0501238},
year = {2009}
}